Difference between revisions of "Bibliography"

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[#A AAA]
 
[#A AAA]
 
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Aa - Aassila; Ab - Ablowitz; Abd - Abdelouhab; Ac - Anco; Adh H. Added; Ads S. Added; Ag Agemi; Al - Alinhac; An - Andersson; Ant - Antonini; Ar - Artbazar; As - Ash; Ax Alexander
+
Aa - Aassila; Ab - Ablowitz; Abd - Abdelouhab; Ac - Anco; Adh \u2013 H. Added; Ads \u2013 S. Added; Ag \u2013 Agemi; Al - Alinhac; An - Andersson; Ant - Antonini; Ar - Artbazar; As - Ash; Ax \u2013 Alexander
 
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[#B BBB]
 
[#B BBB]
 
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Ba - Bahouri; Bae - Baez; Ban Banica; Bb - Barab; Bc - Belchev; Bch - Bachelot; Bct - Bouchut, Bd - de Bouard; Bdm Boutet de Monvel; Bds - Bardos, Be - Beals; Bec - Bechouche, Ben - Ben-Artzi; Ber - Berestycki; Bg - Berger; Bi - Biagiono; Bir - Birnir; Biz - Bizon; Bj - Benjamin; Bl - Baillon; Blu Blue; Bk - Bekiranov; Bn - Bona; Bo - Bourgain; Bou - Bournaveas; Br - Brenner; Brl; Breitenlohner; Bro - Bronski; Brz - Brezis; Bs - Brodsky; Bu - Burq; Bu. - Bu; Bub - Bubnov; Bus Buslaev; By - Benney; Bz - Bezard
+
Ba - Bahouri; Bae - Baez; Ban \u2013 Banica; Bb - Barab; Bc - Belchev; Bch - Bachelot; Bct - Bouchut, Bd - de Bouard; Bdm \u2013 Boutet de Monvel; Bds - Bardos, Be - Beals; Bec - Bechouche, Ben - Ben-Artzi; Ber - Berestycki; Bg - Berger; Bi - Biagiono; Bir - Birnir; Biz - Bizon; Bj - Benjamin; Bl - Baillon; Blu \u2013 Blue; Bk - Bekiranov; Bn - Bona; Bo - Bourgain; Bou - Bournaveas; Br - Brenner; Brl; Breitenlohner; Bro - Bronski; Brz - Brezis; Bs - Brodsky; Bu - Burq; Bu. - Bu; Bub - Bubnov; Bus \u2013 Buslaev; By - Benney; Bz - Bezard
 
|- style="mso-yfti-irow: 2"
 
|- style="mso-yfti-irow: 2"
 
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[#C CCC]
 
[#C CCC]
 
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Ca - Cazenave; Caf Caffarelli; Cal - Calogero; Car - Carles; Cc - Chrusciel; Cd - Christodoulou; Cg - Chang; Ch - Chemin; Chd - Chadam; Chp - Choptuik; Ci - Chihara; Cj; Chmaj; Ck - Costakis; Cn T. Colin; Co - Colliander; Coe - Cohen; Coh - Cohn; Coi - Coifman; Col M. Colin; Con - Constantin; Cq - Choquet-Bruhat; Cr - Craig; Crr - Carrol; Cs - Cronstrom; Ct - Christ; Cu Cuccagna; Cv - Carvajal
+
Ca - Cazenave; Caf \u2013 Caffarelli; Cal - Calogero; Car - Carles; Cc - Chrusciel; Cd - Christodoulou; Cg - Chang; Ch - Chemin; Chd - Chadam; Chp - Choptuik; Ci - Chihara; Cj; Chmaj; Ck - Costakis; Cn \u2013 T. Colin; Co - Colliander; Coe - Cohen; Coh - Cohn; Coi - Coifman; Col \u2013 M. Colin; Con - Constantin; Cq - Choquet-Bruhat; Cr - Craig; Crr - Carrol; Cs - Cronstrom; Ct - Christ; Cu \u2013 Cuccagna; Cv - Carvajal
 
|- style="mso-yfti-irow: 3"
 
|- style="mso-yfti-irow: 3"
 
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[#D DDD]
 
[#D DDD]
 
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Da - Dahlberg; Dan - D'Ancona; Dav - Davey; Db - Debussche; De - Delort; Df - Deift; Dg - Dougalis; Di - Ding; Dia Dias; DM - Di Menza; Do - Doi; Don - Dong; Dt - Datti; Du Dumitrascu; Duy Duyckaerts; Dy Dysthe
+
Da - Dahlberg; Dan - D'Ancona; Dav - Davey; Db - Debussche; De - Delort; Df - Deift; Dg - Dougalis; Di - Ding; Dia \u2013 Dias; DM - Di Menza; Do - Doi; Don - Dong; Dt - Datti; Du \u2013 Dumitrascu; Duy \u2013 Duyckaerts; Dy \u2013 Dysthe
 
|- style="mso-yfti-irow: 4"
 
|- style="mso-yfti-irow: 4"
 
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[#E EEE]
 
[#E EEE]
 
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Ea - Eardley; Ec Eckhaus; El El Dika; Es Esteban; Esc Escobedo
+
Ea - Eardley; Ec \u2013 Eckhaus; El \u2013 El Dika; Es \u2013 Esteban; Esc \u2013 Escobedo
 
|- style="mso-yfti-irow: 5"
 
|- style="mso-yfti-irow: 5"
 
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[#F FFF]
 
[#F FFF]
 
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Fa - Faminskii; Fc - Foschi; Fg - Fang; Fe - Felland; Fer - Fermanian; Fi Figueira; Fk - Fukuizumi; Fl - Falkovitch; Fo - Fonseca; For - Forgacs; Fr - Freire; Frd Friedman; Fri - Friedrich; Fro Frohlich; Fs - Fokas; Ft - Flato; Fu - Fukuda; Fuj - Fujiwara; Fur - Furioli
+
Fa - Faminskii; Fc - Foschi; Fg - Fang; Fe - Felland; Fer - Fermanian; Fi \u2013 Figueira; Fk - Fukuizumi; Fl - Falkovitch; Fo - Fonseca; For - Forgacs; Fr - Freire; Frd \u2013 Friedman; Fri - Friedrich; Fro \u2013 Frohlich; Fs - Fokas; Ft - Flato; Fu - Fukuda; Fuj - Fujiwara; Fur - Furioli
 
|- style="mso-yfti-irow: 6"
 
|- style="mso-yfti-irow: 6"
 
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[#G GGG]
 
[#G GGG]
 
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Ga - Gallouet; Gal - Gallagher; Gar Gardener; Gb - Goldberg; Gc - Geroch; Ge - Georgiev; Gea - Gear; Gd - Gerard; Gg - Glangetas; Gh - Ghidaglia; Gi - Ginibre; Gl - Grillakis; Go - Godin; Gol - Golse; Gr - Gruenrock; Gre Greene; Grf Graf; Gri Grinevich; Grn - Grenier; Grs - Gross; Gs - Glassey;; Gu - Gu; Gue - Guedda; Gus Gustafson; Guo - Guo; Gw Grimshaw
+
Ga - Gallouet; Gal - Gallagher; Gar \u2013 Gardener; Gb - Goldberg; Gc - Geroch; Ge - Georgiev; Gea - Gear; Gd - Gerard; Gg - Glangetas; Gh - Ghidaglia; Gi - Ginibre; Gl - Grillakis; Go - Godin; Gol - Golse; Gr - Gruenrock; Gre \u2013 Greene; Grf \u2013 Graf; Gri \u2013 Grinevich; Grn - Grenier; Grs - Gross; Gs - Glassey;; Gu - Gu; Gue - Guedda; Gus \u2013 Gustafson; Guo - Guo; Gw \u2013 Grimshaw
 
|- style="mso-yfti-irow: 7"
 
|- style="mso-yfti-irow: 7"
 
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[#H HHH]
 
[#H HHH]
 
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Hab - Haberman; Ha - Hayashi; Har Harmse; Has Hasegawa; He - Helein; Hg - Hoshiga; Hi - Hidano; Him - Himonas; Hm - Hasimoto; Hp - Hoppe; Ho - Hormander; Hog Hogan; Hr - Hirata; Hs - Hoshiro; Hsl Hassell; Hx - Haraux; Hu Hughes; Huo - Huo
+
Hab - Haberman; Ha - Hayashi; Har \u2013 Harmse; Has \u2013 Hasegawa; He - Helein; Hg - Hoshiga; Hi - Hidano; Him - Himonas; Hm - Hasimoto; Hp - Hoppe; Ho - Hormander; Hog \u2013 Hogan; Hr - Hirata; Hs - Hoshiro; Hsl \u2013 Hassell; Hx - Haraux; Hu \u2013 Hughes; Huo - Huo
 
|- style="mso-yfti-irow: 8"
 
|- style="mso-yfti-irow: 8"
 
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[#I III]
 
[#I III]
 
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Ib - Isenberg; Ic Ichinose; Ik - Ikawa; Im - Ishimori; Io - Iorio Jr.; Ion Ionescu; Is Isaza; Isk Isakov;It Its; Iv - Ivanov
+
Ib - Isenberg; Ic \u2013 Ichinose; Ik - Ikawa; Im - Ishimori; Io - Iorio Jr.; Ion \u2013 Ionescu; Is \u2013 Isaza; Isk \u2013 Isakov;It \u2013 Its; Iv - Ivanov
 
|- style="mso-yfti-irow: 9"
 
|- style="mso-yfti-irow: 9"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#J JJJ]
 
[#J JJJ]
 
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| style="padding: .75pt .75pt .75pt .75pt" |
Je - Jensen; Jer - Jerrard; Ji Jiao; Jo - John; Jou Journe; Jor Jorgens
+
Je - Jensen; Jer - Jerrard; Ji \u2013 Jiao; Jo - John; Jou \u2013 Journe; Jor \u2013 Jorgens
 
|- style="mso-yfti-irow: 10"
 
|- style="mso-yfti-irow: 10"
 
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| style="padding: .75pt .75pt .75pt .75pt" |
 
[#K KKK]
 
[#K KKK]
 
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| style="padding: .75pt .75pt .75pt .75pt" |
Ka - T. Kato; Kai - Kaikina; Kar - Karakashian; Kau - Kaup; Kak - K. Kato; Kav - Kavian; Kb Kubota; Kd - Kadomtsev; Ke - Keel; Ker - Keraani; Kg - Krieger; Ki Kichenassamy; Kk - Kepka; Kl - Klainerman; Kel - Keller; Kn - Kenig; Ko - Kovalyov; Koc - Koch; Kod Kodama; Koe Koenig; Kol - Kolomeisky; Kon Konopelchenko; Koz Kozono; Kp - Kappeler; Kr - Kruzhkov; Kri - Krieger; Kru Kruskal; Ks - Kosecki; Kt - Kapitanski; Ku - Kubo; Kuk Kuksin; Kum - Kumlin; Kw - Korteweg; Ky - Katayama; Kz Kunze
+
Ka - T. Kato; Kai - Kaikina; Kar - Karakashian; Kau - Kaup; Kak - K. Kato; Kav - Kavian; Kb \u2013 Kubota; Kd - Kadomtsev; Ke - Keel; Ker - Keraani; Kg - Krieger; Ki \u2013 Kichenassamy; Kk - Kepka; Kl - Klainerman; Kel - Keller; Kn - Kenig; Ko - Kovalyov; Koc - Koch; Kod \u2013 Kodama; Koe \u2013 Koenig; Kol - Kolomeisky; Kon \u2013 Konopelchenko; Koz \u2013 Kozono; Kp - Kappeler; Kr - Kruzhkov; Kri - Krieger; Kru \u2013 Kruskal; Ks - Kosecki; Kt - Kapitanski; Ku - Kubo; Kuk \u2013 Kuksin; Kum - Kumlin; Kw - Korteweg; Ky - Katayama; Kz \u2013 Kunze
 
|- style="mso-yfti-irow: 11"
 
|- style="mso-yfti-irow: 11"
 
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| style="padding: .75pt .75pt .75pt .75pt" |
 
[#L LLL]
 
[#L LLL]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
La - Ladyzhenskaya; Lab Laba; Lad - Ladhari; Lan - Landman; Lau Laurey; Lb - Lindblad; Le - Lee; Leb Lebeau; Lh H. Li; Li - Linares; Lie - Liebling; Lim Lim; Lit Littman; Liu - Y. Liu; Ln - Lin; Lo - Lions; Lop Lopez; Ls - S.J. Li; Lt - T. Li; Lu Luo; Lx Lax
+
La - Ladyzhenskaya; Lab \u2013 Laba; Lad - Ladhari; Lan - Landman; Lau \u2013 Laurey; Lb - Lindblad; Le - Lee; Leb \u2013 Lebeau; Lh \u2013 H. Li; Li - Linares; Lie - Liebling; Lim \u2013 Lim; Lit \u2013 Littman; Liu - Y. Liu; Ln - Lin; Lo - Lions; Lop \u2013 Lopez; Ls - S.J. Li; Lt - T. Li; Lu \u2013 Luo; Lx \u2013 Lax
 
|- style="mso-yfti-irow: 12"
 
|- style="mso-yfti-irow: 12"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#M MMM]
 
[#M MMM]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Ma - Machedon; Ma. Ma; Mac - Machihara; Mad Maddocks; Mah Mahony; Mai - Maison; Man - Manakov; Mar - Marsden; Mas - Masmoudi; Mat Matkarimov; Mau - Mauser; Max Maxwell; Mc - Moncrief; Me - Merle; Met - Metcalfe; Mh - Mohr; Mi - Miura; Mia - Miao; Mil - Miller; Mis - Misiolek; Miz - Mizumachi; Mj - Mejia; Mk - Markowich; Ml - Molinet; Mm - Matsamura; Mo - Montgomery-Smith; Mr - Moriyama; Ms - Marshall; Mt -Martel; Mu - Muller; Mur - Muramatu; My - Moyua; Mz - Morawetz; Mzh Mizohata
+
Ma - Machedon; Ma. \u2013 Ma; Mac - Machihara; Mad \u2013 Maddocks; Mah \u2013 Mahony; Mai - Maison; Man - Manakov; Mar - Marsden; Mas - Masmoudi; Mat \u2013 Matkarimov; Mau - Mauser; Max \u2013 Maxwell; Mc - Moncrief; Me - Merle; Met - Metcalfe; Mh - Mohr; Mi - Miura; Mia - Miao; Mil - Miller; Mis - Misiolek; Miz - Mizumachi; Mj - Mejia; Mk - Markowich; Ml - Molinet; Mm - Matsamura; Mo - Montgomery-Smith; Mr - Moriyama; Ms - Marshall; Mt -Martel; Mu - Muller; Mur - Muramatu; My - Moyua; Mz - Morawetz; Mzh \u2013 Mizohata
 
|- style="mso-yfti-irow: 13"
 
|- style="mso-yfti-irow: 13"
 
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| style="padding: .75pt .75pt .75pt .75pt" |
 
[#N NNN]
 
[#N NNN]
 
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| style="padding: .75pt .75pt .75pt .75pt" |
Na - Nakanishi; Nc - Nenciu; Nd - Nahmod; Ne - Newell; New - Newman; Nk - Nakamitsu; Nko - Nakao; Nkr - M. Nakamura; Nky - Y. Nakamura; Ni - Nicolo; Nic Nicolas; Nie - Nier; Nj - Najman; Nm - Naumkin; No - Novoksenov; Nu - Nunes; Nw Nawa
+
Na - Nakanishi; Nc - Nenciu; Nd - Nahmod; Ne - Newell; New - Newman; Nk - Nakamitsu; Nko - Nakao; Nkr - M. Nakamura; Nky - Y. Nakamura; Ni - Nicolo; Nic \u2013 Nicolas; Nie - Nier; Nj - Najman; Nm - Naumkin; No - Novoksenov; Nu - Nunes; Nw \u2013 Nawa
 
|- style="mso-yfti-irow: 14"
 
|- style="mso-yfti-irow: 14"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#O OOO]
 
[#O OOO]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Ob Oberlin; Og - Ogawa; Oh - Oh; On Ono; Ot - Ohta; Ott Ott; Ov Ovchinnikov; Oz Ozawa
+
Ob \u2013 Oberlin; Og - Ogawa; Oh - Oh; On \u2013 Ono; Ot - Ohta; Ott \u2013 Ott; Ov \u2013 Ovchinnikov; Oz \u2013 Ozawa
 
|- style="mso-yfti-irow: 15"
 
|- style="mso-yfti-irow: 15"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#P PPP]
 
[#P PPP]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Pal - Pallard; Pa - Pang;Pan Panthee; Pap - Papanicolau; Pe - Pecher; Per - Perelman; Pg - Pego; Ph - Phillips; Pi - Pillet; Pie Pierfelice; Pl - Planchon; Pm - Pohlmeyer; Pn - Penrose; Po - Ponce; Pom Pomponio; Pop Poppenberg; Pp - Popivanov; Pv Petviashvili
+
Pal - Pallard; Pa - Pang;Pan \u2013 Panthee; Pap - Papanicolau; Pe - Pecher; Per - Perelman; Pg - Pego; Ph - Phillips; Pi - Pillet; Pie \u2013 Pierfelice; Pl - Planchon; Pm - Pohlmeyer; Pn - Penrose; Po - Ponce; Pom \u2013 Pomponio; Pop \u2013 Poppenberg; Pp - Popivanov; Pv \u2013 Petviashvili
 
|- style="mso-yfti-irow: 16"
 
|- style="mso-yfti-irow: 16"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#Q QQQ]
 
[#Q QQQ]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Qi Qi
+
Qi \u2013 Qi
 
|- style="mso-yfti-irow: 17"
 
|- style="mso-yfti-irow: 17"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#R RRR]
 
[#R RRR]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Ra - Rauch; Ral Ralston; Rap - Raphael; Re - Reed; Rei - Rein; Ren - Rendall; Ri - Ribaud; Ro - Rodnianski; Rol Rolvung; Rm Rammaha; Rs - Rose; Ru - Ruiz; Ry Raynor
+
Ra - Rauch; Ral \u2013 Ralston; Rap - Raphael; Re - Reed; Rei - Rein; Ren - Rendall; Ri - Ribaud; Ro - Rodnianski; Rol \u2013 Rolvung; Rm \u2013 Rammaha; Rs - Rose; Ru - Ruiz; Ry \u2013 Raynor
 
|- style="mso-yfti-irow: 18"
 
|- style="mso-yfti-irow: 18"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#S SSS]
 
[#S SSS]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Sa - Shatah; Sac - Sachs; San Santini; Sau - Saut; Sb - Selberg; Sc - Scheure; Scf - Schaeffer; Scg - Schlag; Sch - Schneider; Scl - Schulman; Sco Scott;Scr Schuur; Scz - Schwarz; Sct - Schochet; Se - Segur; Ser - Sere; Sf - Soffer; Sg - Segal; Sh - Shubov; Sha - Shabat; Shb - Shibata; Shi Shimomura; Shp - Shepelsky; Si - Sideris; Sid - Sidi; Sig Sigal; Sj - Sjoberg; Sl - Sjolin; Smh - H. Smith; Smo Smoller; Smr - R. Smith; Sn - Simon; Sng - Sung; So - Sogge; Sou - Sougandis; Sp - Sparber; Sr - Strauss; St - Staffilani; Sta Stalker; Stb - Stallbohm; Ste - Stewart; Str - Straley; Stv - Stefanov; Stz - Sterbenz; Su - Sun; Suc - C. Sulem; Sud Sudan; Sup - P. Sulem; Sv - Svanstedt; Sw - Struwe; Sy - Souyer; Sz Strichartz; Sze - Szeftel
+
Sa - Shatah; Sac - Sachs; San \u2013 Santini; Sau - Saut; Sb - Selberg; Sc - Scheure; Scf - Schaeffer; Scg - Schlag; Sch - Schneider; Scl - Schulman; Sco \u2013 Scott;Scr \u2013 Schuur; Scz - Schwarz; Sct - Schochet; Se - Segur; Ser - Sere; Sf - Soffer; Sg - Segal; Sh - Shubov; Sha - Shabat; Shb - Shibata; Shi \u2013 Shimomura; Shp - Shepelsky; Si - Sideris; Sid - Sidi; Sig \u2013 Sigal; Sj - Sjoberg; Sl - Sjolin; Smh - H. Smith; Smo \u2013 Smoller; Smr - R. Smith; Sn - Simon; Sng - Sung; So - Sogge; Sou - Sougandis; Sp - Sparber; Sr - Strauss; St - Staffilani; Sta \u2013 Stalker; Stb - Stallbohm; Ste - Stewart; Str - Straley; Stv - Stefanov; Stz - Sterbenz; Su - Sun; Suc - C. Sulem; Sud \u2013 Sudan; Sup - P. Sulem; Sv - Svanstedt; Sw - Struwe; Sy - Souyer; Sz \u2013 Strichartz; Sze - Szeftel
 
|- style="mso-yfti-irow: 19"
 
|- style="mso-yfti-irow: 19"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#T TTT]
 
[#T TTT]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Ta - Tao; Tan - Tan; Tak - Takeuchi; Tar Tarama; Tao - Taoka; Tay - Taylor; Tb - Tabor; Te - Terng; Tem Temam; Ter - Terraneo; Tg - Tsugawa; Tk - Takaoka; Tkh Takhatajan; Tl - Taflin; Tm - Tom; Tn - Taniguchi; Tns Tanisaka; Ton Tonegawa; Tp - Topalov; Tr - Turitsyn; Ts Y. Tsutsumi; Tsa - Tsai; Tsm M. Tsutsumi; Tt - Tataru; Tu - Tu; Tv - Tahvildah-Zadeh; Tw - Tonegawa; Ty - Tsutaya; Tz - Tzvetkov; Tzi - Tzirakis
+
Ta - Tao; Tan - Tan; Tak - Takeuchi; Tar \u2013 Tarama; Tao - Taoka; Tay - Taylor; Tb - Tabor; Te - Terng; Tem \u2013 Temam; Ter - Terraneo; Tg - Tsugawa; Tk - Takaoka; Tkh \u2013 Takhatajan; Tl - Taflin; Tm - Tom; Tn - Taniguchi; Tns \u2013 Tanisaka; Ton \u2013 Tonegawa; Tp - Topalov; Tr - Turitsyn; Ts \u2013 Y. Tsutsumi; Tsa - Tsai; Tsm \u2013 M. Tsutsumi; Tt - Tataru; Tu - Tu; Tv - Tahvildah-Zadeh; Tw - Tonegawa; Ty - Tsutaya; Tz - Tzvetkov; Tzi - Tzirakis
 
|- style="mso-yfti-irow: 20"
 
|- style="mso-yfti-irow: 20"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#U UUU]
 
[#U UUU]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Uh - Uhlenbeck; Uk Ukai
+
Uh - Uhlenbeck; Uk \u2013 Ukai
 
|- style="mso-yfti-irow: 21"
 
|- style="mso-yfti-irow: 21"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#V VVV]
 
[#V VVV]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Va - Vargas; Vaz Vazquez; Vd - Vladimirov; Ve - Vega; Vi - Vilela; Vis Viscagilia; Vl - Velo; Vr- de Vries
+
Va - Vargas; Vaz \u2013 Vazquez; Vd - Vladimirov; Ve - Vega; Vi - Vilela; Vis \u2013 Viscagilia; Vl - Velo; Vr- de Vries
 
|- style="mso-yfti-irow: 22"
 
|- style="mso-yfti-irow: 22"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#W WWW]
 
[#W WWW]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Wa - Wainger; Wad - Wada; Wal - Walther; Wc - Wickerhauser; We - Weissler; Wed - Weder; Wg W. Wang;Wgg; G. Wang; Wgh - H. Wang; Wgy - Y.D. Wang; Wgx - X.H. Wang;; Wh - von Wahl; Wi - Winther;Wic - Wickerhauser; Wn - Wayne;Wo - Wolff; Wol - Wollman; Woo Wood; Ws - Weinstein; Wu Wuller;Wun Wunsch; Wx - Wilcox
+
Wa - Wainger; Wad - Wada; Wal - Walther; Wc - Wickerhauser; We - Weissler; Wed - Weder; Wg \u2013 W. Wang;Wgg; G. Wang; Wgh - H. Wang; Wgy - Y.D. Wang; Wgx - X.H. Wang;; Wh - von Wahl; Wi - Winther;Wic - Wickerhauser; Wn - Wayne;Wo - Wolff; Wol - Wollman; Woo \u2013 Wood; Ws - Weinstein; Wu \u2013 Wuller;Wun \u2013 Wunsch; Wx - Wilcox
 
|- style="mso-yfti-irow: 23"
 
|- style="mso-yfti-irow: 23"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
[#A XXX]
 
[#A XXX]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Xi Xin; Xu - Xu; Xue Xue
+
Xi \u2013 Xin; Xu - Xu; Xue \u2013 Xue
 
|- style="mso-yfti-irow: 24"
 
|- style="mso-yfti-irow: 24"
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Line 131: Line 131:
 
[#Z ZZZ]
 
[#Z ZZZ]
 
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Za - Zabusky; Zaa Zaag; Zg - B. Zhang; Zgg - G. Zhang; Zgq Q. Zhang; Zgx X. Zhang; Zh - Y. Zhou; Zi- Zielinski; Zk - Zakharov; Zx - X. Zhou, Zz - Z. Zhou
+
Za - Zabusky; Zaa \u2013 Zaag; Zg - B. Zhang; Zgg - G. Zhang; Zgq \u2013 Q. Zhang; Zgx \u2013 X. Zhang; Zh - Y. Zhou; Zi- Zielinski; Zk - Zakharov; Zx - X. Zhou, Zz - Z. Zhou
 
|}
 
|}
  
Line 137: Line 137:
 
----
 
----
 
</center></div>
 
</center></div>
 +
 +
__notoc__
  
 
<center>A</center>
 
<center>A</center>
  
* [Aa2002] M. Aassilla, ''Nonexistence de solutions globales de certains equations d'ondes nonlineaires'', C. R. Acad. Sci. Paris. '''334''' (2002), 961-966.
+
 
* [AbdBnFelSau1989] L. Abdelouhab, J. Bona, M. Felland, J. Saut, ''Nonlocal models for nonlinear dispersive waves'', Phys. D '''40''' (1989), 360-392.
+
=====Aa2002=====
* [AbKauNeSe1974] M. Ablowitz, D. Kaup, A. Newell, H. Segur, ''The inverse scattering transform-Fourier analysis for nonlinear problems'', Studies in Appl. Math. '''53''' (1974), no. 4, 249-315.
+
M. Aassilla, ''Nonexistence de solutions globales de certains equations d'ondes nonlineaires'', C. R. Acad. Sci. Paris. '''334''' (2002), 961-966.
* [AbFs1983] M. Ablowitz, A. Fokas, ''The inverse scattering transform for the Benjamin-Ono equation, a pivot for multidimensional problems'', Stud. Appl. Math. '''68''' (1983), 1-10.
+
 
* [AbHab1975] M. Ablowitz, R. Haberman, ''Nonlinear evolution equations in two and three dimensions'', Phys. Rev. Lett. '''35''' (1975), 1185-1188.
+
=====AbdBnFelSau1989=====
* [AbMa.1981] M. Ablowitz, Y. Ma, The periodic nonlinear Schrodinger equation, Stud. Appl. Math. 65 (1981), 113-158.
+
L. Abdelouhab, J. Bona, M. Felland, J. Saut, ''Nonlocal models for nonlinear dispersive waves'', Phys. D '''40''' (1989), 360-392.
* [AbSe1977] M. Ablowitz, H. Segur, ''Asymptotic solutions of the Korteweg de Vries equation'', Stud. Appl. Math. '''57''' (1977), 13-44.
+
 
* [AdhAds1988] H. Added, S. Added, ''Equations of Langmuir turbulence and non-linear Schrodinger equation: Smoothness and approximations'', JFA '''79''' (1988), 183-210.
+
=====AbKauNeSe1974=====
* [AgYok1998] R. Agemi, K. Yokoyama, The null condition and global existence of solutions to systems of wave equations with different speeds, Adv. Nonlinear PDE and Stochastics (1998), 43-86.
+
M. Ablowitz, D. Kaup, A. Newell, H. Segur, ''The inverse scattering transform-Fourier analysis for nonlinear problems'', Studies in Appl. Math. '''53''' (1974), no. 4, 249-315.
* [AxPgSac1997] J.C. Alexander, R.L. Pego, R.L. Sachs, ''On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation'', Phys. Lett. A. '''226''' (1997), 187-192.
+
 
* [Al1995] S. Alinhac, ''Blowup for nonlinear hyperbolic equations'', Boston<nowiki>: Birkhauser, 1995, Progress in </nowiki>Nonlinear DE and their Applications, 17.
+
=====AbFs1983=====
* [Al1999] S. Alinhac, ''Blow up of small data solutions for a class of quasilinear wave equations in two space dimensions I'', Annals of Mathematics 149 (1999), 97-127.
+
M. Ablowitz, A. Fokas, ''The inverse scattering transform for the Benjamin-Ono equation, a pivot for multidimensional problems'', Stud. Appl. Math. '''68''' (1983), 1-10.
* [Al1999b] S. Alinhac, ''Blow up of small data solutions for a class of quasilinear wave equations in two space dimensions II,'' Acta Math. 182 (1999), 1-23.
+
 
* [Al2000] S. Alinhac, Rank 2 singular solutions for quasilinear wave equations, IMRN 18 (2000), 955-984.
+
=====AbHab1975=====
* [Al2001] S. Alinhac, ''The null condition for quasilinear wave equations in two space dimensions I'', Invent. Math. '''145''' (2001), 597-618.
+
M. Ablowitz, R. Haberman, ''Nonlinear evolution equations in two and three dimensions'', Phys. Rev. Lett. '''35''' (1975), 1185-1188.
* [Al2001b] S. Alinhac, ''The null condition for quasilinear wave equations in two space dimensions II, ''AJM '''123''' (2001), 1071-1101.
+
 
* [Al2003] S. Alinhac, An example of blowup at infinity for a quasilinear wave equation, Asterisque 284 (2003), 1-91.
+
=====AbMa.1981=====
* [AcIb2000] S. Anco, J. Isenberg, ''Global existence for wave maps with torsion'', CPDE '''25''' (2000), 1669-1702.
+
M. Ablowitz, Y. Ma, The periodic nonlinear Schrodinger equation, Stud. Appl. Math. 65 (1981), 113-158.
* [AnMc-p] L. Andersson, V. Moncrief, ''[http://www.arxiv.org/abs/gr-qc/0110111 Elliptic-Hyperbolic systems and the Einstein equations]'', preprint.
+
 
* [Ant2003] C. Antonini, Lower bounds for the L^2 minimal periodic blowup solutions of critical nonlinear Schrodinger equation, DIE 15 (2002), 749-768.
+
=====AbSe1977=====
* [AntMe2001] C. Antonini, F. Merle, ''Optimal bounds on positive blowup solutions for a semilinear wave equation'', IMRN '''21''' (2001), 1143-1167.
+
M. Ablowitz, H. Segur, ''Asymptotic solutions of the Korteweg de Vries equation'', Stud. Appl. Math. '''57''' (1977), 13-44.
* [ArYa2000] G. Artbazar, K. Yajima, ''The L^p continuity of wave operators for one dimensional Schrodinger operators'', J. Math. Sci. Univ. Tokyo '''7''' (2000), 221-240.
+
 
* [AsCoeWgg1996] J. M. Ash, J. Cohen, G. Wang, On strongly interacting internal solitary waves, J. Fourier Anal. Appl., '''2''' (1996), 507-517.
+
=====AdhAds1988=====
 +
H. Added, S. Added, ''Equations of Langmuir turbulence and non-linear Schrodinger equation: Smoothness and approximations'', JFA '''79''' (1988), 183-210.
 +
 
 +
=====AgYok1998=====
 +
R. Agemi, K. Yokoyama, The null condition and global existence of solutions to systems of wave equations with different speeds, Adv. Nonlinear PDE and Stochastics (1998), 43-86.
 +
 
 +
=====AxPgSac1997=====
 +
J.C. Alexander, R.L. Pego, R.L. Sachs, ''On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation'', Phys. Lett. A. '''226''' (1997), 187-192.
 +
 
 +
=====Al1995=====
 +
S. Alinhac, ''Blowup for nonlinear hyperbolic equations'', Boston<nowiki>: Birkhauser, 1995, Progress in </nowiki>Nonlinear DE and their Applications, 17.
 +
 
 +
=====Al1999=====
 +
S. Alinhac, ''Blow up of small data solutions for a class of quasilinear wave equations in two space dimensions I'', Annals of Mathematics 149 (1999), 97-127.
 +
 
 +
=====Al1999b=====
 +
S. Alinhac, ''Blow up of small data solutions for a class of quasilinear wave equations in two space dimensions II,'' Acta Math. 182 (1999), 1-23.
 +
 
 +
=====Al2000=====
 +
S. Alinhac, Rank 2 singular solutions for quasilinear wave equations, IMRN 18 (2000), 955-984.
 +
 
 +
=====Al2001=====
 +
S. Alinhac, ''The null condition for quasilinear wave equations in two space dimensions I'', Invent. Math. '''145''' (2001), 597-618.
 +
 
 +
=====Al2001b=====
 +
S. Alinhac, ''The null condition for quasilinear wave equations in two space dimensions II, ''AJM '''123''' (2001), 1071-1101.
 +
 
 +
=====Al2003=====
 +
S. Alinhac, An example of blowup at infinity for a quasilinear wave equation, Asterisque 284 (2003), 1-91.
 +
 
 +
=====AcIb2000=====
 +
S. Anco, J. Isenberg, ''Global existence for wave maps with torsion'', CPDE '''25''' (2000), 1669-1702.
 +
 
 +
=====AnMc-p=====
 +
L. Andersson, V. Moncrief, ''[http://www.arxiv.org/abs/gr-qc/0110111 Elliptic-Hyperbolic systems and the Einstein equations]'', preprint.
 +
 
 +
=====Ant2003=====
 +
C. Antonini, Lower bounds for the L^2 minimal periodic blowup solutions of critical nonlinear Schrodinger equation, DIE 15 (2002), 749-768.
 +
 
 +
=====AntMe2001=====
 +
C. Antonini, F. Merle, ''Optimal bounds on positive blowup solutions for a semilinear wave equation'', IMRN '''21''' (2001), 1143-1167.
 +
 
 +
=====ArYa2000=====
 +
G. Artbazar, K. Yajima, ''The L^p continuity of wave operators for one dimensional Schrodinger operators'', J. Math. Sci. Univ. Tokyo '''7''' (2000), 221-240.
 +
 
 +
=====AsCoeWgg1996=====
 +
J. M. Ash, J. Cohen, G. Wang, On strongly interacting internal solitary waves, J. Fourier Anal. Appl., '''2''' (1996), 507-517.
  
 
<center>B</center>
 
<center>B</center>
  
* [Bch1984] A. Bachelot, ''Probleme de Cauchy pour des systemes hyperboliques semilineaires'', Ann. IHP (Anal. nonlin), '''1''' (1984), 453-478.
+
 
* [BchNic1993] A. Bachelot, J-P. Nicolas, Equation non-lineaire de Klein-Gordon dans des metriquesde type Schwarzchild, C.R. Acad. Sci. Paris. 316 (1993), 1047-1050
+
=====Bch1984=====
* [BlChd1978] J. B. Baillon, J. M. Chadam, ''The Cauchy problem for the coupled Schrodinger-Klein-Gordon equations'', in "Contemporary Developments in Continuum Mechanics and Partial Differential Equations", G. M. de La Penha and L. A. Medeiros eds., North Holland, Amsterdam 1978
+
A. Bachelot, ''Probleme de Cauchy pour des systemes hyperboliques semilineaires'', Ann. IHP (Anal. nonlin), '''1''' (1984), 453-478.
* [BaeSgZz1990] J. Baez, I. Sega, Z. Zhou, ''The global Goursat problem and scattering for nonlinear wave equations'', J. Funct. Anal. '''93 '''(1990), 239-269.
+
 
* [BaCh1999] H. Bahouri, J-Y. Chemin, ''Équations d'ondes quasilinéaires et les inegalites de Strichartz'', Amer. J. Math.'''121''' (1999), 1337-1377.
+
=====BchNic1993=====
* [BaCh1999b] H. Bahouri, J-Y. Chemin, ''Équations d'ondes quasilinéaires et effet dispersif'', IMRN '''21''' (1999), 1141-1178.
+
A. Bachelot, J-P. Nicolas, Equation non-lineaire de Klein-Gordon dans des metriquesde type Schwarzchild, C.R. Acad. Sci. Paris. 316 (1993), 1047-1050
* [BaCh2002] H. Bahouri, J-Y. Chemin, ''[http://arXiv.org/abs/math.AP/0304390 Quasilinear Wave equations and Microlocal Analysis]'', ICM 2002, Vol III, 141-154.
+
 
* [BaCh-p] H. Bahouri, J-Y. Chemin, ''Microlocal analysis, bilinear estimates, and cubic quasilinear wave equation'', preprint.
+
=====BlChd1978=====
* [BaGd1997] H. Bahouri and P.Gerard, ''High frequency approximation of solutions to critical nonlinear wave equations'', Prepublications 97-34, Universite de Paris-Sud, Mai 1997. Appeared in: Amer. J. Math '''121''' (1999), 131-175.
+
J. B. Baillon, J. M. Chadam, ''The Cauchy problem for the coupled Schrodinger-Klein-Gordon equations'', in "Contemporary Developments in Continuum Mechanics and Partial Differential Equations", G. M. de La Penha and L. A. Medeiros eds., North Holland, Amsterdam 1978
* [BaGdXu2000] H. Bahouri, P. Gerard, C. Xu, ''Espaces de Besov et estimations de Strichartz generalisees sur le groupe de Heisenberg'', Journal d'Analyse Mathematique '''82''' (2000), 93-118.
+
 
* [BaSa1998] H. Bahouri and J.Shatah, ''Decay estimates for the critical semilinear wave equation'', Ann. Inst. H. Poincare Anal. Non Lineaire '''15''' (1998), no. 6, 783-789.
+
=====BaeSgZz1990=====
* [Ban-p] V. Banica, On the nonlinear Schrodinger dynamics on S^2, preprint.
+
J. Baez, I. Sega, Z. Zhou, ''The global Goursat problem and scattering for nonlinear wave equations'', J. Funct. Anal. '''93 '''(1990), 239-269.
* [Ban-p2] V. Banica, Dispersion and Strichartz inequalities for Schrodinger equations with singular coefficients, preprint.
+
 
* [Ban-p3] V. Banica, ''[http://www.arxiv.org/abs/math.AP/0401129 Remarks on the blowup for the nonlinear Schrodinger equation with critical mass on a plane domain]'', preprint.
+
=====BaCh1999=====
* [Bb1984] J.E. Barab, ''Nonexistence of asymptotically free solutions for a nonlinear Schrodinger equation'', J. Math. Phys. '''25''' (1984), 3270-3273.
+
H. Bahouri, J-Y. Chemin, ''Équations d'ondes quasilinéaires et les inegalites de Strichartz'', Amer. J. Math.'''121''' (1999), 1337-1377.
* [Be1983] M. Beals, ''Self-Spreading and strength of Singularities for solutions to semilinear wave equations'', Annals of Math '''118''' (1983), 187-214
+
 
* [BeBz1996] M. Beals, M. Bezard, ''Low regularity local solutions for field equations'', Comm. Partial Differential Equations'''21''' (1996), 79-124.
+
=====BaCh1999b=====
* [BecMauSb-p] P. Bechouce, N. Mauser, S. Selberg, ''[http://arXiv.org/abs/math.AP/0202201 Nonrelativistic limit of Klein-Gordon-Maxwell to Schrodinger Poisson]'', preprint
+
H. Bahouri, J-Y. Chemin, ''Équations d'ondes quasilinéaires et effet dispersif'', IMRN '''21''' (1999), 1141-1178.
* [BecMauSb-p2] P. Bechouce, N. Mauser, S. Selberg, ''[http://arXiv.org/abs/math.AP/0303079 On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit]'', preprint
+
 
* [BkOgPo1996] D. Bekiranov, T. Ogawa, G. Ponce, ''On the well-posedness of Benney's interaction equation of short and long waves'', Adv. Diff. Eq. '''1''' (1996), 919-937.
+
=====BaCh2002=====
* [BkOgPo1997] D. Bekiranov, T. Ogawa, G. Ponce, ''Weak solvability and well-posedness of the coupled Schrodinger Korteweg-de Vries equation in the capillary-gravity interaction waves'', Proc. Amer. Math. Soc. '''125''' (1997), 2907-2919.
+
H. Bahouri, J-Y. Chemin, ''[http://arXiv.org/abs/math.AP/0304390 Quasilinear Wave equations and Microlocal Analysis]'', ICM 2002, Vol III, 141-154.
* [BkOgPo1998] D. Bekiranov, T. Ogawa, G. Ponce, ''Interaction equations for short and long dispersive waves'', J. Funct. Anal. '''158''' (1998), 357-388.
+
 
* [BcKkZz1999] E. Belchev, M. Kepka, Z. Zhou, ''Global existence of solutions to nonlinear wave equations'', CPDE '''24 '''(1999), 2297-2331.
+
=====BaCh-p=====
* [BcKkZz2002] E. Belchev, M. Kepka, Z. Zhou, ''Finite time blowup of solutions to semilinear wave equations'', JFA '''190 '''(2002), 233-254.
+
H. Bahouri, J-Y. Chemin, ''Microlocal analysis, bilinear estimates, and cubic quasilinear wave equation'', preprint.
* [Bj1967] T. Benjamin, ''Internal waves of permanent form in fluids of great depth'', J. Fluid Mech. '''29''' (1967), 559-562.
+
 
* [Bj1972] T. Benjamin, ''The stability of solitary waves'', Proc. R. Soc. Lond. A. '''328''' (1972), 153-183.
+
=====BaGd1997=====
* [BjBnMah1972] T. Benjamin, J. Bona, J. Mahony, Model equations for long waves in nonlinear dispersive systems, Phil. Trans. R. Soc. London A 272 (1972), 47-78.
+
H. Bahouri and P.Gerard, ''High frequency approximation of solutions to critical nonlinear wave equations'', Prepublications 97-34, Universite de Paris-Sud, Mai 1997. Appeared in: Amer. J. Math '''121''' (1999), 131-175.
* [BenKl1992] M. Ben-Artzi, S. Klainerman, ''Decay and regularity for the Schrodinger equation'', J. Anal. Math. '''58''' (1992), 25-37.
+
 
* [BenSau1999] M. Ben-Artzi, J.C. Saut, ''Uniform decay estimates for a class of oscillatory integrals and applications'', Diff. Int. Eq. '''12''' (1999), 137-145.
+
=====BaGdXu2000=====
* [BenKocSau2003] M. Ben-Artzi, H. Koch, J.C. Saut, Dispersion estimates for third order equations in two dimensions, CPDE 28 (2003), 1943-1974.
+
H. Bahouri, P. Gerard, C. Xu, ''Espaces de Besov et estimations de Strichartz generalisees sur le groupe de Heisenberg'', Journal d'Analyse Mathematique '''82''' (2000), 93-118.
* [ByNe1967] D.J. Benney, A.C. Newell, ''The propagation of nonlinear wave envelopes'', J. Math. and Phys. '''46''' (1967), 133-139.
+
 
* [BerCa1981] H. Berestycki, T. Cazenave, ''Instabilité des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires'', C. R. Acad. Sc. Paris, t. 293 (1981), 489-492.
+
=====BaSa1998=====
* [BgCcMc1995] B.K. Berger, P. T. Chrusciel, V. Moncrief, ''On "asymptotically flat" spacetimes with G_2 invariant Cauchy surfaces'', Ann. Physics '''237''' (1995), 322-354.
+
H. Bahouri and J.Shatah, ''Decay estimates for the critical semilinear wave equation'', Ann. Inst. H. Poincare Anal. Non Lineaire '''15''' (1998), no. 6, 783-789.
 +
 
 +
=====Ban-p=====
 +
V. Banica, On the nonlinear Schrodinger dynamics on S^2, preprint.
 +
 
 +
=====Ban-p2=====
 +
V. Banica, Dispersion and Strichartz inequalities for Schrodinger equations with singular coefficients, preprint.
 +
 
 +
=====Ban-p3=====
 +
V. Banica, ''[http://www.arxiv.org/abs/math.AP/0401129 Remarks on the blowup for the nonlinear Schrodinger equation with critical mass on a plane domain]'', preprint.
 +
 
 +
=====Bb1984=====
 +
J.E. Barab, ''Nonexistence of asymptotically free solutions for a nonlinear Schrodinger equation'', J. Math. Phys. '''25''' (1984), 3270-3273.
 +
 
 +
=====Be1983=====
 +
M. Beals, ''Self-Spreading and strength of Singularities for solutions to semilinear wave equations'', Annals of Math '''118''' (1983), 187-214
 +
 
 +
=====BeBz1996=====
 +
M. Beals, M. Bezard, ''Low regularity local solutions for field equations'', Comm. Partial Differential Equations'''21''' (1996), 79-124.
 +
 
 +
=====BecMauSb-p=====
 +
P. Bechouce, N. Mauser, S. Selberg, ''[http://arXiv.org/abs/math.AP/0202201 Nonrelativistic limit of Klein-Gordon-Maxwell to Schrodinger Poisson]'', preprint
 +
 
 +
=====BecMauSb-p2=====
 +
P. Bechouce, N. Mauser, S. Selberg, ''[http://arXiv.org/abs/math.AP/0303079 On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit]'', preprint
 +
 
 +
=====BkOgPo1996=====
 +
D. Bekiranov, T. Ogawa, G. Ponce, ''On the well-posedness of Benney's interaction equation of short and long waves'', Adv. Diff. Eq. '''1''' (1996), 919-937.
 +
 
 +
=====BkOgPo1997=====
 +
D. Bekiranov, T. Ogawa, G. Ponce, ''Weak solvability and well-posedness of the coupled Schrodinger Korteweg-de Vries equation in the capillary-gravity interaction waves'', Proc. Amer. Math. Soc. '''125''' (1997), 2907-2919.
 +
 
 +
=====BkOgPo1998=====
 +
D. Bekiranov, T. Ogawa, G. Ponce, ''Interaction equations for short and long dispersive waves'', J. Funct. Anal. '''158''' (1998), 357-388.
 +
 
 +
=====BcKkZz1999=====
 +
E. Belchev, M. Kepka, Z. Zhou, ''Global existence of solutions to nonlinear wave equations'', CPDE '''24 '''(1999), 2297-2331.
 +
 
 +
=====BcKkZz2002=====
 +
E. Belchev, M. Kepka, Z. Zhou, ''Finite time blowup of solutions to semilinear wave equations'', JFA '''190 '''(2002), 233-254.
 +
 
 +
=====Bj1967=====
 +
T. Benjamin, ''Internal waves of permanent form in fluids of great depth'', J. Fluid Mech. '''29''' (1967), 559-562.
 +
 
 +
=====Bj1972=====
 +
T. Benjamin, ''The stability of solitary waves'', Proc. R. Soc. Lond. A. '''328''' (1972), 153-183.
 +
 
 +
=====BjBnMah1972=====
 +
T. Benjamin, J. Bona, J. Mahony, Model equations for long waves in nonlinear dispersive systems, Phil. Trans. R. Soc. London A 272 (1972), 47-78.
 +
 
 +
=====BenKl1992=====
 +
M. Ben-Artzi, S. Klainerman, ''Decay and regularity for the Schrodinger equation'', J. Anal. Math. '''58''' (1992), 25-37.
 +
 
 +
=====BenSau1999=====
 +
M. Ben-Artzi, J.C. Saut, ''Uniform decay estimates for a class of oscillatory integrals and applications'', Diff. Int. Eq. '''12''' (1999), 137-145.
 +
 
 +
=====BenKocSau2003=====
 +
M. Ben-Artzi, H. Koch, J.C. Saut, Dispersion estimates for third order equations in two dimensions, CPDE 28 (2003), 1943-1974.
 +
 
 +
=====ByNe1967=====
 +
D.J. Benney, A.C. Newell, ''The propagation of nonlinear wave envelopes'', J. Math. and Phys. '''46''' (1967), 133-139.
 +
 
 +
=====BerCa1981=====
 +
H. Berestycki, T. Cazenave, ''Instabilité des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires'', C. R. Acad. Sc. Paris, t. 293 (1981), 489-492.
 +
 
 +
=====BgCcMc1995=====
 +
B.K. Berger, P. T. Chrusciel, V. Moncrief, ''On "asymptotically flat" spacetimes with G_2 invariant Cauchy surfaces'', Ann. Physics '''237''' (1995), 322-354.
 
* [[linares.ps BiLi-p]] H. Biagioni, F. Linares, ''[linares.ps Ill-posedness for the Derivative Schrodinger and Generalized Benjamin-Ono equations]'', preprint.
 
* [[linares.ps BiLi-p]] H. Biagioni, F. Linares, ''[linares.ps Ill-posedness for the Derivative Schrodinger and Generalized Benjamin-Ono equations]'', preprint.
* [BirPoVe-p] B. Birnir, G. Ponce, L. Vega, On the ill-posedness for the initial value problem for the modified Korteweg-de Vries equation, preprint.
+
 
* [BirKnPoSvVe1996] B. Birnir, C. Kenig, G. Ponce, N. Svanstedt, L. Vega, ''On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations''. J. London Math. Soc. (2) '''53''' (1996), 551-559.
+
=====BirPoVe-p=====
* [Biz2000] P. Bizon, ''Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere.'' Comm. Math. Phys. '''215''' (2000), 45-56.
+
B. Birnir, G. Ponce, L. Vega, On the ill-posedness for the initial value problem for the modified Korteweg-de Vries equation, preprint.
* [Biz-p] P. Bizon, ''[http://arXiv.org/abs/math-ph/0206004 Formation of singularities in Yang-Mills equations]'', preprint
+
 
* [BizCjTb2001] P. Bizon, T. Chmaj, Z. Tabor, ''[http://arxiv.org/abs/math-ph/0011005 Formation of singularities for equivariant 2+1 dimensional wave maps into two-sphere]'', Nonlinearity '''14''' (2001), no. 5, 1041-1053.
+
=====BirKnPoSvVe1996=====
* [BizOvSi-p] P. Bizon, Y. Ovchinnikov, I. Sigal, ''[http://arxiv.org/abs/math.AP/0307026 Collapse of an Instanton]'', preprint.
+
B. Birnir, C. Kenig, G. Ponce, N. Svanstedt, L. Vega, ''On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations''. J. London Math. Soc. (2) '''53''' (1996), 551-559.
* [BizTb2001] P. Bizon, Z. Tabor, ''[http://arxiv.org/abs/math-ph/0105016 On blowup for Yang-Mills fields]'', Phys. Rev. D (3) '''64''' (2001), 121701.
+
 
* [BluSf2003] P. Blue, A. Soffer, Semilinear wave equations on the Schwarzschild manifold I.Local decay estimates, Adv. Diff Eq. 8 (2003), 595-614.
+
=====Biz2000=====
* [Bn1975] J. Bona, ''On the stability theory of solitary waves'', Proc. R. Soc. Lond. A. '''344''' (1975), 363-374.
+
P. Bizon, ''Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere.'' Comm. Math. Phys. '''215''' (2000), 45-56.
* [BnDgKar1986] J. Bona, V.A. Dougalis, O.A. Karakashian, ''Fully discrete Galerkin methods for the Korteweg-de Vries equation'', Comput. Math. Appl. Ser. A '''12''' (1986), 859-884.
+
 
* [BnLiu2002] J. Bona, Y. Liu, ''Instability of solitary-wave solutions of the Kadomtsev-Petviashvili equation in three dimensions'', ADE '''7''' (2002), 1-33.
+
=====Biz-p=====
* [BnPoSauTm1992] J. Bona, G. Ponce, J-C. Saut, M. Tom, ''A model system for strong interaction between internal solitary waves'', CMP '''143''' (1992), 287-313.
+
P. Bizon, ''[http://arXiv.org/abs/math-ph/0206004 Formation of singularities in Yang-Mills equations]'', preprint
* [BnSco1976] J. Bona, R. Scott, ''Solutions of the Korteweg-de Vries equation, in fractional order Sobolev spaces'', Duke Math J. '''43''' (1976), 87-99.
+
 
* [BnSmr1975] J. Bona, R. Smith, ''The initial-value problem for the Korteweg-de Vries equation'', Philos. Trans. Royal Soc. London Series A 278 (1975), 555-601.
+
=====BizCjTb2001=====
* [BnSouSr1987] J. Bona, P.E. Sougandis, W. Strauss, ''Stability and instability of solitary waves of Korteweg-de Vries type'', Proc. R. Soc. Lond. '''411''' (1987), 395-412.
+
P. Bizon, T. Chmaj, Z. Tabor, ''[http://arxiv.org/abs/math-ph/0011005 Formation of singularities for equivariant 2+1 dimensional wave maps into two-sphere]'', Nonlinearity '''14''' (2001), no. 5, 1041-1053.
* [BnSuZh-p] J. Bona, S. Sun, B-Y. Zhang, ''A non-homogeneous boundary-value problem for the Korteweg-de Vries Equation in a Quarter Plane'', preprint
+
 
* [BnWi1983] J. Bona, R. Winther, ''The Korteweg-de Vries equation, posed in a quarter plane'', SIAM J. Math. Anal. '''14''' (1983), 1056-1106.
+
=====BizOvSi-p=====
* [BnWe-p] J. Bona, F. B. Weissler, ''Similarity solutions of the generalized Korteweg-de Vries equations'', preprint.
+
P. Bizon, Y. Ovchinnikov, I. Sigal, ''[http://arxiv.org/abs/math.AP/0307026 Collapse of an Instanton]'', preprint.
* [Bd1993] A. de Bouard, Analytic solutions to nonelliptic nonlinear Schrodinger equations, JDE 104 (1993), 196-213.
+
 
* [BdDbTs1999] A. de Bouard, A. Debussche, Y. Tsutsumi, ''[http://www.ams.org/mathscinet?screen=leavingmsn&publ=Academic%20Press&url=http://www.idealibrary.com/cgi%2Dbin/links/citation/0022%2D1236/169/532&back_url=msnmain%3Fpg3=ICN%26s3=Tsutsumi%26co3=AND%26pg4=TI%26s4=%26co4=AND%26pg5=CC%26s5=%26co5=A%20 White noise driven Korteweg-de Vries equation.]'' J. Funct. Anal. '''169''' (1999), no. 2, 532-558
+
=====BizTb2001=====
* [BdSau1997] A. de Bouard, J.C. Saut, ''Solitary waves of generalized Kadomtsev-Petviashvili equations'', Annales IHP, Analyse non-lineaire '''14''' (1997) 211-236.
+
P. Bizon, Z. Tabor, ''[http://arxiv.org/abs/math-ph/0105016 On blowup for Yang-Mills fields]'', Phys. Rev. D (3) '''64''' (2001), 121701.
* [BdHaSau1997] A. de Bouard, N. Hayashi, J.C. Saut, Global existence of small solutions to a nonlinear relativistic Schrodinger equation, CMP 189 (1997), 73-105.
+
 
* [BdMt2004] A. de Bouard, Y. Martel, Nonexistence of L^2-compact solutions of the Kadomptsev-Petviashvili II equation, Math. Ann. 328 (2004), 525—554.
+
=====BluSf2003=====
* [BctGolPal-p] F. Bouchut, F. Golse, C. Pallard, ''[http://front.math.ucdavis.edu/math.AP/0301175 On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss's theorem revisited]'', preprint.
+
P. Blue, A. Soffer, Semilinear wave equations on the Schwarzschild manifold I.Local decay estimates, Adv. Diff Eq. 8 (2003), 595-614.
* [Bo1992] J. Bourgain, ''A remark on Schrodinger operators'', Israel J. Math. '''77''' (1992), 1-16.
+
 
* [Bo1993] J. Bourgain, ''Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I. Schrodinger equations,'' [http://link.springer.de/link/service/journals/00039/index.htm Geom. Funct. Anal.] '''3''' (1993) 107-156.
+
=====Bn1975=====
* [Bo1993b] J. Bourgain, ''Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations II. The periodic KdV equation,'' [http://link.springer.de/link/service/journals/00039/index.htm Geom. Funct. Anal.] '''3''' (1993) 209-262.
+
J. Bona, ''On the stability theory of solitary waves'', Proc. R. Soc. Lond. A. '''344''' (1975), 363-374.
* [Bo1993c] J. Bourgain, ''On the Cauchy problem for the Kadomtsev-Petviashvili equation'', [http://link.springer.de/link/service/journals/00039/index.htm Geom. Funct. Anal.] '''3''' (1993) 315-341.
+
 
* [Bo1993d] J. Bourgain, ''Exponential sums and nonlinear Schrodinger equations'', [http://link.springer.de/link/service/journals/00039/index.htm Geom. Funct. Anal.] '''3''' (1993) 157-178.
+
=====BnDgKar1986=====
* [Bo1994] J. Bourgain, ''On the Cauchy and invariant measure problem for the periodic Zakharov system'', Duke Math. J. '''76''' (1994), 175-202.
+
J. Bona, V.A. Dougalis, O.A. Karakashian, ''Fully discrete Galerkin methods for the Korteweg-de Vries equation'', Comput. Math. Appl. Ser. A '''12''' (1986), 859-884.
* [Bo1994b] J. Bourgain, ''Harmonic analysis and nonlinear partial differential equations'', Proceedings of the ICM 1994, 31-44, Birkhauser Basel, 1995.
+
 
* [Bo1994c] J. Bourgain, ''Periodic nonlinear Schrodinger equation and invariant measures'', CMP '''166''' (1994), 1-26.
+
=====BnLiu2002=====
* [Bo1995] J. Bourgain, ''Estimates for cone multipliers'', Operator Theory: Advances and Applications, '''77''' (1995), 41-60.
+
J. Bona, Y. Liu, ''Instability of solitary-wave solutions of the Kadomtsev-Petviashvili equation in three dimensions'', ADE '''7''' (2002), 1-33.
* [Bo1995b] J. Bourgain, ''Aspects of longtime behaviour of solutions of nonlinear Hamiltonian evolution equations'', GAFA ''5'' (1995), 105-140.
+
 
* [Bo1995c] J. Bourgain, ''Periodic nonlinear Schrodinger equations and invariant measures'', CMP '''166''' (1995), 1-26.
+
=====BnPoSauTm1992=====
* [Bo1996] J. Bourgain, ''On well-posedness of the Zakharov system'', [http://www.imrn.org Int. Math. Research Notices] '''11''' (1996), 515-546.
+
J. Bona, G. Ponce, J-C. Saut, M. Tom, ''A model system for strong interaction between internal solitary waves'', CMP '''143''' (1992), 287-313.
* [Bo1996b] J. Bourgain, ''Invariant measures for the 2d-defocussing nonlinear Schrodinger equation'', Comm. Math. Phys. '''176''' (1996), 421-445.
+
 
* [Bo1996c] J. Bourgain, ''On the growth in time of higher order Sobolev norms of smooth solutions of Hamiltonian PDE'', IMRN '''6''' (1996), 277-304.
+
=====BnSco1976=====
 +
J. Bona, R. Scott, ''Solutions of the Korteweg-de Vries equation, in fractional order Sobolev spaces'', Duke Math J. '''43''' (1976), 87-99.
 +
 
 +
=====BnSmr1975=====
 +
J. Bona, R. Smith, ''The initial-value problem for the Korteweg-de Vries equation'', Philos. Trans. Royal Soc. London Series A 278 (1975), 555-601.
 +
 
 +
=====BnSouSr1987=====
 +
J. Bona, P.E. Sougandis, W. Strauss, ''Stability and instability of solitary waves of Korteweg-de Vries type'', Proc. R. Soc. Lond. '''411''' (1987), 395-412.
 +
 
 +
=====BnSuZh-p=====
 +
J. Bona, S. Sun, B-Y. Zhang, ''A non-homogeneous boundary-value problem for the Korteweg-de Vries Equation in a Quarter Plane'', preprint
 +
 
 +
=====BnWi1983=====
 +
J. Bona, R. Winther, ''The Korteweg-de Vries equation, posed in a quarter plane'', SIAM J. Math. Anal. '''14''' (1983), 1056-1106.
 +
 
 +
=====BnWe-p=====
 +
J. Bona, F. B. Weissler, ''Similarity solutions of the generalized Korteweg-de Vries equations'', preprint.
 +
 
 +
=====Bd1993=====
 +
A. de Bouard, Analytic solutions to nonelliptic nonlinear Schrodinger equations, JDE 104 (1993), 196-213.
 +
 
 +
=====BdDbTs1999=====
 +
A. de Bouard, A. Debussche, Y. Tsutsumi, ''[http://www.ams.org/mathscinet?screen=leavingmsn&publ=Academic%20Press&url=http://www.idealibrary.com/cgi%2Dbin/links/citation/0022%2D1236/169/532&back_url=msnmain%3Fpg3=ICN%26s3=Tsutsumi%26co3=AND%26pg4=TI%26s4=%26co4=AND%26pg5=CC%26s5=%26co5=A%20 White noise driven Korteweg-de Vries equation.]'' J. Funct. Anal. '''169''' (1999), no. 2, 532-558
 +
 
 +
=====BdSau1997=====
 +
A. de Bouard, J.C. Saut, ''Solitary waves of generalized Kadomtsev-Petviashvili equations'', Annales IHP, Analyse non-lineaire '''14''' (1997) 211-236.
 +
 
 +
=====BdHaSau1997=====
 +
A. de Bouard, N. Hayashi, J.C. Saut, Global existence of small solutions to a nonlinear relativistic Schrodinger equation, CMP 189 (1997), 73-105.
 +
 
 +
=====BdMt2004=====
 +
A. de Bouard, Y. Martel, Nonexistence of L^2-compact solutions of the Kadomptsev-Petviashvili II equation, Math. Ann. 328 (2004), 525\u2014554.
 +
 
 +
=====BctGolPal-p=====
 +
F. Bouchut, F. Golse, C. Pallard, ''[http://front.math.ucdavis.edu/math.AP/0301175 On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss's theorem revisited]'', preprint.
 +
 
 +
=====Bo1992=====
 +
J. Bourgain, ''A remark on Schrodinger operators'', Israel J. Math. '''77''' (1992), 1-16.
 +
 
 +
=====Bo1993=====
 +
J. Bourgain, ''Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I. Schrodinger equations,'' [http://link.springer.de/link/service/journals/00039/index.htm Geom. Funct. Anal.] '''3''' (1993) 107-156.
 +
 
 +
=====Bo1993b=====
 +
J. Bourgain, ''Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations II. The periodic KdV equation,'' [http://link.springer.de/link/service/journals/00039/index.htm Geom. Funct. Anal.] '''3''' (1993) 209-262.
 +
 
 +
=====Bo1993c=====
 +
J. Bourgain, ''On the Cauchy problem for the Kadomtsev-Petviashvili equation'', [http://link.springer.de/link/service/journals/00039/index.htm Geom. Funct. Anal.] '''3''' (1993) 315-341.
 +
 
 +
=====Bo1993d=====
 +
J. Bourgain, ''Exponential sums and nonlinear Schrodinger equations'', [http://link.springer.de/link/service/journals/00039/index.htm Geom. Funct. Anal.] '''3''' (1993) 157-178.
 +
 
 +
=====Bo1994=====
 +
J. Bourgain, ''On the Cauchy and invariant measure problem for the periodic Zakharov system'', Duke Math. J. '''76''' (1994), 175-202.
 +
 
 +
=====Bo1994b=====
 +
J. Bourgain, ''Harmonic analysis and nonlinear partial differential equations'', Proceedings of the ICM 1994, 31-44, Birkhauser Basel, 1995.
 +
 
 +
=====Bo1994c=====
 +
J. Bourgain, ''Periodic nonlinear Schrodinger equation and invariant measures'', CMP '''166''' (1994), 1-26.
 +
 
 +
=====Bo1995=====
 +
J. Bourgain, ''Estimates for cone multipliers'', Operator Theory: Advances and Applications, '''77''' (1995), 41-60.
 +
 
 +
=====Bo1995b=====
 +
J. Bourgain, ''Aspects of longtime behaviour of solutions of nonlinear Hamiltonian evolution equations'', GAFA ''5'' (1995), 105-140.
 +
 
 +
=====Bo1995c=====
 +
J. Bourgain, ''Periodic nonlinear Schrodinger equations and invariant measures'', CMP '''166''' (1995), 1-26.
 +
 
 +
=====Bo1996=====
 +
J. Bourgain, ''On well-posedness of the Zakharov system'', [http://www.imrn.org Int. Math. Research Notices] '''11''' (1996), 515-546.
 +
 
 +
=====Bo1996b=====
 +
J. Bourgain, ''Invariant measures for the 2d-defocussing nonlinear Schrodinger equation'', Comm. Math. Phys. '''176''' (1996), 421-445.
 +
 
 +
=====Bo1996c=====
 +
J. Bourgain, ''On the growth in time of higher order Sobolev norms of smooth solutions of Hamiltonian PDE'', IMRN '''6''' (1996), 277-304.
 
* [[kdv_measures.pdf Bo1997]] J. Bourgain, ''[kdv_measures.pdf Periodic Korteweg de Vries equation with measures as initial data]'', Selecta Math. (N.S.) '''3''' (1997), 115-159.
 
* [[kdv_measures.pdf Bo1997]] J. Bourgain, ''[kdv_measures.pdf Periodic Korteweg de Vries equation with measures as initial data]'', Selecta Math. (N.S.) '''3''' (1997), 115-159.
* [Bo1997b] J. Bourgain, ''On the compactness of support of solutions of dispersive equations'', [http://www.imrn.org Int. Math. Research Notices] '''9''' (1997), 437-447.
+
 
* [Bo1998] J. Bourgain, ''Refinements of Strichartz' inequality and applications to 2D-NLS with critical non-linearity'', [http://www.imrn.org Int. Math. Research Notices], '''5''' (1998), 253-283.
+
=====Bo1997b=====
* [Bo1998b] J. Bourgain, ''Scattering in the energy space and below for 3D NLS'', J. Anal. Math. '''75''' (1998), 267-297.
+
J. Bourgain, ''On the compactness of support of solutions of dispersive equations'', [http://www.imrn.org Int. Math. Research Notices] '''9''' (1997), 437-447.
 +
 
 +
=====Bo1998=====
 +
J. Bourgain, ''Refinements of Strichartz' inequality and applications to 2D-NLS with critical non-linearity'', [http://www.imrn.org Int. Math. Research Notices], '''5''' (1998), 253-283.
 +
 
 +
=====Bo1998b=====
 +
J. Bourgain, ''Scattering in the energy space and below for 3D NLS'', J. Anal. Math. '''75''' (1998), 267-297.
 
* [[http://www.math.ucla.edu/~tao/bourgain/borg_nls.dvi Bo1999]] J. Bourgain, ''[http://www.math.ucla.edu/~tao/bourgain/borg_nls.dvi New global well-posedness results for non-linear Schrodinger equations]'', AMS 1999.
 
* [[http://www.math.ucla.edu/~tao/bourgain/borg_nls.dvi Bo1999]] J. Bourgain, ''[http://www.math.ucla.edu/~tao/bourgain/borg_nls.dvi New global well-posedness results for non-linear Schrodinger equations]'', AMS 1999.
* [Bo1999b] J. Bourgain, ''Global well-posedness of defocussing 3D critical NLS in the radial case'', J. Amer. Math. Soc. '''12''' (1999), 145-171.
+
 
* [Bo-p] J. Bourgain, Remarks on stability and diffusion in high-dimensional Hamiltonian systems and PDE, preprint.
+
=====Bo1999b=====
* [Bo-p2] J. Bourgain, A remark on normal forms and the I-method for periodic NLS, preprint.
+
J. Bourgain, ''Global well-posedness of defocussing 3D critical NLS in the radial case'', J. Amer. Math. Soc. '''12''' (1999), 145-171.
* [Bo-p3] J. Bourgain, On the Cauchy problem for periodic KdV type equations, preprint.
+
 
* [BoCo1996] J. Bourgain, J. Colliander, ''On the well-posedness of the Zakharov system'', IMRN '''11''' (1996), 515-546.
+
=====Bo-p=====
* [BoWg1997] J. Bourgain, W. Wang, ''Construction of blowup solutions for the nonlinear Schrodinger equation with critical non-linearity,'' Dedicated to Ennio De Giorgi. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) '''25''' (1997), no. 1-2, 197-215.
+
J. Bourgain, Remarks on stability and diffusion in high-dimensional Hamiltonian systems and PDE, preprint.
* [Bou1996] N. Bournaveas, ''Local existence for the Maxwell-Dirac equations in three space dimensions''. Comm. Partial Differential Equations '''21''' (1996) 693-720.
+
 
* [Bou1999] N. Bournaveas, ''Local existence of energy class solutions for the Dirac-Klein-Gordon equations''. Comm. Partial Differential Equations '''24''' (1999), 1167-1193.
+
=====Bo-p2=====
* [Bou2000] N. Bournaveas, ''A new proof of global existence for the Dirac Klein-Gordon equations in one space dimension''. J. Funct. Anal. '''173''' (2000), 203-213.
+
J. Bourgain, A remark on normal forms and the I-method for periodic NLS, preprint.
* [Bou2001] N. Bournaveas, ''Low regularity solutions of the Dirac Klein-Gordon equations in two space dimensions''. Comm. Partial Differential Equations '''26''' (2001), 1345-1366.
+
 
* [BdmFsShp-p] A. Boutet de Monvel, A. Fokas, ''The mKdV equation on a half-line'', preprint.
+
=====Bo-p3=====
* [BdmShp-p] A. Boutet de Monvel, D. Shepelsky, ''[http://arxiv.org/abs/math.AP/0307194 The mKdV equation on an interval]'', preprint.
+
J. Bourgain, On the Cauchy problem for periodic KdV type equations, preprint.
* [BrlForMai1994] P. Breitenlohner, P. Forgacs, D. Maison, ''Static spherically symmetric solutions of the Einstein-Yang-Mills equations. ''Comm. Math. Phys. '''163''' (1994), no. 1, 141-172.
+
 
* [Br1975] P. Brenner, ''On L^p - L^{p'} estimates for the wave equation'', Math Z. '''145''' (1975) 251-254.
+
=====BoCo1996=====
* [Br1984] P. Brenner, ''On spacetime means and everywhere defined scattering operators'', Math. Z. '''186''' (1984), 383-391.
+
J. Bourgain, J. Colliander, ''On the well-posedness of the Zakharov system'', IMRN '''11''' (1996), 515-546.
* [Br1985] P. Brenner, ''On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations'', JDE '''56''' (1985), 310-344.
+
 
* [BrKum2000] P. Brenner, P. Kumlin, ''On wave equations with supercritical nonlinearities'', Arch. Math. '''74''' (2000), 129-147.
+
=====BoWg1997=====
* [BrzGa1980] H. Brezis, T. Gallouet, ''Nonlinear Schrodinger evolution equations'', Nonlinear Analysis Theory, Methods, and Applications '''4''' (1980), 677-681.
+
J. Bourgain, W. Wang, ''Construction of blowup solutions for the nonlinear Schrodinger equation with critical non-linearity,'' Dedicated to Ennio De Giorgi. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) '''25''' (1997), no. 1-2, 197-215.
* [Bs1967] A.R. Brodsky, ''On the asymptotic behaviour of solutions of the wave equation'', Proc. Amer. Math. Soc. '''18''' (1967), 207-208.
+
 
* [BroJer2000] J. Bronski, R. Jerrard, ''Soliton dynamics in a potential'', Math Res. Lett. '''7''' (2000), 329-342.
+
=====Bou1996=====
* [Bu.1992] C. Bu, ''On the Well-Posedness of the forced nonlinear Schrodinger Equation'', Appl. Anal. '''46''' (1992), 219-239.
+
N. Bournaveas, ''Local existence for the Maxwell-Dirac equations in three space dimensions''. Comm. Partial Differential Equations '''21''' (1996) 693-720.
* [Bu.2000] C. Bu, ''Nonlinear Schrodinger Equation on the Semi-infinite Line'', Chinese J. Contem. Math. '''21''' (2000), 209-222
+
 
* [Bu.Sr2001] C. Bu, W. Strauss, ''An inhomogeneous Boundary Value Problem for Nonlinear Schrodinger Equations'', JDE '''173''' (2001), 79-91.
+
=====Bou1999=====
* [Bub1980] B. Bubnov, ''On the Cauchy problem for the Korteweg de Vries equation'', Soviet Math. Dokl. '''21''' (1980), 502-505.
+
N. Bournaveas, ''Local existence of energy class solutions for the Dirac-Klein-Gordon equations''. Comm. Partial Differential Equations '''24''' (1999), 1167-1193.
* [Bu1998] N. Burq, Decroissance de l'energie locale de l'equation des ondes pour les probleme exterieur et absece de resonance au voisinage du reel, Acta Math. '''180''' (1998), 1-29.
+
 
* [Bu1993] N. Burq, ''Controle l'equation des plaques en presence d'obstacles strictement convexes'', Memorie de la SMF '''55''' (1993), Suppl. au Belletin de la Societe Mathematique de France.
+
=====Bou2000=====
* [Bu-p] N. Burq, ''[http://arxiv.org/abs/math.AP/0210277 Global Strichartz estimates for nontrapping geometries: A remark about an article by H. Smith and C. Sogge]'', preprint.
+
N. Bournaveas, ''A new proof of global existence for the Dirac Klein-Gordon equations in one space dimension''. J. Funct. Anal. '''173''' (2000), 203-213.
* [Bu-p2] N. Burq, ''[http://arxiv.org/abs/math.AP/0210279 Smoothing effect for Schrodinger boundary value problems]'', preprint.
+
 
* [Bu-p3] N. Burq, Estimations de Strichartz pour des perturbations a longe portee de l’operateur de Schrodinger, preprint.
+
=====Bou2001=====
* [BuGdTz-p] N. Burq, P. Gerard, N. Tzvetkov, ''Two singular dynamics of the nonlinear Schrodinger equation on a plane domain'', preprint.
+
N. Bournaveas, ''Low regularity solutions of the Dirac Klein-Gordon equations in two space dimensions''. Comm. Partial Differential Equations '''26''' (2001), 1345-1366.
* [BuGdTz2002] N. Burq, P. Gerard, N. Tzvetkov, ''An instability property of the nonlinear Schrodinger equation on S^d'', MRL 9 (2002), 323-335.
+
 
* [BuGdTz-p3] N. Burq, P. Gerard, N. Tzvetkov, ''Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds'', preprint.
+
=====BdmFsShp-p=====
* [BuGdTz-p4] N. Burq, P. Gerard, N. Tzvetkov, ''On nonlinear Schrodinger equations in exterior domains'', preprint.
+
A. Boutet de Monvel, A. Fokas, ''The mKdV equation on a half-line'', preprint.
* [BuGdTz2003] N. Burq, P. Gerard, N. Tzvetkov, ''The Cauchy problem for the nonlinear Schrodinger equation on a compact manifold'', Proc. Oresund Symposium on PDE, Lund, May 2002, J. Nonlinear Math. Phys. 10 suppl 1. (2003), 1-16.
+
 
* <font color="black"><font color="windowtext">[BuGdTz-p6] N. Burq, P. Gerard, N. Tzvetkov, ''An example of singular dynamics for the nonlinear Schrodinger equation on bounded domains, Proc. conference on hyperbolic PDE and related topics, Cortona September 2002'', preprint.</font></font>
+
=====BdmShp-p=====
* <font color="black"><font color="windowtext">[BuGdTz-p7] N. Burq, P. Gerard, N. Tzvetkov, ''[http://arxiv.org/abs/math.AP/0308214 Bilinear Eigenfunction Estimates and the Nonlinear Schroedinger Equation on Surfaces]'', preprint.</font></font>
+
A. Boutet de Monvel, D. Shepelsky, ''[http://arxiv.org/abs/math.AP/0307194 The mKdV equation on an interval]'', preprint.
* [BuPlStaTv-p] <font color="black">N. Burq</font><font color="black">, F. Planchon, J. Stalker, A. Shadi Tahvidar-Zadeh, Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential, preprint.</font>
+
 
* [BuPlStaTv-p2]<font color="black"> N. Burq, F. Planchon, J. Stalker, A. Shadi Tahvidar-Zadeh, ''[http://arxiv.org/abs/math/0401019 Strichartz estimates for the Wave and Schrodinger Equations with potentials of critical decay]'', preprint.</font>
+
=====BrlForMai1994=====
* [BusPer1993] V. Buslaev, G. Perelman, Scattering for the nonlinear Schrodinger equations: states close to a solitary wave, St. Petersburg Math J. 4 (1993), 1111-1142.
+
P. Breitenlohner, P. Forgacs, D. Maison, ''Static spherically symmetric solutions of the Einstein-Yang-Mills equations. ''Comm. Math. Phys. '''163''' (1994), no. 1, 141-172.
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+
 
* [BusSuc2003] V. Buslaev, C. Sulem, On asymptotic stability of solitary waves for nonlinear Schrodinger equations, Ann. Inst. H. Poincare Anal. Nonlineaire 20 (2003) 3, 419-475.
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P. Brenner, ''On L^p - L^{p'} estimates for the wave equation'', Math Z. '''145''' (1975) 251-254.
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P. Brenner, ''On spacetime means and everywhere defined scattering operators'', Math. Z. '''186''' (1984), 383-391.
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P. Brenner, ''On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations'', JDE '''56''' (1985), 310-344.
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P. Brenner, P. Kumlin, ''On wave equations with supercritical nonlinearities'', Arch. Math. '''74''' (2000), 129-147.
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H. Brezis, T. Gallouet, ''Nonlinear Schrodinger evolution equations'', Nonlinear Analysis Theory, Methods, and Applications '''4''' (1980), 677-681.
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A.R. Brodsky, ''On the asymptotic behaviour of solutions of the wave equation'', Proc. Amer. Math. Soc. '''18''' (1967), 207-208.
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J. Bronski, R. Jerrard, ''Soliton dynamics in a potential'', Math Res. Lett. '''7''' (2000), 329-342.
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C. Bu, ''On the Well-Posedness of the forced nonlinear Schrodinger Equation'', Appl. Anal. '''46''' (1992), 219-239.
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C. Bu, ''Nonlinear Schrodinger Equation on the Semi-infinite Line'', Chinese J. Contem. Math. '''21''' (2000), 209-222
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C. Bu, W. Strauss, ''An inhomogeneous Boundary Value Problem for Nonlinear Schrodinger Equations'', JDE '''173''' (2001), 79-91.
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B. Bubnov, ''On the Cauchy problem for the Korteweg de Vries equation'', Soviet Math. Dokl. '''21''' (1980), 502-505.
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N. Burq, Decroissance de l'energie locale de l'equation des ondes pour les probleme exterieur et absece de resonance au voisinage du reel, Acta Math. '''180''' (1998), 1-29.
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N. Burq, ''Controle l'equation des plaques en presence d'obstacles strictement convexes'', Memorie de la SMF '''55''' (1993), Suppl. au Belletin de la Societe Mathematique de France.
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 +
=====Bu-p=====
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N. Burq, ''[http://arxiv.org/abs/math.AP/0210277 Global Strichartz estimates for nontrapping geometries: A remark about an article by H. Smith and C. Sogge]'', preprint.
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=====Bu-p2=====
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N. Burq, ''[http://arxiv.org/abs/math.AP/0210279 Smoothing effect for Schrodinger boundary value problems]'', preprint.
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=====Bu-p3=====
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N. Burq, Estimations de Strichartz pour des perturbations a longe portee de l\u2019operateur de Schrodinger, preprint.
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=====BuGdTz-p=====
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N. Burq, P. Gerard, N. Tzvetkov, ''Two singular dynamics of the nonlinear Schrodinger equation on a plane domain'', preprint.
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=====BuGdTz2002=====
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N. Burq, P. Gerard, N. Tzvetkov, ''An instability property of the nonlinear Schrodinger equation on S^d'', MRL 9 (2002), 323-335.
 +
 
 +
=====BuGdTz-p3=====
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N. Burq, P. Gerard, N. Tzvetkov, ''Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds'', preprint.
 +
 
 +
=====BuGdTz-p4=====
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N. Burq, P. Gerard, N. Tzvetkov, ''On nonlinear Schrodinger equations in exterior domains'', preprint.
 +
 
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=====BuGdTz2003=====
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N. Burq, P. Gerard, N. Tzvetkov, ''The Cauchy problem for the nonlinear Schrodinger equation on a compact manifold'', Proc. Oresund Symposium on PDE, Lund, May 2002, J. Nonlinear Math. Phys. 10 suppl 1. (2003), 1-16.
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 +
=====BuGdTz-p6=====
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N. Burq, P. Gerard, N. Tzvetkov, ''An example of singular dynamics for the nonlinear Schrodinger equation on bounded domains, Proc. conference on hyperbolic PDE and related topics, Cortona September 2002'', preprint.</font></font>
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=====BuGdTz-p7=====
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N. Burq, P. Gerard, N. Tzvetkov, ''[http://arxiv.org/abs/math.AP/0308214 Bilinear Eigenfunction Estimates and the Nonlinear Schroedinger Equation on Surfaces]'', preprint.</font></font>
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 +
=====BuPlStaTv-p=====
 +
<font color="black">N. Burq</font><font color="black">, F. Planchon, J. Stalker, A. Shadi Tahvidar-Zadeh, Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential, preprint.</font>
 +
 
 +
=====BuPlStaTv-p2=====
 +
<font color="black"> N. Burq, F. Planchon, J. Stalker, A. Shadi Tahvidar-Zadeh, ''[http://arxiv.org/abs/math/0401019 Strichartz estimates for the Wave and Schrodinger Equations with potentials of critical decay]'', preprint.</font>
 +
 
 +
=====BusPer1993=====
 +
V. Buslaev, G. Perelman, Scattering for the nonlinear Schrodinger equations: states close to a solitary wave, St. Petersburg Math J. 4 (1993), 1111-1142.
 +
 
 +
=====BusPer1995=====
 +
V. Buslaev, G. Perelman, On the stability of solitary waves for nonlinear Schrodinger equations.Nonlinear evolution equations 75-98, Amer. Math. Soc. Transl. Ser. 2, 164, Amer. Math. Soc. Providence, RI 1995.
 +
 
 +
=====BusSuc2003=====
 +
V. Buslaev, C. Sulem, On asymptotic stability of solitary waves for nonlinear Schrodinger equations, Ann. Inst. H. Poincare Anal. Nonlineaire 20 (2003) 3, 419-475.
  
 
<center>C</center>
 
<center>C</center>
  
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L.A. Caffarelli, A. Friedman, the blowup boundary for nonlinearwave equations, TAMS 297 (1986), 223-241.
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* [Car2002c] R. Carles, ''Critical nonlinear Schrödinger equations with and without harmonic potential'', Math. Mod. Meth. Appl. Sci. (M3AS) '''12''' (2002), 1513-1523
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S. Calogero, Global small solutions of the Vlasov-Maxwell system in absence of incoming radiation., preprint
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+
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* [CarFerGal-p] R. Carles, C. Fermanian, I. Gallagher, ''[http://arXiv.org/abs/math.AP/0212171 On the role of quadratic oscillations in nonlinear Schrodinger equations]'', preprint.
+
R. Carles, ''Geometric optics and long-range scattering for one-dimensional nonlinear Schrodinger equations'', Comm. Math. Phys. '''220''' (2001), 41-67.
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* [CarMil-p] R. Carles, ''[http://arxiv.org/abs/math.AP/0212263 Semiclassical nonlinear Schrodinger equations with potential and focusing initial data]'', preprint.
+
R. Carles, ''Critical nonlinear Schrodinger equations with and without harmonic potential'', Math. Mod. Meth. Appl Sci. '''12''' (2002), 1513-1523..
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+
 
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* [Cv2002] X. Carvajal, <span style="mso-bidi-font-size: 10.0pt">Propriedades das solucoes de uma equacao de Scrodinger nao linear de alta ordem, PhD Thesis, Instituto de matematica pura e aplicada, IMPA, Rio de Janeiro, Brazil, (2002).</span><font face="&quot;Courier New&quot;"></font>
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R. Carles, ''Remarks on nonlinear Schrodinger equations with harmonic potential'', Ann. Henri Poincare '''3''' (2002), 757-772.
* <span style="mso-bidi-font-size: 10.0pt">[Cv2004] X. Carvajal, [http://ejde.math.txstate.edu/Volumes/2004/13/abstr.html Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices] , Electron. J. Diff. Eqns., Vol. 2004(2004), No. 13, pp. 1-10. </span><font face="&quot;Courier New&quot;"></font>
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* <span style="mso-bidi-font-size: 10.0pt">[CvLi2003] X. Carvajal, F. Linares, ''A higher order nonlinear Schr\"odinger equation with variable coefficients, Differential and Integral Equations'', '''16, 9''', (2003), 1111—1130.</span>
+
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* <span style="mso-bidi-font-size: 10.0pt">[CvLi-p] X. Carvajal, F. Linares, ''Some properties for a higher order nonlinear Schr\"odinger equation'', Preprint.</span>
+
R. Carles, ''Critical nonlinear Schrödinger equations with and without harmonic potential'', Math. Mod. Meth. Appl. Sci. (M3AS) '''12''' (2002), 1513-1523
* <span style="mso-bidi-font-size: 10.0pt">[CvPan-p] X. Carvajal, M. Panthee, ''Unique continuation property for a higher''</span>
+
 
 +
=====Car2003=====
 +
R. Carles, Annales IHP, Analyse nonlineaire, '''20''' (2003) 501-542.
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 +
=====Car-p=====
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R. Carles, ''[http://arXiv.org/abs/math.AP/0210481 Nonlinear Schrodinger equations with repulsive harmonic potential and applications]'', preprint.
 +
 
 +
=====CarFerGal-p=====
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R. Carles, C. Fermanian, I. Gallagher, ''[http://arXiv.org/abs/math.AP/0212171 On the role of quadratic oscillations in nonlinear Schrodinger equations]'', preprint.
 +
 
 +
=====CarKer-p=====
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R. Carles, S. Keraani, ''[http://arxiv.org/abs/math.AP/0404201 On the role of quadratic oscillations in nonlinear Schroedinger equations II. The $L^2$-critical case]'', preprint.
 +
 
 +
=====CarNky-p=====
 +
R. Carles, Y. Nakamura, ''[http://arXiv.org/abs/math.AP/0302339 Nonlinear Schrodinger equations with Stark potential]'', preprint.
 +
 
 +
=====CarMil-p=====
 +
R. Carles, ''[http://arxiv.org/abs/math.AP/0212263 Semiclassical nonlinear Schrodinger equations with potential and focusing initial data]'', preprint.
 +
 
 +
=====CarRa-p=====
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R. Carles, J. Rauch, ''[http://arXiv.org/abs/math.AP/0212288 Focusing of spherical nonlinear pulses in R^{1+3} III. Sub and supercritical cases]'', preprint.
 +
 
 +
=====CrrBu.1991=====
 +
R. Carrol, C. Bu, ''Solution of the Forced Nonlinear Schrodinger Equation (NLS) Using PDE Techniques'', Appl. Anal.''' 41''' (1991), 31-51.<font face="&quot;Courier New&quot;"></font>
 +
 
 +
=====Cv2002=====
 +
X. Carvajal, <span style="mso-bidi-font-size: 10.0pt">Propriedades das solucoes de uma equacao de Scrodinger nao linear de alta ordem, PhD Thesis, Instituto de matematica pura e aplicada, IMPA, Rio de Janeiro, Brazil, (2002).</span><font face="&quot;Courier New&quot;"></font>
 +
 
 +
=====Cv2004=====
 +
X. Carvajal, [http://ejde.math.txstate.edu/Volumes/2004/13/abstr.html Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices] , Electron. J. Diff. Eqns., Vol. 2004(2004), No. 13, pp. 1-10. </span><font face="&quot;Courier New&quot;"></font>
 +
 
 +
=====CvLi2003=====
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X. Carvajal, F. Linares, ''A higher order nonlinear Schr\"odinger equation with variable coefficients, Differential and Integral Equations'', '''16, 9''', (2003), 1111\u20141130.</span>
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 +
=====CvLi-p=====
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X. Carvajal, F. Linares, ''Some properties for a higher order nonlinear Schr\"odinger equation'', Preprint.</span>
 +
 
 +
=====CvPan-p=====
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X. Carvajal, M. Panthee, ''Unique continuation property for a higher''</span>
 
* ''<span style="mso-bidi-font-size: 10.0pt">oder nonlinear Schr\"odinger equation</span>''<span style="mso-bidi-font-size: 10.0pt">, Preprint.</span>
 
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T. Cazenave, F.B. Weissler, ''Asymptotically self-similar global solutions of the nonlinear Schrodinger and heat equations'', Math. Z. '''228''' (1998), 83-120.
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H. Chihara, ''Local existence for semilinar Schrodinger equations'', Math. Japon. '''42''' (1995), 35-52.
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H. Chihara, ''The initial value problem for cubic semilinear Schrodinger equations'', Publ. Res. Inst. Math. Sci. '''32''' (1996), 445-471.
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H. Chihara, ''Gain of regularity for semilinear Schrodinger equations'', Math. Ann. '''315''' (1999), 529-567.
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H. Chihara, ''The initial value problem for Schrodinger equations on the torus'', IMRN '''15''' (2002), 789-820.
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Y. Choquet-Bruhat, ''Theorem d\u2019Existence pour certains sytemes d\u2019equations aux derivees partielles nonlineaires'', Acta Math '''88''' (1952), 141-225
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Y. Choquet-Bruhat, Un theoreme d\u2019instabilit pour certains equations hyperboliques nonlineaires, C.R. Acad. Paris Sr. A-B 276 (1973), A281-A284.
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Y. Choquet-Bruhat, ''Global existence theorems for hyperbolic harmonic maps'', Ann. Inst. H. Poincare Phys. Theor. '''46''' (1987), 97-111.
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Y. Choquet-Bruhat, D. Christodoulou, ''Existence of global solutions of the Yang-Mills, Higgs, and spinor field equations in 3+1 dimensions'', Ann. Sci. Ecole Norm. Sup. '''(4) 14''' (1981), 481-506.
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Y. Choquet-Bruhat, R. Geroch, ''Global aspects of the Cauchy problem in General Relativity'', CMP '''14''' (1969), 329-335.
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M. Christ, J. Colliander, T. Tao, ''[http://arxiv.org/abs/math.AP/0203044 Asymptotics, frequency modulation, and low-regularity illposedness of canonical defocussing equations]'', preprint.
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M. Christ, J. Colliander, T. Tao, ''[http://arxiv.org/abs/math.AP/0311048 Low-regularity ill-posedness for nonlinear Schrodinger and wave equations<span style="font-style: normal">,</span>]'' preprint.
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M. Christ, J. Colliander, T. Tao, ''[http://arxiv.org/abs/math.AP/0311227 Instability of the periodic nonlinear Schrodinger equation]'', preprint.
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M. Christ, M. Weinstein, ''Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation'', J. Funct. Anal. '''100''' (1991), 87-109.
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D. Christodoulou, ''Solutions globales des equations de champ de Yang-Mills'', C. R. Acad. Sci. Paris Series A '''289''' (1981), 481-506.
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D. Christodoulou, ''Global solutions of nonlinear hyperbolic equations for small initial data'', Comm. Pure Appl. Math, '''39''' (1986), 267-282.
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D. Christodoulou, S. Klainerman, ''Asymptotic properties of linear field equations in Minkowski space'', Comm. Pure Appl. Math, (1990), 137-199
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D. Christodoulou, A. Tahvildar-Zadeh, ''On the regularity of spherically symmetric wave maps'', Comm. Pure Appl. Math, '''46''' (1993), 1041-1091.
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D. Christodoulou, A. Tahvildar-Zadeh, ''On the asymptotic behavior of a spherically symmetric wave map'', Duke Math. J. '''71''' (1993), 31-69.
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P. Chrusciel, J. Shatah, ''Global existence of solutions of the Yang-Mills equations on globally hyperbolic four-dimensional Lorentzian manifolds'' Asian J. Math. '''1''' (1997), no. 3, 530-548.
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S. Cohn, ''Resonance and long time existence for the quadratic nonlinear Schrodinger equation'', CPAM '''45''' (1992), 973-1001.
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S. Cohn, ''Global existence for the nonresonant Schrodinger equation in two space dimensions'', Canad. Appl. Math. Quart. '''2''' (1994), 257-282.
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T. Colin, ''Effects regularisants pour des equations dispersive obtenus par une transformee de Wigner generalisee'', C. R. Acad. Sci. Paris, Ser. I. Math '''317''' (1993), 673-676.
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M. Colin, On the local well-posedness of quasilinear Schrodinger equations in arbitrary space dimension, CPDE 27 (2002), 325-354.
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=====Col2003=====
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M. Colin, <span style="mso-bidi-font-size: 11.0pt"><font color="#121212">Stability of stationary waves for a quasilinear Schrödinger equation in space dimension 2. [http://www.ams.org/msnmain?fn=305&pg1=CN&s1=Adv_Differential_Equations&v1=Adv%2E%20Differential%20Equations ''Adv. Differential Equations''] '''8 '''(2003), [http://www.ams.org/msnmain?fn=130&pg1=ISSI&s1=206269&v1=Advances%20in%20Differential%20Equations%20%5B%208%20%282003%29%2C%20no%2E%201%5D no. 1,] 1--28.</font></span>
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=====Co1996=====
 +
J. Colliander, ''Globalizing estimates for the KP-I equation'', Illinois J. Math. '''40''' (1996), 692-698.
 +
 
 +
=====Co1997=====
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J. Colliander, The initial value problem for the Zakharov system, PhD Thesis, U. Illinois, 1997.
 
* [[http://www.math.berkeley.edu/~colliand/CDKS.pdf CoDeKnSt-p]] J. Colliander, J. Delort, C. Kenig, G. Staffilani, ''[http://www.math.berkeley.edu/~colliand/CDKS.pdf Bilinear Estimates and applications to 2D NLS]'', preprint.
 
* [[http://www.math.berkeley.edu/~colliand/CDKS.pdf CoDeKnSt-p]] J. Colliander, J. Delort, C. Kenig, G. Staffilani, ''[http://www.math.berkeley.edu/~colliand/CDKS.pdf Bilinear Estimates and applications to 2D NLS]'', preprint.
* [CoKeStTkTa2001] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0101261 Global well-posedness for KdV in Sobolev spaces of negative index]'', [http://ejde.math.swt.edu/ EJDE] 2001 (2001) No 26, 1-7.
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* [CoKeStTkTa2001b] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://xxx.lanl.gov/abs/math/?0101263 Global well-posedness for the Schrodinger equations with derivative]'', SIAM J. Math. Anal. '''33''' (2001), 649-669.
+
=====CoKeStTkTa2001=====
* [CoKeStTkTa2002] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0203218 Almost conservation laws and global rough solutions to a nonlinear Schrodinger equation]'', Math Res. Lett. 9 (2002), 5-6, 659-682.
+
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0101261 Global well-posedness for KdV in Sobolev spaces of negative index]'', [http://ejde.math.swt.edu/ EJDE] 2001 (2001) No 26, 1-7.
* [CoKeStTkTa2002b] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0110026 A refined global well-posedness for the Schrodinger equations with derivative]'', SIAM J. Math. Anal. '''34''' (2002), 64-86.
+
 
* [CoKeStTkTa2003] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[math.AP/0110045 Sharp global well-posedness results for periodic and non-periodic KdV and modified KdV on R and T]'', JAMS 16 (2003), 705-749.
+
=====CoKeStTkTa2001b=====
* [CoKeStTkTa2003b] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0206218 Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm]'', Discrete Contin. Dyn. Syst. '''9''' (2003), 31-54.
+
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://xxx.lanl.gov/abs/math/?0101263 Global well-posedness for the Schrodinger equations with derivative]'', SIAM J. Math. Anal. '''33''' (2001), 649-669.
* [CoKeStTkTa2003c] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Polynomial growth and orbital instability bounds for $L^2$-subcritical NLS below the energy norm'', Commun. Pure Appl. '''2''' (2003), 33-50.
+
 
* [CoKeStTkTa-p] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Global well-posedness and scattering in the energy space for the critical nonlinear Schrodinger equation in R^3'', preprint
+
=====CoKeStTkTa2002=====
* [CoKeStTkTa-p3] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0110049 Multi-linear estimates for periodic KdV equations, and applications]'', preprint
+
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0203218 Almost conservation laws and global rough solutions to a nonlinear Schrodinger equation]'', Math Res. Lett. 9 (2002), 5-6, 659-682.
* [CoKeStTkTa-p5] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Further global well-posedness results for 2D NLS'', preprint.
+
 
* [CoKeStTkTa-p8] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0301260 Scattering for cubic 3D NLS below the energy norm]'', preprint.
+
=====CoKeStTkTa2002b=====
* [CoKeStTkTa-p9] J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Symplectic non-squeezing for periodic KdV'', preprint
+
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0110026 A refined global well-posedness for the Schrodinger equations with derivative]'', SIAM J. Math. Anal. '''34''' (2002), 64-86.
* [CoKn-p] J. Colliander, C. Kenig, ''[http://arxiv.org/abs/math.AP/0111294 The generalized Korteweg-de Vries equation on the half line]'', preprint
+
 
* [CoKnSt-p] J. Colliander, C. Kenig, G. Staffilani, ''Local well-posedness and regularity properties of solutions of the generalized Kadomtsev-Petviashvili equations'', preprint.
+
=====CoKeStTkTa2003=====
* [CoKnSt-p2] J. Colliander, C. Kenig, G. Staffilani, ''[http://arxiv.org/abs/math.AP/0204244 Low regularity solutions of the Kadomtsev-Petviashvili-I equation]'', preprint.
+
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[math.AP/0110045 Sharp global well-posedness results for periodic and non-periodic KdV and modified KdV on R and T]'', JAMS 16 (2003), 705-749.
* [CoKnSt-p3] J. Colliander, C. Kenig, G. Staffilani, ''[http://arxiv.org/abs/math.AP/0112025 Small solutions for the Kadomtsev-Petviashvili I equation]'', Mosc. Math J. 1 (2001), 491-520.
+
 
* [CoKnSt-p4] J. Colliander, C. Kenig, G. Staffilani, ''[http://arxiv.org/abs/math.AP/0112025 Local well-posedness for dispersion generalized Benjamin-Ono equations]'', preprint.
+
=====CoKeStTkTa2003b=====
 +
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0206218 Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm]'', Discrete Contin. Dyn. Syst. '''9''' (2003), 31-54.
 +
 
 +
=====CoKeStTkTa2003c=====
 +
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Polynomial growth and orbital instability bounds for $L^2$-subcritical NLS below the energy norm'', Commun. Pure Appl. '''2''' (2003), 33-50.
 +
 
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=====CoKeStTkTa-p=====
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J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Global well-posedness and scattering in the energy space for the critical nonlinear Schrodinger equation in R^3'', preprint
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=====CoKeStTkTa-p3=====
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J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0110049 Multi-linear estimates for periodic KdV equations, and applications]'', preprint
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=====CoKeStTkTa-p5=====
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J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Further global well-posedness results for 2D NLS'', preprint.
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=====CoKeStTkTa-p8=====
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J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0301260 Scattering for cubic 3D NLS below the energy norm]'', preprint.
 +
 
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J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Symplectic non-squeezing for periodic KdV'', preprint
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J. Colliander, C. Kenig, ''[http://arxiv.org/abs/math.AP/0111294 The generalized Korteweg-de Vries equation on the half line]'', preprint
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=====CoKnSt-p=====
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J. Colliander, C. Kenig, G. Staffilani, ''Local well-posedness and regularity properties of solutions of the generalized Kadomtsev-Petviashvili equations'', preprint.
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=====CoKnSt-p2=====
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J. Colliander, C. Kenig, G. Staffilani, ''[http://arxiv.org/abs/math.AP/0204244 Low regularity solutions of the Kadomtsev-Petviashvili-I equation]'', preprint.
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J. Colliander, C. Kenig, G. Staffilani, ''[http://arxiv.org/abs/math.AP/0112025 Small solutions for the Kadomtsev-Petviashvili I equation]'', Mosc. Math J. 1 (2001), 491-520.
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J. Colliander, C. Kenig, G. Staffilani, ''[http://arxiv.org/abs/math.AP/0112025 Local well-posedness for dispersion generalized Benjamin-Ono equations]'', preprint.
 
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* [[http://www.math.berkeley.edu/~colliand/kdvbz.pdf CoStTk1999]] J. Colliander, G. Staffilani, H. Takaoka, ''[http://www.math.berkeley.edu/~colliand/kdvbz.pdf Global well-posedness of the KdV equation below L^2]'', [http://math.ucsd.edu/~mrl/ Math Res. Letters] '''6''' (1999), 755-778
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P. Constantin, J.C. Saut, ''Local smoothing properties of Schrodinger equations'', Indiana U. Math. J. '''38''' (1989), 781-810.
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G. Costakis, M. Grillakis, ''Local and global existence for the Schrodinger map problem'', preprint
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W. Craig, T. Kappeler, W. Strauss, ''Gain of regularity for equations of the Korteweg-de Vries type'', Ann. Inst. Henri Poincare '''9''' (1992), 147-186.
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W. Craig, T. Kappeler, W. Strauss, ''Microlocal dispersive smoothing for the Schrodinger equation'', Comm. Pure Appl. Math '''48''' (1995), 769-860.
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C. Cronstrom, ''A simple and complete Lorentz-invariant gauge condition'', Phys. Lett. B '''90''' (1980), 267-269.
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S. Cuccagna, ''On the local existence for the Maxwell-Klein-Gordon system in R^{3+1}'', [http://www.dekker.com/e/p.pl/0360-5302 Comm. Partial Differential Equations.] '''24''' (1999), 851-867.
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S. Cuccagna, Stabilization of solutions to nonlinear Schrodinger equations, CPAM 54 (2001), 1110-1145.
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S. Cuccagna, On asymptotic stability of ground states of NLS, preprint.
  
 
<center>D</center>
 
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* [DeSze-p] J. Delort, J. Szeftel, Long time existence for small data nonlinear Klein-Gordon equations on tori and spheres, IMRN 2004:37 (2004) 1897-1966
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* [DiaFi1989] J. Dias, M. Figueira, ''On the existence of weak solutions for a time-dependent nonlinear Dirac equation'', Proc. Royal Soc. Edinburgh '''113A''' (1989), 149-158.
+
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* [Di1998] Q. Ding, A note on the NLS and the Schrodinger flow of maps, Phys. Lett A. 248 (1998) 49-56.
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A. Debussche, L. Di Menza, ''Numerical simulation of the nonlinear stochastic Schrodinger equation'', Phys D '''162''' (2002), 131-154.
* [Di1999] Q. Ding, The gauge equivalence of the NLS and the Schrodinger flow of maps in 2+1 dimensions, J. Phys. Math. A.; Math. Gen. 32 (1999), 5087-5096.
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* [Di2002] W. Ding, ''On the Schrodinger flows'', Proc. ICM Beijing 2002, vol 2, 283-292.
+
P. Deift, X. Zhou, ''Long-time asymptotics for integrable systems. Higher order theory'', Comm. Math. Phys. '''165''' (1994), 175-191.
* [DiWgy1998] W. Ding, Y. Wang, ''Schrodinger flow of maps into symplectic manifolds'', Science in China (Series A) '''41''' (1998), 746-755.
+
 
* [DiWgy2001] W. Ding, Y. Wang, ''Local Schrodinger flow into Kahler manifolds.'' Science in China (Series A) 44 (2001), 1446-1464.
+
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* [Do1994] S. Doi, ''On the Cauchy problem for Schrodinger type equations and the regularity of the solutions'', J. Math. Kyoto U. '''34''' (1994), 319-328.
+
J. Delort, ''Sur le temps d'existence pour l'equation de Klein-Gordon semi-lineaire en dimension 1'', Bull. Soc. Math. France '''125''' (1997), 269-311.
* [Do1996] S. Doi, ''Remarks on the Cauchy problem for Schrodinger type equations'', CPDE '''21''' (1996), 163-178.
+
 
* [Do2000] S. Doi, ''Smoothing effects for Schrodinger evolution equation and global behavior of geodesic flow'', Math Ann. '''318''' (2000), 355-389.
+
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* [Do-p] S. Doi, ''On the regularity of solutions for some semilinear Schrodinger equations'', preprint.
+
J. Delort, ''L'équation de Klein-Gordon à données petites faiblement décroissantes'', Séminaire sur les Équations aux Dérivées Partielles, 1996-1997, Exp. No. V, 14 pp., École Polytech., Palaiseau, 1997.
* [DonLs1981] G.C. Dong, S.J. Li, ''On the initial value problem for a nonlinear Schrodinger equation'', JDE '''42''' (1981) 353-365.
+
 
* [Du1982] O. Dumitrascu, ''Equivariant solutions of the Yang-Mills equations.'' (Romanian. English summary) Stud. Cerc. Mat. '''34''' (1982), 329-333.
+
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* [Duy-p] T. Duyckaerts, ''[http://arxiv.org/abs/math.AP/0310309 A singular critical potential for the Schrodinger operator]'', preprint.
+
J. Delort, ''Temps d'existence pour l'équation de Klein-Gordon semi-linéaire à données petites périodiques'', Amer. J. Math. '''120''' (1998), 663-689.
* [Dy1979] K.B. Dysthe, Note on a modification to the nonlinear Schrodinger equation for application to deep water, Proc. Roy. Soc. London Ser. A. 369 (1979), 105—114.
+
 
 +
=====De1999=====
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J. Delort, ''Minoration du temps d'existence pour l'équation de Klein-Gordon non-linéaire en dimension 1 d'espace'', Ann. Inst. H. Poincaré Anal. Non Linéaire '''16''' (1999), 563-591.
 +
 
 +
=====De2001=====
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J. Delort, Existence global et comportement asymptotique pour l'equation de Klein-Gorodn quasi lineaire a donnees petites en dimension 1, Ann. Sci. Ecole Norm. Sup. '''34''' (2001), 1-61.
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 +
=====De2002=====
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J. Delort, Global solutions for small nonlinear long-range perturbations of two-dimensional Schrodinger equations, Societe Mathematique de France.
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 +
=====DeFg-p=====
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J. Delort, D. Fang, ''Almost global existence of solutions of semilinear Klein-Gordon equations with small weakly decaying Cauchy data'', CPDE to appear.
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 +
=====DeFgXue-p=====
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J. Delort, D. Fang, R. Xue, ''Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions'', preprint.
 +
 
 +
=====DeSze-p=====
 +
J. Delort, J. Szeftel, Long time existence for small data nonlinear Klein-Gordon equations on tori and spheres, IMRN 2004:37 (2004) 1897-1966
 +
 
 +
=====DiaFi1989=====
 +
J. Dias, M. Figueira, ''On the existence of weak solutions for a time-dependent nonlinear Dirac equation'', Proc. Royal Soc. Edinburgh '''113A''' (1989), 149-158.
 +
 
 +
=====Di1998=====
 +
Q. Ding, A note on the NLS and the Schrodinger flow of maps, Phys. Lett A. 248 (1998) 49-56.
 +
 
 +
=====Di1999=====
 +
Q. Ding, The gauge equivalence of the NLS and the Schrodinger flow of maps in 2+1 dimensions, J. Phys. Math. A.; Math. Gen. 32 (1999), 5087-5096.
 +
 
 +
=====Di-p=====
 +
Q. Ding, ''[http://arxiv.org/abs/math.DG/0312028 On Schrodinger flows to the Hyperbolic 2-space]'', preprint.
 +
 
 +
=====Di2002=====
 +
W. Ding, ''On the Schrodinger flows'', Proc. ICM Beijing 2002, vol 2, 283-292.
 +
 
 +
=====DiWgy1998=====
 +
W. Ding, Y. Wang, ''Schrodinger flow of maps into symplectic manifolds'', Science in China (Series A) '''41''' (1998), 746-755.
 +
 
 +
=====DiWgy2001=====
 +
W. Ding, Y. Wang, ''Local Schrodinger flow into Kahler manifolds.'' Science in China (Series A) 44 (2001), 1446-1464.
 +
 
 +
=====Do1994=====
 +
S. Doi, ''On the Cauchy problem for Schrodinger type equations and the regularity of the solutions'', J. Math. Kyoto U. '''34''' (1994), 319-328.
 +
 
 +
=====Do1996=====
 +
S. Doi, ''Remarks on the Cauchy problem for Schrodinger type equations'', CPDE '''21''' (1996), 163-178.
 +
 
 +
=====Do2000=====
 +
S. Doi, ''Smoothing effects for Schrodinger evolution equation and global behavior of geodesic flow'', Math Ann. '''318''' (2000), 355-389.
 +
 
 +
=====Do-p=====
 +
S. Doi, ''On the regularity of solutions for some semilinear Schrodinger equations'', preprint.
 +
 
 +
=====DonLs1981=====
 +
G.C. Dong, S.J. Li, ''On the initial value problem for a nonlinear Schrodinger equation'', JDE '''42''' (1981) 353-365.
 +
 
 +
=====Du1982=====
 +
O. Dumitrascu, ''Equivariant solutions of the Yang-Mills equations.'' (Romanian. English summary) Stud. Cerc. Mat. '''34''' (1982), 329-333.
 +
 
 +
=====Duy-p=====
 +
T. Duyckaerts, ''[http://arxiv.org/abs/math.AP/0310309 A singular critical potential for the Schrodinger operator]'', preprint.
 +
 
 +
=====Dy1979=====
 +
K.B. Dysthe, Note on a modification to the nonlinear Schrodinger equation for application to deep water, Proc. Roy. Soc. London Ser. A. 369 (1979), 105\u2014114.
  
 
<center>E</center>
 
<center>E</center>
  
* [EaMc1982] D. Eardley, V. Moncrief, ''The global existence of Yang-Mills-Higgs fields in R^{3+1}'', Comm. Math. Phys. '''83''' (1982), 171-212.
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D. Eardley, V. Moncrief, ''The global existence of Yang-Mills-Higgs fields in R^{3+1}'', Comm. Math. Phys. '''83''' (1982), 171-212.
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+
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* [EsSer2002] M. Esteban, E. Sere, ''An overview of linear and nonlinear Dirac equations'', Discrete Cont. Dynamical Systems '''8''' (2002), 381-397.
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W. Eckhaus, P. Schuur, The emergence of solutions to the Korteweg-de Vries equation from arbitrary initial conditions, Math Meth. Appl. Sci. 5 (1983), 97-116.
* [EsSr1994] M. Esteban, W. Strauss, ''Nonlinear bound states outside an insulated sphere'', CPDE '''19''' (1994), 177-194.
+
 
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=====El2003=====
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K. El Dika, Stabilite asymptotique des ondes solitaires de l\u2019equation de Benjamin-Bona-Mahony, C. R. Acad. Sci. Paris Ser. I 337 (2003), 649\u2014652.
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=====El-p=====
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K. El Dika, Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation, Preprint 2003.
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 +
=====EscVe1997=====
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M. Escobedo, L. Vega, ''A semilinear Dirac equation in H^s(R^3) for s > 1'', Siam J. Math Anal. '''28''' (1997), 338-362.
 +
 
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=====EsSer2002=====
 +
M. Esteban, E. Sere, ''An overview of linear and nonlinear Dirac equations'', Discrete Cont. Dynamical Systems '''8''' (2002), 381-397.
 +
 
 +
=====EsSr1994=====
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M. Esteban, W. Strauss, ''Nonlinear bound states outside an insulated sphere'', CPDE '''19''' (1994), 177-194.
  
 
<center>F</center>
 
<center>F</center>
  
* [FgGl1996] Y. Fang, M. Grillakis, ''A priori estimates for the 2-D wave equation''. Comm. Partial Differential Equations '''21''' (1996), no. 9-10, 1643-1665.
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Y. Fang, M. Grillakis, ''A priori estimates for the 2-D wave equation''. Comm. Partial Differential Equations '''21''' (1996), no. 9-10, 1643-1665.
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* [FtSnTl1987] M. Flato, J. Simon, E. Taflin, ''On global solutions of the Maxwell-Dirac equations'', CMP '''112''' (1987), 21-49.
+
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* [Fo-p] G. Fonseca, ''Global well-posedness for two dimensional semilinear wave equations'', preprint.
+
A. Faminskii, ''The Cauchy problem and the mixed problem in the half strip for equations of Korteweg-de Vries type'' (Russian), Dinamika Sploshn. Sredy '''162''' (1983), 152-158.
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* [FoLiPo-p] G. Fonseca, F. Linares, G. Ponce, ''[http://www.preprint.impa.br/Shadows/SERIE_A/2002/132.html Global well-posedness for the critical generalized KdV equation]'', preprint.
+
=====Fa1990=====
* [Fs2002] A.S. Fokas, ''Integrable nonlinear evolution equations on the half-line'', CMP '''230''' (2002), 1-39.
+
A.V. Faminski, ''The Cauchy problem for the Kadomtsev-Petviashvili equation'', Russian Math. Sur. '''5''' (1990), 203-204.
* [FsAb1984] A.S. Fokas, M. Ablowitz, ''The inverse scattering transform for the Benjamin-Ono equation: a pivot to multidimensional problems'', Stud. Appl. Math. (1984) '''68''', 1-10.
+
 
* [FsIt-p] A.S. Fokas, A.R. Its, ''The nonlinear Schrodinger equation on an interval'', preprint.
+
=====FerMeZaa2000=====
* [FsLu2000] A.S. Fokas, L. Luo, ''Global solutions and their asymptotic behavior for Benjamin-Ono-Burgers type equations'', DIE '''13 '''(2000), 115-124.
+
C. Fermanian, F. Merle, H. Zaag, Stability of the blowup profile of a nonlinear heat equations from dynamical systems point of view, Math. Ann. 317 (2000), 347-387.
* [FsSng1992] A.S. Fokas, L. Y. Sung, ''On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations'', Inverse Problems '''8''' (1992), 673-708.
+
 
* [Fc2000] D. Foschi, ''[http://www.math.ias.edu/~dfoschi/t.pdf On the regularity of multilinear forms associated to the wave equation]'', PhD Thesis, January 2000.
+
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* [Fc2000b] D. Foschi, ''[http://www.math.ias.edu/~dfoschi/ctrxfin.pdf On an endpoint case of the Klainerman-Machedon estimates]'', CPDE '''25''' (2000), 1537-1547.
+
M. Flato, J. Simon, E. Taflin, ''On global solutions of the Maxwell-Dirac equations'', CMP '''112''' (1987), 21-49.
* [Fc-p] D. Foschi, ''[http://www.math.ias.edu/~dfoschi/trix.ps Proof of a conjecture on trilinear estimates]'', preprint 1999.
+
 
* [Fc-p2] D. Foschi, ''[http://arxiv.org/abs/math.AP/0312240 Inhomogeneous Strichartz estimates]'', preprint.
+
=====Fo-p=====
* [Fc-p3] D. Foschi, Some remarks on the L^p L^q boundedness of trigonometric sums and oscillatory integrals, preprint.
+
G. Fonseca, ''Global well-posedness for two dimensional semilinear wave equations'', preprint.
* [Fc-p4] D. Foschi, ''[http://arxiv.org/abs/math.AP/0404011 Maximizers for the Strichartz inequality]'', preprint.
+
 
 +
=====FoLiPo1999=====
 +
G. Fonseca, F. Linares, G. Ponce, ''Global well-posedness for the modified Korteweg-de Vries equation'', [http://www.dekker.com/e/p.pl/0360-5302 Comm. Partial Differential Equations.] '''24''' (1999), 683-705.
 +
 
 +
=====FoLiPo-p=====
 +
G. Fonseca, F. Linares, G. Ponce, ''[http://www.preprint.impa.br/Shadows/SERIE_A/2002/132.html Global well-posedness for the critical generalized KdV equation]'', preprint.
 +
 
 +
=====Fs2002=====
 +
A.S. Fokas, ''Integrable nonlinear evolution equations on the half-line'', CMP '''230''' (2002), 1-39.
 +
 
 +
=====FsAb1984=====
 +
A.S. Fokas, M. Ablowitz, ''The inverse scattering transform for the Benjamin-Ono equation: a pivot to multidimensional problems'', Stud. Appl. Math. (1984) '''68''', 1-10.
 +
 
 +
=====FsIt-p=====
 +
A.S. Fokas, A.R. Its, ''The nonlinear Schrodinger equation on an interval'', preprint.
 +
 
 +
=====FsLu2000=====
 +
A.S. Fokas, L. Luo, ''Global solutions and their asymptotic behavior for Benjamin-Ono-Burgers type equations'', DIE '''13 '''(2000), 115-124.
 +
 
 +
=====FsSng1992=====
 +
A.S. Fokas, L. Y. Sung, ''On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations'', Inverse Problems '''8''' (1992), 673-708.
 +
 
 +
=====Fc2000=====
 +
D. Foschi, ''[http://www.math.ias.edu/~dfoschi/t.pdf On the regularity of multilinear forms associated to the wave equation]'', PhD Thesis, January 2000.
 +
 
 +
=====Fc2000b=====
 +
D. Foschi, ''[http://www.math.ias.edu/~dfoschi/ctrxfin.pdf On an endpoint case of the Klainerman-Machedon estimates]'', CPDE '''25''' (2000), 1537-1547.
 +
 
 +
=====Fc-p=====
 +
D. Foschi, ''[http://www.math.ias.edu/~dfoschi/trix.ps Proof of a conjecture on trilinear estimates]'', preprint 1999.
 +
 
 +
=====Fc-p2=====
 +
D. Foschi, ''[http://arxiv.org/abs/math.AP/0312240 Inhomogeneous Strichartz estimates]'', preprint.
 +
 
 +
=====Fc-p3=====
 +
D. Foschi, Some remarks on the L^p \u2013 L^q boundedness of trigonometric sums and oscillatory integrals, preprint.
 +
 
 +
=====Fc-p4=====
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D. Foschi, ''[http://arxiv.org/abs/math.AP/0404011 Maximizers for the Strichartz inequality]'', preprint.
 
* [[http://www.math.ias.edu/~dfoschi/bilfin.pdf FcKl2000]] D. Foschi, S. Klainerman, ''[http://www.math.ias.edu/~dfoschi/bilfin.pdf Homogeneous L^2 bilinear estimates for wave equations]'', Les Annales Scientifiques de l'Ecole Normale Supérieure '''33''' (2000) 211-274.
 
* [[http://www.math.ias.edu/~dfoschi/bilfin.pdf FcKl2000]] D. Foschi, S. Klainerman, ''[http://www.math.ias.edu/~dfoschi/bilfin.pdf Homogeneous L^2 bilinear estimates for wave equations]'', Les Annales Scientifiques de l'Ecole Normale Supérieure '''33''' (2000) 211-274.
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+
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* [Fuj1979] D. Fujiwara, ''A construction of the fundamental solution for the Schrodinger equation'', J. Analyse Math. '''35''' (1979), 41-96.
+
A. Freire, S. Muller, M. Struwe, ''Weak compactness of wave maps and harmonic maps'', Ann. IHP. Anal. Nonlineaire 15 (1998), 725-754.
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+
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* [FuTs1980] I. Fukuda, Y. Tsutsumi, ''On solutions of the derivative nonlinear Schrodinger equation: existence and uniqueness theorem'', Funkcial. Ekvac. '''23''' (1980), 259-277.
+
J. Frohlich, T. Tsai, H. Yau, On the point-particle (Newtonian) limit of the non-linear Hartree equation, CMP 225 (2002), 223-274.
* [FuTs1981] I. Fukuda, Y. Tsutsumi, ''On solutions of the derivative nonlinear Schrodinger equation II'', Funkcial. Ekvac. '''234''' (1981), 85-94.
+
 
* [Fuk2001] R. Fukuizumi, ''Stability and instability of standing waves for the nonlinear Schr\"odinger equation with harmonic potential'', Discrete Contin. Dynam. Systems. '''7''' No.3 (2001) pp. 525-544
+
=====Fuj1979=====
* [Fuk2003] R. Fukuizumi, Remarks on the stable standing waves for nonlinear Schr\"odinger equations with double power nonlinearity, to appear in Advances in Mathematical Sciences and Applications. '''13''' No. 2 (2003)
+
D. Fujiwara, ''A construction of the fundamental solution for the Schrodinger equation'', J. Analyse Math. '''35''' (1979), 41-96.
* [FukOt2003] R. Fukuizumi, M. Ohta, ''Instability of standing waves for nonlinear Schr\"odinger equations with potentials'', Differential and Integral Equations. vol.16 No.6 (2003) pp. 691-706.
+
 
* [FukOt2003b] R. Fukuizumi, M. Ohta, ''Stability of standing waves for nonlinear Schr\"odinger equations with potentials'', Differential and Integral Equations. Vol.16 No.1 (2003) pp. 111-128
+
=====Fuj1980=====
* [Fur2001] G. Furioli, On the existence of self-similar solutions of the nonlinear Schrodinger equation with power nonlinearity between 1 and 2, DIE 14 (2001), 1259-1266.
+
D. Fujiwara, ''Remarks on the convergence of the Feynman path integrals'', Duke Math J. '''47''' (1980), 559-600.
* [FurPlTer2001] G. Furioli, F. Planchon, E. Terraneo, ''Unconditional well-posedness for semilinear Schrodinger and wave equations in H^s, '' Harmonic Analysis at Mount Holyoke (2001), 367-382, W. Beckner, A. Nagel, A. Seeger, H. Smith editors, AMS.
+
 
* [FurTer-p] G. Furioli, E. Terraneo, ''Besov spaces and unconditional well-posedness for the semilinear Schrodinger in H^s, ''preprint.
+
=====FuTs1978=====
 +
I. Fukuda, Y. Tsutsumi, ''On coupled Klein-Gordon-Schrodinger equations II'', J. Math. Anal. Appl. '''66''' (1978), 358-378.
 +
 
 +
=====FuTs1980=====
 +
I. Fukuda, Y. Tsutsumi, ''On solutions of the derivative nonlinear Schrodinger equation: existence and uniqueness theorem'', Funkcial. Ekvac. '''23''' (1980), 259-277.
 +
 
 +
=====FuTs1981=====
 +
I. Fukuda, Y. Tsutsumi, ''On solutions of the derivative nonlinear Schrodinger equation II'', Funkcial. Ekvac. '''234''' (1981), 85-94.
 +
 
 +
=====Fuk2001=====
 +
R. Fukuizumi, ''Stability and instability of standing waves for the nonlinear Schr\"odinger equation with harmonic potential'', Discrete Contin. Dynam. Systems. '''7''' No.3 (2001) pp. 525-544
 +
 
 +
=====Fuk2003=====
 +
R. Fukuizumi, Remarks on the stable standing waves for nonlinear Schr\"odinger equations with double power nonlinearity, to appear in Advances in Mathematical Sciences and Applications. '''13''' No. 2 (2003)
 +
 
 +
=====FukOt2003=====
 +
R. Fukuizumi, M. Ohta, ''Instability of standing waves for nonlinear Schr\"odinger equations with potentials'', Differential and Integral Equations. vol.16 No.6 (2003) pp. 691-706.
 +
 
 +
=====FukOt2003b=====
 +
R. Fukuizumi, M. Ohta, ''Stability of standing waves for nonlinear Schr\"odinger equations with potentials'', Differential and Integral Equations. Vol.16 No.1 (2003) pp. 111-128
 +
 
 +
=====Fur2001=====
 +
G. Furioli, On the existence of self-similar solutions of the nonlinear Schrodinger equation with power nonlinearity between 1 and 2, DIE 14 (2001), 1259-1266.
 +
 
 +
=====FurPlTer2001=====
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G. Furioli, F. Planchon, E. Terraneo, ''Unconditional well-posedness for semilinear Schrodinger and wave equations in H^s, '' Harmonic Analysis at Mount Holyoke (2001), 367-382, W. Beckner, A. Nagel, A. Seeger, H. Smith editors, AMS.
 +
 
 +
=====FurTer-p=====
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G. Furioli, E. Terraneo, ''Besov spaces and unconditional well-posedness for the semilinear Schrodinger in H^s, ''preprint.
  
 
<center>G</center>
 
<center>G</center>
  
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+
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I. Gallagher, P. Gerard, Profile decomposition for the wave equation outside a convex obstacle, JMPA 80 (2001), 1-49.
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I. Gallagher, F. Planchon, ''[http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.rmi/1049123083 On global solutions to a defocusing semi-linear wave equation]'', Rev. Mat. Iberoamericana '''19''' (2003), 161-177.
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+
=====GarGreKruMi1967=====
* [GeLbSo1997] V. Georgiev, H. Lindblad, C. Sogge, ''Weighted Strichartz estimates and global existence for semilinear wave equations'', Am. J. Math. '''119''' (1997) 1291-1319.
+
C. Gardner, J. Greene, M. Kruskal, R. Miura, ''A method for solving the Korteweg-de Vries equation'', Phys. Rev. Letters '''19''' (1967), 1095-1097.
* [GePp1991] V. Georgiev, P. Popivanov, ''Global solution to the two-dimensional Klein-Gordon equation'', CPDE '''16''' (1991), 941-995.
+
 
* [GeVis2003] V. Georgiev, N. Visciglia, Decay estimate for the wave equation with potential, CPDE 28 (2003), 1325-1369.
+
=====GarGreKruMi1974=====
* [GhSau1990] J.M. Ghidaglia, J.C. Saut, ''On the initial value problem for the Davey-Stewartson system'', Nonlinearity '''3''' (1990), 475-506
+
C. Gardner, J. Greene, M. Kruskal, R. Miura, ''The Korteweg-de Vries equation and its generalizations VI, Method for exact solutions'', CPAM '''27''' (1974), 87-133.
* [GhSau1992] J.M. Ghidaglia, J.C. Saut, On the Zakharov-Schulman equations, Nonlinear Dispersive Waves, L. Debnath ed. World Scientific (1992),
+
 
* [Gi1994] J. Ginibre, ''Scattering theory in the energy space for a class of nonlinear wave equations'', "Spectral and Scattering Theory and Application", Adv. Stud. Pure. Math. '''23 '''Kinokuniya Toyko (1994), 83-103.
+
=====GeaGw1984=====
* [Gi1994b] J. Ginibre, ''Equations d'Evolution Semilinearies: L'Equation de Schrodinger Non-lineaire'', Cours de DEA, Universite de Paris-Sud, Paris 1994
+
J. A. Gear, R. Grimshaw, ''Weak and strong interactions between internal solitary waves'', Stud. Appl. Math. '''65''' (1984), 235-258.
* [Gi1995] J. Ginibre, ''An introduction to nonlinear Schrödinger equations''. Hokkaido University Technical Report Series in Mathematics 43 (1996) 80-128.
+
 
* [Gi1998] J. Ginibre, ''Le probléme de Cauchy pour des EDP semi-linéaires périodiques en variables d'espace (d'aprés Bourgain)'', Séminaire Bourbaki 1994/1995, Asterisque '''237''' (1996), Exp. 796, 163-187.
+
=====Gd1992=====
* [GiOz1993] J. Ginibre, T. Ozawa, ''Long range scattering for nonlinear Schrodinger and Hartree equations in space dimension n>=2'', CMP '''151''' (1993) 619-645.
+
P. Gerard, ''Remarques sur l'analyse semi-classique de l'equation Schrodinger non lineaire'', Seminaire EDP de l'Ecole Polytechnique (1992), lecture XIII.
* [GiOzVl1994] J. Ginibre, T. Ozawa, G. Velo, ''On the existence of the wave operators for a class of nonlinear Schrodinger equations'', Ann. Inst. H. Poincare Pys. Theor. '''60''' (1994), 211-239.
+
 
* [GiSfVl1992] J. Ginibre, A. Soffer, G. Velo, ''The global Cauchy problem for the critical non-linear wave equation'', J. Funct. Anal. '''110''' (1982), 96-130.
+
=====Ge1991=====
* [GiTs1989] J. Ginibre, Y. Tsutsumi, ''Uniqueness for the generalized Korteweg-de Vries equations'', SIAM J. Math. Anal. '''20''' (1989), 1388-1425.
+
V. Georgiev, ''Small amplitude solutions of the Maxwell-Dirac equations'', IUMJ '''40''' (1991), 845-883.
* [GiTsVl1990] J. Ginibre, Y. Tsutsumi, G. Velo, ''Existence and uniqueness of solutions for the generalized Korteweg de Vries equation'', Math. Z. '''203''' (1990), 9-36.
+
 
* [GiTsVl1997] J. Ginibre, Y. Tsutsumi, G. Velo, ''On the Cauchy problem for the Zakharov system'', J. Funct. Anal. '''151''', (1997) 384-436.
+
=====GeIv-p=====
* [GiVl1978] J. Ginibre, G. Velo, ''Scattering theory in the energy space for a class of nonlinear Schrodinger equations'', J. Math. Pures Appl. '''64''' (1985), 363-401.
+
V. Georgiev, A. Ivanov, Concentration of local energy for two dimensional wave maps, preprint.
* [GiVl1979] J. Ginibre, G. Velo, ''On a class of nonlinear Schrodinger equations'', J. Funct. Anal. '''32''' (1979), 1-71.
+
 
* [GiVl1980] J. Ginibre, G. Velo, ''On a class of nonlinear Schrodinger equations with nonlocal interactions'', Math Z. '''170''' (1980), 109-136.
+
=====GeLbSo1997=====
* [GiVl1982] J. Ginibre, G. Velo, ''The Cauchy problem for the O(N), CP(N-1), and GC(N,P) models'', Ann. Physics, '''142''' (1982), 393-415.
+
V. Georgiev, H. Lindblad, C. Sogge, ''Weighted Strichartz estimates and global existence for semilinear wave equations'', Am. J. Math. '''119''' (1997) 1291-1319.
* [GiVl1982b] J. Ginibre, G. Velo, ''The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge'', CMP '''82''' (1981/1982), 1-28.
+
 
* [GiVl1985] J. Ginibre, G. Velo, ''Scattering Theory in the Energy Space for a Class of Nonlinear Schrodinger Equations'', J. Math. Pure Appl., '''64''' (1985), 363-401.
+
=====GePp1991=====
* [GiVl1985b] J. Ginibre and G. Velo, ''Time decay of finite energy solutions of the non linear Klein-Gordon and Schr\"odinger equations'', Ann. Inst. Henri. Poincar\'e, '''43''' (1985), 399-442.
+
V. Georgiev, P. Popivanov, ''Global solution to the two-dimensional Klein-Gordon equation'', CPDE '''16''' (1991), 941-995.
* [GiVl1985c] J. Ginibre, G. Velo, ''The global Cauchy problem for the non linear Klein-Gordon equation'', Math. Z. '''189''' (1985), 487-505.
+
 
* [GiVl1985d] J. Ginibre, G. Velo, ''The global Cauchy problem for the nonlinear Schrodinger equation revisited'', Annales I.H.P., Analyse non lineaire '''2''' (1985), 309-327.
+
=====GeVis2003=====
* [GiVl1987] J. Ginibre, G. Velo, ''Conformal invariance and time decay for nonlinear wave equations I.'' Ann. Inst. Henri Poncare Phys. Theor. '''47''' (1987), 221-261.
+
V. Georgiev, N. Visciglia, Decay estimate for the wave equation with potential, CPDE 28 (2003), 1325-1369.
* [GiVl1987b] J. Ginibre, G. Velo, ''Conformal invariance and time decay for nonlinear wave equations II.'' Ann. Inst. Henri Poncare Phys. Theor. '''47''' (1987), 263-276.
+
 
* [GiVl1989] J. Ginibre, G. Velo, ''Scattering theory in the energy space for a class of non-linear wave equations'', Comm. Math. Phys., '''123''' (1989), 535-573.
+
=====GhSau1990=====
* [GiVl1989b] J. Ginibre, G. Velo, ''Proprietes de lissage et existence de solutions pour l'equation de Benjamin-Ono generalisee'', C.R. Acad. Sci. Paris '''308''' (1989), 309-314.
+
J.M. Ghidaglia, J.C. Saut, ''On the initial value problem for the Davey-Stewartson system'', Nonlinearity '''3''' (1990), 475-506
* [GiVl1991] J. Ginibre, G. Velo, ''Smoothing properties and existence of solutions for the generalized Bejamin-Ono equations'', JDE '''93''' (1991), 150-232.
+
 
* [GiVl1992] J. Ginibre, G. Velo, ''Smoothing properties and retarded estimates for some dispersive evolution equations'', Comm. Math. Phys. '''144''' (1992), 163-188.
+
=====GhSau1992=====
* [GiVl1995] J. Ginibre, G. Velo, ''Generalized Strichartz Inequalities for the Wave Equation'', J. Func. Anal., '''133''' (1995), 50-68.
+
J.M. Ghidaglia, J.C. Saut, On the Zakharov-Schulman equations, Nonlinear Dispersive Waves, L. Debnath ed. World Scientific (1992),
* [GiVl1995b] J. Ginibre, G. Velo, ''Le probleme de Cauchy pour des EDP semi-lineaires periodiques en variables d'espace (d'apres Bourgain)'', Seminaire Bourbaki 796, Asterisque 237 (1985), 163-187.
+
 
* [GiVl2000] J. Ginibre, G. Velo, ''Long range scattering and modified wave operators for some Hartree type equations I'', Rev. Math. Phys. '''12''' (2000), 361-429.
+
=====Gi1994=====
* [GiVl2000b] J. Ginibre, G. Velo, ''Long range scattering and modified wave operators for some Hartree type equations II'', Ann. Henri Poincare '''1''' (2000), 753-800.
+
J. Ginibre, ''Scattering theory in the energy space for a class of nonlinear wave equations'', "Spectral and Scattering Theory and Application", Adv. Stud. Pure. Math. '''23 '''Kinokuniya Toyko (1994), 83-103.
* [GiVl2001] J. Ginibre, G. Velo, ''[http://arxiv.org/abs/math.AP/0003022 Long range scattering and modified wave operators for some Hartree type equations III]'', J. Diff. Eq. '''175''' (2001), 415-501.
+
 
* [GiVl-p2] J. Ginibre, G. Velo, ''[http://arxiv.org/abs/math.AP/0107087 Long range scattering and modified wave operators for the Wave-Schrodinger system]'', preprint.
+
=====Gi1994b=====
* [GiVl-p3] J. Ginibre, G. Velo, ''[http://www.arxiv.org/abs/math/0206267 Long range scattering and modified wave operators for the Maxwell-Schrodinger system I. The case of vanishing asymptotic magnetic field]'', preprint.
+
J. Ginibre, ''Equations d'Evolution Semilinearies: L'Equation de Schrodinger Non-lineaire'', Cours de DEA, Universite de Paris-Sud, Paris 1994
* [GiVl-p4] J. Ginibre, G. Velo, ''[http://arxiv.org/abs/math.AP/0302247 Long range scattering and modified wave operators for the Wave-Schrodinger system III]'', preprint.
+
 
* [GiVl-p5] J. Ginibre, G. Velo, ''Scattering Theory for the Schr"odinger Equation in some external time dependent magnetic fields'', preprint
+
=====Gi1995=====
* [GgMe1994] L. Glangetas, F. Merle, ''Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. II.'', CMP '''160''' (1994), 349-389.
+
J. Ginibre, ''An introduction to nonlinear Schrödinger equations''. Hokkaido University Technical Report Series in Mathematics 43 (1996) 80-128.
* [GgMe1994b] L. Glangetas, F. Merle, ''Existence of self-similar blow-up solutions for Zakharov equation in dimension two I.'' CMP '''160''' (1994) 173-215.
+
 
* [GgMe1995] L. Glangetas, F. Merle, A geometric approach to existence of blow-up solutions, Prepublications Analyse Numerique, Universite Paris VI (1995)
+
=====Gi1998=====
* [Gs1973] R.T. Glassey, ''On the asymptotic behavior of non-linear wave equations'', Trans. Amer. Math. Soc. '''183''' (1973) 187-200.
+
J. Ginibre, ''Le probléme de Cauchy pour des EDP semi-linéaires périodiques en variables d'espace (d'aprés Bourgain)'', Séminaire Bourbaki 1994/1995, Asterisque '''237''' (1996), Exp. 796, 163-187.
* [Gs1977] R.T. Glassey, ''On the blowing up of solutions to the Cauchy problem for nonlinear Schrodinger operators'', J. Math. Phys. '''8''' (1977), 1794-1797.
+
 
* [Gs1977b] R.T. Glassey, ''Asymptotic behavor of solutions to certain nonlinear Schrodinger-Hartree equations'', CMP '''53''' (1977), 9-18.
+
=====GiOz1993=====
* [Gs1981] R.T. Glassey, ''Existence in the large for \Box u = F(u) in two dimensions'', Math Z. '''178''' (1981), 233-261.
+
J. Ginibre, T. Ozawa, ''Long range scattering for nonlinear Schrodinger and Hartree equations in space dimension n>=2'', CMP '''151''' (1993) 619-645.
* <span style="mso-bookmark: Gs1981">[</span>Gs1981b] R.T. Glassey, ''Finite time blow-up for solutions of non-linear wave equations'', Math Z. '''177''' (1981), 323-340.
+
 
* [GsScf1988] R.T. Glassey, J. Schaeffer, ''Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data'', CMP '''119''' (1988), 353-384.
+
=====GiOzVl1994=====
* [GsScf1990] R.T. Glassey, J. Schaeffer, ''On the one and one-half dimensional relativistic Vlasov-Maxwell system'', Math. Meth. Appl. Sci. '''13''' (1990), 169-179.
+
J. Ginibre, T. Ozawa, G. Velo, ''On the existence of the wave operators for a class of nonlinear Schrodinger equations'', Ann. Inst. H. Poincare Pys. Theor. '''60''' (1994), 211-239.
* [GsSr1979] R.T. Glassey, W. A. Strauss, ''Decay of a Yang-Mills field coupled to a scalar field'', Comm. Math. Phys. '''67''' (1979), 51-67.
+
 
* [GsSr1979b] R.T. Glassey, W. A. Strauss, ''Decay of classical Yang-Mills fields'', Comm. Math. Phys. '''65''' (1979), 1-13.
+
=====GiSfVl1992=====
* [GsSr1984] R.T. Glassey, W.A. Strauss, ''Remarks on collisionless plasmas'', Contemp. Mathematics '''28''' (1984), 269-279.
+
J. Ginibre, A. Soffer, G. Velo, ''The global Cauchy problem for the critical non-linear wave equation'', J. Funct. Anal. '''110''' (1982), 96-130.
* [GsSr1986] R.T. Glassey, W.A. Strauss, ''Large velocities in the relativistic Vlasov-Maxwell equations'', J. Fac. Sci. Univ. Tokyo, Sect. IA, Math '''36''' (1986), 615-627.
+
 
* [GsSr1986b] R.T. Glassey, W.A. Strauss ''Singularity formation in collisionless plasma could only occur at high velocities'', Arch. Rat. Mech. Anal. 92 (1986), 56-90.
+
=====GiTs1989=====
* [GsSr1987] R.T. Glassey, W.A. Strauss, ''High velocity particles in collisionless plasma'', Math. Meth. in Appl. Sci. '''9''' (1987), 46-52.
+
J. Ginibre, Y. Tsutsumi, ''Uniqueness for the generalized Korteweg-de Vries equations'', SIAM J. Math. Anal. '''20''' (1989), 1388-1425.
* [GbScg-p] M. Goldberg, W. Schlag, ''[http://front.math.ucdavis.edu/math.AP/0306108 Dispersive estimates for Schrodinger operators in dimensions one and three]'', preprint.
+
 
* [Go1993] P. Godin, ''Lifespan of semilinear wave equations in two space dimensions'', CPDE '''18''' (1993), 895-916.
+
=====GiTsVl1990=====
* [Go1995] P. Godin, ''Global existence of solutions to some exterior radial quasilinear Cauchy-Dirichlet problems'', Amer. J. Math. '''117''' (1995), 1475-1505.
+
J. Ginibre, Y. Tsutsumi, G. Velo, ''Existence and uniqueness of solutions for the generalized Korteweg de Vries equation'', Math. Z. '''203''' (1990), 9-36.
* [Grf1990] J.M. Graf, ''Phase space analysis of the charge transfer model'', Helv. Physica Acta '''63''' (1990), 107-138.
+
 
* [Grn1998] E. Grenier, ''Semiclassical limit of the nonlinear Schrodinger equation in small time'', PAMS '''126''' (1998), 523-530.
+
=====GiTsVl1997=====
* [Gl1988] M. Grillakis, ''Linearized instability for nonlinear Schrödinger and Klein-Gordon equations.'' Comm. Pure Appl. Math. '''41 '''(1988), 747-774.
+
J. Ginibre, Y. Tsutsumi, G. Velo, ''On the Cauchy problem for the Zakharov system'', J. Funct. Anal. '''151''', (1997) 384-436.
* [Gl1990] M. Grillakis, ''Regularity and asymptotic behaviour of the wave equation with a critical non-linearity'', Ann. Math. '''132''' (1990), 485-509.
+
 
* [Gl1992] M. Grillakis, ''Regularity for the wave equation with a critical nonlinearity'', Comm. Pure Appl. Math., '''45''' (1992), 749-774.
+
=====GiVl1978=====
* [Gl1992b] M. Grillakis, ''Some remarks on the regularity of wave equations with a critical nonlinearity''. Nonlinear hyperbolic equations and field theory (Lake Como, 1990), 110-120, Pitman Res. Notes Math. Ser., '''253''', Longman Sci. Tech., Harlow, 1992.
+
J. Ginibre, G. Velo, ''Scattering theory in the energy space for a class of nonlinear Schrodinger equations'', J. Math. Pures Appl. '''64''' (1985), 363-401.
* [Gl1994] M. Grillakis, ''A priori estimates and regularity of nonlinear waves'', Proceed. Inter. Congress of Math. 1994, Birkhauser, 1187-1194.
+
 
* [Gl1998] M. Grillakis, ''Energy estimates and the wave map problem''. Comm. Partial Differential Equations '''23 '''(1998), 887-911.
+
=====GiVl1979=====
* [Gl1999] M. Grillakis, ''The wave map problem.'' Current developments in mathematics, 1997 (Cambridge, MA), 227-230, Int. Press, Boston, MA, 1999.
+
J. Ginibre, G. Velo, ''On a class of nonlinear Schrodinger equations'', J. Funct. Anal. '''32''' (1979), 1-71.
* [Gl-p] M. Grillakis, ''Classical solutions for the equivariant wave map in 1+2 dimensions'', to appear in Indiana Univ. Math. J.
+
 
* [GlSaSr1982] M. Grillakis, J. Shatah, W. Strauss, ''Stability theory of solitary waves in the presence of symmetry I'', J. Funct. Anal. '''74''' (1987), 160-197.
+
=====GiVl1980=====
* [GlSaSr1990] M. Grillakis, J. Shatah, W. Strauss, ''Stability theory of solitary waves in the presence of symmetry II'', J. Funct. Anal.'''94''' (1990), 308-348.
+
J. Ginibre, G. Velo, ''On a class of nonlinear Schrodinger equations with nonlocal interactions'', Math Z. '''170''' (1980), 109-136.
* [GriSan-p] P. Grinevich, P. Santini, ''[http://xxx.lanl.gov/abs/nlin.SI/0307026 The initial boundary value problem on the segment for the Nonlinear Schr\"odinger equation; the algebro-geometric approach. I]'', preprint.
+
 
* [Grs1966] L. Gross, ''The Cauchy problem for the coupled Maxwell and Dirac equations'', CPAM '''19''' (1966), 1-15.
+
=====GiVl1982=====
 +
J. Ginibre, G. Velo, ''The Cauchy problem for the O(N), CP(N-1), and GC(N,P) models'', Ann. Physics, '''142''' (1982), 393-415.
 +
 
 +
=====GiVl1982b=====
 +
J. Ginibre, G. Velo, ''The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge'', CMP '''82''' (1981/1982), 1-28.
 +
 
 +
=====GiVl1985=====
 +
J. Ginibre, G. Velo, ''Scattering Theory in the Energy Space for a Class of Nonlinear Schrodinger Equations'', J. Math. Pure Appl., '''64''' (1985), 363-401.
 +
 
 +
=====GiVl1985b=====
 +
J. Ginibre and G. Velo, ''Time decay of finite energy solutions of the non linear Klein-Gordon and Schr\"odinger equations'', Ann. Inst. Henri. Poincar\'e, '''43''' (1985), 399-442.
 +
 
 +
=====GiVl1985c=====
 +
J. Ginibre, G. Velo, ''The global Cauchy problem for the non linear Klein-Gordon equation'', Math. Z. '''189''' (1985), 487-505.
 +
 
 +
=====GiVl1985d=====
 +
J. Ginibre, G. Velo, ''The global Cauchy problem for the nonlinear Schrodinger equation revisited'', Annales I.H.P., Analyse non lineaire '''2''' (1985), 309-327.
 +
 
 +
=====GiVl1987=====
 +
J. Ginibre, G. Velo, ''Conformal invariance and time decay for nonlinear wave equations I.'' Ann. Inst. Henri Poncare Phys. Theor. '''47''' (1987), 221-261.
 +
 
 +
=====GiVl1987b=====
 +
J. Ginibre, G. Velo, ''Conformal invariance and time decay for nonlinear wave equations II.'' Ann. Inst. Henri Poncare Phys. Theor. '''47''' (1987), 263-276.
 +
 
 +
=====GiVl1989=====
 +
J. Ginibre, G. Velo, ''Scattering theory in the energy space for a class of non-linear wave equations'', Comm. Math. Phys., '''123''' (1989), 535-573.
 +
 
 +
=====GiVl1989b=====
 +
J. Ginibre, G. Velo, ''Proprietes de lissage et existence de solutions pour l'equation de Benjamin-Ono generalisee'', C.R. Acad. Sci. Paris '''308''' (1989), 309-314.
 +
 
 +
=====GiVl1991=====
 +
J. Ginibre, G. Velo, ''Smoothing properties and existence of solutions for the generalized Bejamin-Ono equations'', JDE '''93''' (1991), 150-232.
 +
 
 +
=====GiVl1992=====
 +
J. Ginibre, G. Velo, ''Smoothing properties and retarded estimates for some dispersive evolution equations'', Comm. Math. Phys. '''144''' (1992), 163-188.
 +
 
 +
=====GiVl1995=====
 +
J. Ginibre, G. Velo, ''Generalized Strichartz Inequalities for the Wave Equation'', J. Func. Anal., '''133''' (1995), 50-68.
 +
 
 +
=====GiVl1995b=====
 +
J. Ginibre, G. Velo, ''Le probleme de Cauchy pour des EDP semi-lineaires periodiques en variables d'espace (d'apres Bourgain)'', Seminaire Bourbaki 796, Asterisque 237 (1985), 163-187.
 +
 
 +
=====GiVl2000=====
 +
J. Ginibre, G. Velo, ''Long range scattering and modified wave operators for some Hartree type equations I'', Rev. Math. Phys. '''12''' (2000), 361-429.
 +
 
 +
=====GiVl2000b=====
 +
J. Ginibre, G. Velo, ''Long range scattering and modified wave operators for some Hartree type equations II'', Ann. Henri Poincare '''1''' (2000), 753-800.
 +
 
 +
=====GiVl2001=====
 +
J. Ginibre, G. Velo, ''[http://arxiv.org/abs/math.AP/0003022 Long range scattering and modified wave operators for some Hartree type equations III]'', J. Diff. Eq. '''175''' (2001), 415-501.
 +
 
 +
=====GiVl-p2=====
 +
J. Ginibre, G. Velo, ''[http://arxiv.org/abs/math.AP/0107087 Long range scattering and modified wave operators for the Wave-Schrodinger system]'', preprint.
 +
 
 +
=====GiVl-p3=====
 +
J. Ginibre, G. Velo, ''[http://www.arxiv.org/abs/math/0206267 Long range scattering and modified wave operators for the Maxwell-Schrodinger system I. The case of vanishing asymptotic magnetic field]'', preprint.
 +
 
 +
=====GiVl-p4=====
 +
J. Ginibre, G. Velo, ''[http://arxiv.org/abs/math.AP/0302247 Long range scattering and modified wave operators for the Wave-Schrodinger system III]'', preprint.
 +
 
 +
=====GiVl-p5=====
 +
J. Ginibre, G. Velo, ''Scattering Theory for the Schr"odinger Equation in some external time dependent magnetic fields'', preprint
 +
 
 +
=====GgMe1994=====
 +
L. Glangetas, F. Merle, ''Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. II.'', CMP '''160''' (1994), 349-389.
 +
 
 +
=====GgMe1994b=====
 +
L. Glangetas, F. Merle, ''Existence of self-similar blow-up solutions for Zakharov equation in dimension two I.'' CMP '''160''' (1994) 173-215.
 +
 
 +
=====GgMe1995=====
 +
L. Glangetas, F. Merle, A geometric approach to existence of blow-up solutions, Prepublications Analyse Numerique, Universite Paris VI (1995)
 +
 
 +
=====Gs1973=====
 +
R.T. Glassey, ''On the asymptotic behavior of non-linear wave equations'', Trans. Amer. Math. Soc. '''183''' (1973) 187-200.
 +
 
 +
=====Gs1977=====
 +
R.T. Glassey, ''On the blowing up of solutions to the Cauchy problem for nonlinear Schrodinger operators'', J. Math. Phys. '''8''' (1977), 1794-1797.
 +
 
 +
=====Gs1977b=====
 +
R.T. Glassey, ''Asymptotic behavor of solutions to certain nonlinear Schrodinger-Hartree equations'', CMP '''53''' (1977), 9-18.
 +
 
 +
=====Gs1981=====
 +
R.T. Glassey, ''Existence in the large for \Box u = F(u) in two dimensions'', Math Z. '''178''' (1981), 233-261.
 +
 
 +
=====Gs1981b=====
 +
R.T. Glassey, ''Finite time blow-up for solutions of non-linear wave equations'', Math Z. '''177''' (1981), 323-340.
 +
 
 +
=====GsScf1988=====
 +
R.T. Glassey, J. Schaeffer, ''Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data'', CMP '''119''' (1988), 353-384.
 +
 
 +
=====GsScf1990=====
 +
R.T. Glassey, J. Schaeffer, ''On the one and one-half dimensional relativistic Vlasov-Maxwell system'', Math. Meth. Appl. Sci. '''13''' (1990), 169-179.
 +
 
 +
=====GsSr1979=====
 +
R.T. Glassey, W. A. Strauss, ''Decay of a Yang-Mills field coupled to a scalar field'', Comm. Math. Phys. '''67''' (1979), 51-67.
 +
 
 +
=====GsSr1979b=====
 +
R.T. Glassey, W. A. Strauss, ''Decay of classical Yang-Mills fields'', Comm. Math. Phys. '''65''' (1979), 1-13.
 +
 
 +
=====GsSr1984=====
 +
R.T. Glassey, W.A. Strauss, ''Remarks on collisionless plasmas'', Contemp. Mathematics '''28''' (1984), 269-279.
 +
 
 +
=====GsSr1986=====
 +
R.T. Glassey, W.A. Strauss, ''Large velocities in the relativistic Vlasov-Maxwell equations'', J. Fac. Sci. Univ. Tokyo, Sect. IA, Math '''36''' (1986), 615-627.
 +
 
 +
=====GsSr1986b=====
 +
R.T. Glassey, W.A. Strauss ''Singularity formation in collisionless plasma could only occur at high velocities'', Arch. Rat. Mech. Anal. 92 (1986), 56-90.
 +
 
 +
=====GsSr1987=====
 +
R.T. Glassey, W.A. Strauss, ''High velocity particles in collisionless plasma'', Math. Meth. in Appl. Sci. '''9''' (1987), 46-52.
 +
 
 +
=====GbScg-p=====
 +
M. Goldberg, W. Schlag, ''[http://front.math.ucdavis.edu/math.AP/0306108 Dispersive estimates for Schrodinger operators in dimensions one and three]'', preprint.
 +
 
 +
=====Go1993=====
 +
P. Godin, ''Lifespan of semilinear wave equations in two space dimensions'', CPDE '''18''' (1993), 895-916.
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P. Godin, ''Global existence of solutions to some exterior radial quasilinear Cauchy-Dirichlet problems'', Amer. J. Math. '''117''' (1995), 1475-1505.
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J.M. Graf, ''Phase space analysis of the charge transfer model'', Helv. Physica Acta '''63''' (1990), 107-138.
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E. Grenier, ''Semiclassical limit of the nonlinear Schrodinger equation in small time'', PAMS '''126''' (1998), 523-530.
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M. Grillakis, ''Linearized instability for nonlinear Schrödinger and Klein-Gordon equations.'' Comm. Pure Appl. Math. '''41 '''(1988), 747-774.
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M. Grillakis, ''Regularity and asymptotic behaviour of the wave equation with a critical non-linearity'', Ann. Math. '''132''' (1990), 485-509.
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M. Grillakis, ''Regularity for the wave equation with a critical nonlinearity'', Comm. Pure Appl. Math., '''45''' (1992), 749-774.
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M. Grillakis, ''Some remarks on the regularity of wave equations with a critical nonlinearity''. Nonlinear hyperbolic equations and field theory (Lake Como, 1990), 110-120, Pitman Res. Notes Math. Ser., '''253''', Longman Sci. Tech., Harlow, 1992.
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M. Grillakis, ''A priori estimates and regularity of nonlinear waves'', Proceed. Inter. Congress of Math. 1994, Birkhauser, 1187-1194.
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M. Grillakis, ''Energy estimates and the wave map problem''. Comm. Partial Differential Equations '''23 '''(1998), 887-911.
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M. Grillakis, ''The wave map problem.'' Current developments in mathematics, 1997 (Cambridge, MA), 227-230, Int. Press, Boston, MA, 1999.
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M. Grillakis, ''Classical solutions for the equivariant wave map in 1+2 dimensions'', to appear in Indiana Univ. Math. J.
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M. Grillakis, J. Shatah, W. Strauss, ''Stability theory of solitary waves in the presence of symmetry I'', J. Funct. Anal. '''74''' (1987), 160-197.
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M. Grillakis, J. Shatah, W. Strauss, ''Stability theory of solitary waves in the presence of symmetry II'', J. Funct. Anal.'''94''' (1990), 308-348.
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P. Grinevich, P. Santini, ''[http://xxx.lanl.gov/abs/nlin.SI/0307026 The initial boundary value problem on the segment for the Nonlinear Schr\"odinger equation; the algebro-geometric approach. I]'', preprint.
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L. Gross, ''The Cauchy problem for the coupled Maxwell and Dirac equations'', CPAM '''19''' (1966), 1-15.
 
* [[http://xxx.lanl.gov/abs/math.AP/0006195 Gr-p]] A. Gruenrock, ''[http://xxx.lanl.gov/abs/math.AP/0006195 On the Cauchy and periodic boundary value problem for a certain class of derivative nonlinear Schroedinger equations]'', preprint.
 
* [[http://xxx.lanl.gov/abs/math.AP/0006195 Gr-p]] A. Gruenrock, ''[http://xxx.lanl.gov/abs/math.AP/0006195 On the Cauchy and periodic boundary value problem for a certain class of derivative nonlinear Schroedinger equations]'', preprint.
* [Gr-p2] A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0011157 Some local wellposedness results for nonlinear Schroedinger equations below L^2]'', preprint.
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+
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* [Gr-p4] A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0312238 An improved local well-posedness result for the modified KdV equation]'', preprint
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A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0011157 Some local wellposedness results for nonlinear Schroedinger equations below L^2]'', preprint.
* [Gu1980] C. Gu, ''On the Cauchy problem for harmonic maps defined on two-dimensional Minkowski space'', Comm. Pure Appl. Math., '''33''' (1980), 727-737.
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A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0108184 A bilinear Airy- estimate with application to gKdV-3]'', preprint
* [GusNaTsa-p] S. Gustafson, K. Nakanishi, T. Tsai, ''[http://arxiv.org/abs/math-ph/0308009 Asymptotic Stability and Completeness in the Energy space for Nonlinear Schrodinger equations with small solitary waves]'', preprint.
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* [GuoNkSr1996] Y. Guo, K. Nakamitsu, W. Strauss, ''Global finite energy solutions of the Maxwell-Schrodinger system'', CMP '''170''' (1986), 181-196.
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* [GuoTan1992] B. Guo, S. Tan, Cauchy problem for a generalized nonlinear dispersive equation, JPDE 5(4) (1992), 37-50
+
A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0312238 An improved local well-posedness result for the modified KdV equation]'', preprint
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=====Gu1980=====
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C. Gu, ''On the Cauchy problem for harmonic maps defined on two-dimensional Minkowski space'', Comm. Pure Appl. Math., '''33''' (1980), 727-737.
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C. Gu, ''On the harmonic maps from R^{1,1} to S^{1,1}'', Journal fur Mathematik '''346''' (1984), 101-109.
 +
 
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M. Guedda, ''[http://www.emis.de/journals/EJDE/Volumes/2003/53/abstr.html Blowup of solutions to semilinear wave equations]'', EJDE 2003 (2003), 53, 1-5.
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 +
=====GusNaTsa-p=====
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S. Gustafson, K. Nakanishi, T. Tsai, ''[http://arxiv.org/abs/math-ph/0308009 Asymptotic Stability and Completeness in the Energy space for Nonlinear Schrodinger equations with small solitary waves]'', preprint.
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Y. Guo, K. Nakamitsu, W. Strauss, ''Global finite energy solutions of the Maxwell-Schrodinger system'', CMP '''170''' (1986), 181-196.
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=====GuoTan1992=====
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B. Guo, S. Tan, Cauchy problem for a generalized nonlinear dispersive equation, JPDE 5(4) (1992), 37-50
  
 
<center>H</center>
 
<center>H</center>
  
* [Har1990] J. Harmse, On Lebesgue space estimates for the wave equation, Indiana Univ. Math. J. 30 (1990), 229-248.
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+
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* [Hm1972] H. Hasimoto, ''A soliton on a vortex filament'', Journal of fluids mechanics '''51''' (1972), 477-485.
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J. Harmse, On Lebesgue space estimates for the wave equation, Indiana Univ. Math. J. 30 (1990), 229-248.
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+
 
* [Ha1990] N. Hayashi, ''Global existence of small analytic solutions to nonlinear Schrodinger equations'', Duke Math J. '''60''' (1990), 717-727.
+
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* [Ha1993] N. Hayashi, ''The initial value problem for the derivative nonlinear Schrodinger equation in the energy space'', Nonlinear Anal. '''20''' (1993), 823-833.
+
A. Hasegawa, Y. Kodama, ''Nonlinear pulse propagation in a monomode dielectric guide'', IEEE J. Quantum Elec. '''23''' (1987) 510-524.
* [Ha1995] N. Hayashi, ''Global existence of small solutions to quadratic nonlinear wave equations in an exterior domain'', J. Funct. Anal. '''131''' (1995), 302-344.
+
 
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+
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* [Ha-p] N. Hayashi, ''Local existence in time of small solutions to the Ishimori system'', preprint.
+
H. Hasimoto, ''A soliton on a vortex filament'', Journal of fluids mechanics '''51''' (1972), 477-485.
* [HaKak1995] N. Hayashi, K. Kato, ''Regularity in time of solutions to nonlinear Schrodinger equations'', J. Funct. Anal. 128 (1995), 253-277.
+
 
* [HaKakNm1998] N. Hayashi, K. Kato, P.I. Naumkin, ''On the scattering in Gevrey classes for the subcritical Hartree and Schrodinger equations'', Ann. Scuola Norm. Sup. <span style="mso-bookmark: HaKakNm1998">Pisa</span><span style="mso-bookmark: HaKakNm1998"> Cl. Sci. (4) '''27''' (1998), 483-497</span>
+
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* <span style="mso-bookmark: HaKakNm1998">[HaMia1999] C. Miao, N. Hayashi, ''Global existence of small solutions to the genrealized derivative non-linear Schrodinger equation,'' Asymptotic Analysis 21 (1999), 133-147.</span>
+
A. Hassell, T. Tao, J. Wunsch. ''[http://arxiv.org/abs/math.AP/0312225 A Strichartz inequality for the Schrodinger equation on non-trapping asymptotically conic manifolds]'', preprint.
* <span style="mso-bookmark: HaKakNm1998">[HaHr-p] N. Hayashi, H. Hirata, ''Global existence of small solutions to nonlinear Schrodinger equations'', preprint.</span>
+
 
* <span style="mso-bookmark: HaKakNm1998">[HaKaiNm1998] N. Hayashi, E.I. Kaikina, P.I. Naumkin, ''On the scattering theory for the cubic nonlinear Schrodinger and Hartree type equations in one space dimension'', Hokkaido Math. J. '''27''' (1998), 651-667</span>
+
=====Ha1990=====
* <span style="mso-bookmark: HaKakNm1998">[HaKakOz1996] N. Hayashi; K, Kato; T. Ozawa, ''Dilation method and smoothing effects of solutions to the Benjamin-Ono equation.'' Proc. Roy. Soc. Edinburgh Sect. A '''126''' (1996), no. 2, 273-285.</span>
+
N. Hayashi, ''Global existence of small analytic solutions to nonlinear Schrodinger equations'', Duke Math J. '''60''' (1990), 717-727.
* <span style="mso-bookmark: HaKakNm1998">[</span>HaKakNm1998] N. Hayashi, K. Kato, P.I. Naumkin, ''On the scatterign in Gevrey classes for the subcritical Hartree and Schrodinger equations'', Ann. Scoul. Norm. Sup. Pisa '''27''' (1998), 483-497.
+
 
* [HaNkTs1986] N. Hayashi, K. Nakamitsu, M. Tsutsumi, ''On solutions to the initial value problem for the nonlinear Schrodinger equations in one space dimension'', Math Z. 192 (1986), 637-650.
+
=====Ha1993=====
* [HaNkTs1987] N. Hayashi, K. Nakamitsu, M. Tsutsumi, ''On solutions to the initial value problem for the nonlinear Schrodinger equations'', J. Funct. Anal. 71 (1987), 218-245.
+
N. Hayashi, ''The initial value problem for the derivative nonlinear Schrodinger equation in the energy space'', Nonlinear Anal. '''20''' (1993), 823-833.
* [HaNm1997] N. Hayashi, P.I. Naumkin, ''Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited.'' Discrete Contin. Dynam. Systems '''3''' (1997), no. 3, 383-400.
+
 
* [HaNm1998] N. Hayashi, P.I. Naumkin, ''Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations.'' Amer. J. Math. '''120''' (1998), 369-389.
+
=====Ha1995=====
* [HaNm1998b] N. Hayashi, P.I. Naumkin, ''Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential.'' SUT J. of Math. '''34''' (1998), 13-24.
+
N. Hayashi, ''Global existence of small solutions to quadratic nonlinear wave equations in an exterior domain'', J. Funct. Anal. '''131''' (1995), 302-344.
* [HaNm1998c] N. Hayashi, P.I. Naumkin, ''Large time asymptotics of solutions to the generalized Korteweg-de Vries equation.'' J. Funct. Anal. 159 (1998), no. 1, 110-136.
+
 
* [HaNm1998d] N. Hayashi, P.I. Naumkin, ''Asymptotics and scattering problem for the generalized Korteweg-de Vries equation.'' Harmonic analysis and nonlinear partial differential equations (Japanese) (Kyoto, 1997). Surikaisekikenkyusho Kokyuroku No. '''1059''' (1998), 101-109.
+
=====Ha2000=====
* [HaNm1999] N. Hayashi, P.I. Naumkin, ''Large time asymptotics of solutions to the generalized Benjamin-Ono equation.'' Trans. Amer. Math. Soc. '''351''' (1999), no. 1, 109-130.
+
N. Hayashi, ''Asymptotic behavior of time of solutions to nonlinear wave equation in an exterior domain''. CPDE '''25''' (2000), 423-456.
* [HaNm2001] N. Hayashi, P.I. Naumkin, ''Scattering theory and large time asymptotics of solutions to the Hartree type equations with a long range potential'', Hokkaido Math. J. '''30''' (2001), 137-161.
+
 
* [HaNm2001b] N. Hayashi, P.I. Naumkin, ''Asymptotic behaviour for Schrodinger equations with a quadratic nonlinearity in one space dimension'', EJDE '''2001''' (2001), 54, 1-18.
+
=====Ha-p=====
* [HaNm2002] N. Hayashi, P.I. Naumkin, ''On the reduction of the modified Benjamin-Ono equation to the cubic derivative nonlinear Schrödinger equation.'' Discrete Contin. Dyn. Syst. '''8''' (2002), no. 1, 237-255.
+
N. Hayashi, ''Local existence in time of small solutions to the Ishimori system'', preprint.
* [HaNmOz1998] N. Hayashi, T. Ozawa, P.I. Naumkin, ''Scattering theory for the Hartree type equation'', SIAM J. Math. Anal. '''29''' (1998), 1256-1267.
+
 
* [HaNmPi-p] N. Hayashi, P.I. Naumkin, P.-N. Pipolo, ''Smoothing effect for some derivative nonlinear Schrodinger equations'', preprint.
+
=====HaKak1995=====
* [HaNmSau1999] N. Hayashi, P.I. Naumkin, J.C. Saut, ''Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation''. Comm. Math. Phys. '''201''' (1999), no. 3, 577-590.
+
N. Hayashi, K. Kato, ''Regularity in time of solutions to nonlinear Schrodinger equations'', J. Funct. Anal. 128 (1995), 253-277.
* [HaNmSau1999b] N. Hayashi, P.I. Naumkin, J.C. Saut, ''Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation.'' Nonlinearity '''12''' (1999), no. 5, 1415-1425.
+
 
* [HaNmShiTon2004] N. Hayashi, P.I. Naumkin, A. Shimomura, S. Tonagawa, ''[http://www.emis.de/journals/EJDE/Volumes/2004/62/abstr.html Modified wave operators for nonlinear Schrodinger equations in one and two dimensions]'', Electron. J. Diff. Eqns., Vol. 2004(2004), No. 62, pp. 1-16.
+
=====HaKakNm1998=====
* [HaOz1988] N. Hayashi, T. Ozawa, ''Scattering theory in the weighted L^2(R^n) spaces for some Schrodinger equations'', Ann. IHP, Physique theorique '''48''' (1988), 17-37.
+
N. Hayashi, K. Kato, P.I. Naumkin, ''On the scattering in Gevrey classes for the subcritical Hartree and Schrodinger equations'', Ann. Scuola Norm. Sup. <span style="mso-bookmark: HaKakNm1998">Pisa</span><span style="mso-bookmark: HaKakNm1998"> Cl. Sci. (4) '''27''' (1998), 483-497</span>
* [HaOz1989] N. Hayashi, T. Ozawa, ''Smoothing effect for some Schrödinger equations.'' J. Funct. Anal. '''85''' (1989), no. 2, 307-348.
+
 
* [HaOz1992] N. Hayashi, T. Ozawa, ''On the derivative nonlinear Schrodinger equation'', Phys D '''55'''(1992), 14-36.
+
=====HaMia1999=====
* [HaOz1994] N. Hayashi, T. Ozawa, ''Finite energy solutions of nonlinear Schrodinger equations of derivative type'', SIAM J. Math. Anal. '''25''' (1994), 1488-1503.
+
C. Miao, N. Hayashi, ''Global existence of small solutions to the genrealized derivative non-linear Schrodinger equation,'' Asymptotic Analysis 21 (1999), 133-147.</span>
* [HaOz1994b] N. Hayashi, T. Ozawa, ''Remarks on nonlinear Schrodinger equations in one space dimension'', Diff. Integ. Eq. '''7''' (1994), 453-461.
+
 
* [HaOz1994c] N. Hayashi, T. Ozawa, ''Modified wave operators for the derivative nonlinear Schrodinger equation'', Math. Ann. '''298''' (1994), 557-576.
+
=====HaHr-p=====
* [HaOz1995] N. Hayashi, T. Ozawa, ''Schrodinger equations with nonlinearity of integral time'', Discrete and Continuous Dynamical Systems '''1''' (1995), 475-484.
+
N. Hayashi, H. Hirata, ''Global existence of small solutions to nonlinear Schrodinger equations'', preprint.</span>
* [HaSau1995] N. Hayashi, J.C. Saut, ''Global existence of small solutions to the Davey-Stewartson and the Ishimori systems'', DIE '''8''' (1995), 1657-1675.
+
 
* [HaTs1986] N. Hayashi, Y. Tsutsumi, ''L^infty(R^n) decay of classical solutions for nonlinear Schrodinger equations'', Proc. Royal Soc. Edin. '''104''' (1986), 309-327.
+
=====HaKaiNm1998=====
* [HaTs1987] N. Hayashi, Y. Tsutsumi, ''Scattering theory for Hartree type equations'', Ann. Inst. Henri Poincare, Phys. Th. '''47''' (1987), 187-213.
+
N. Hayashi, E.I. Kaikina, P.I. Naumkin, ''On the scattering theory for the cubic nonlinear Schrodinger and Hartree type equations in one space dimension'', Hokkaido Math. J. '''27''' (1998), 651-667</span>
* [HaTs1987b] N. Hayashi, Y. Tsutsumi, ''Remarks on the scattering problem for nonlinear Schrodinger equations'', LNM '''1285''', 162-168, Springer, Berlin-New York, 1987.
+
 
* [HaWl1987] N. Hayashi, W. von Wahl, ''On the global strong solutions of coupled Klein-Gordon-Schrodinger equations'', J. Math. Soc. Japan '''39''' (1987), 489-497.
+
=====HaKakOz1996=====
* [He1991] F. Helein, ''Regularity of weakly harmonic maps from a surface into a manifold with symmetries'', Manusc. Math. '''70''' (1991), 203-218.
+
N. Hayashi; K, Kato; T. Ozawa, ''Dilation method and smoothing effects of solutions to the Benjamin-Ono equation.'' Proc. Roy. Soc. Edinburgh Sect. A '''126''' (1996), no. 2, 273-285.</span>
* [Hi1998] K. Hidano, ''Nonlinear small data scattering for the wave equation in R^{4+1}'', J. Math. Soc. Japan '''50''' (1998), 253-292
+
 
* [Hi-p1] K. Hidano, S''mall data scattering and blow-up for the wave equation with a cubic convolution'', Funkcial. Ekvac., to appear.
+
=====HaKakNm1998=====
* [Hi-p2] K. Hidano, S''cattering and self-similar solutions for the wave equation'', to appear.
+
N. Hayashi, K. Kato, P.I. Naumkin, ''On the scatterign in Gevrey classes for the subcritical Hartree and Schrodinger equations'', Ann. Scoul. Norm. Sup. Pisa '''27''' (1998), 483-497.
* [Hi-p3] K. Hidano, ''Scattering for the non-linear wave equation in the finite energy and conformal charge space'', preprint.
+
 
* [Hi-p4] K. Hidano, ''An elementary proof of global or almost global existence for quasi-linear wave equations'', preprint.
+
=====HaNkTs1986=====
* [HiYk-p] K. Hidano, K. Yokoyama, ''A remark on the almost global existence theorems of Keel, Smith, and Sogge'', preprint.
+
N. Hayashi, K. Nakamitsu, M. Tsutsumi, ''On solutions to the initial value problem for the nonlinear Schrodinger equations in one space dimension'', Math Z. 192 (1986), 637-650.
* [HiYk-p2] K. Hidano, K. Yokoyama, A new proof of the global existence theorem of Klainerman, preprint.
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* [HimMis2001] A. Himonas, G. Misiolek, ''A priori estimates for Schrodinger type multipliers'', Illinois J. Math. '''45''' (2001), 631-640.
+
=====HaNkTs1987=====
* [Hog1985] S.J. Hogan, The fourth order evolution equation for deep-water gravity-capillary waves, Proc. Roy. Soc. London Ser. A. 402 (1985), 359-372.
+
N. Hayashi, K. Nakamitsu, M. Tsutsumi, ''On solutions to the initial value problem for the nonlinear Schrodinger equations'', J. Funct. Anal. 71 (1987), 218-245.
* [Hp1994] J. Hoppe, ''Some classical solutions of relativistic membrane equations in 4-space-time dimensions'', Phys. Lett. B '''329 1''' (1994), 10-14.
+
 
* [Ho1988] L. Hormander, ''L^1, L^\infty estimates for the wave operator'', Analyse math. et appl., Gauthier-Villars, Paris, 1988, 211-234
+
=====HaNm1997=====
* [Ho1997] L. Hormander, Lectures on nonlinear hyperbolic differential equations, Mathematiques & Applications, 26. Springer-Verlag, 1997.
+
N. Hayashi, P.I. Naumkin, ''Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited.'' Discrete Contin. Dynam. Systems '''3''' (1997), no. 3, 383-400.
* [Hg1995] A. Hoshiga, ''The initial value problems for quasilinear wave equations in two space dimensions with small data'', Adv. Math. Sci. Appl. '''5''' (1995), 67-89.
+
 
* [Hg1998] A. Hoshiga, ''The lifespan of solutions to quasilinear hyperbolic systems in the critical case'', Funkcial. Ekvac. '''41''' (1998), 167-188.
+
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* [HgKu2000] A. Hoshiga, H. Kubo, ''Global small amplitude solutions of nonlinear hyperbolic systems with a critical exponent under the null condition'', SIAM J. Math. Anal '''31''' (2000), 486-513.
+
N. Hayashi, P.I. Naumkin, ''Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations.'' Amer. J. Math. '''120''' (1998), 369-389.
* [Hs1997] T. Hoshiro, On weighted L^2 estimates of solutions to wave equations, J. Anal. Math. 72 (1997), 127—140.
+
 
* [Hs1999] T. Hoshiro, ''Mourre's method and smoothing properties of dispersive equations'', Comm. Math. Phys. '''202''' (1999), 255-265.
+
=====HaNm1998b=====
* [Hs-p] T. Hoshiro, Decay and regularity for dispersive equations with constant coefficients, preprint.
+
N. Hayashi, P.I. Naumkin, ''Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential.'' SUT J. of Math. '''34''' (1998), 13-24.
* [HuKaMar1977] T. Hughes, T. Kato, J. Marsden, ''Well-posed quasilinear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity'', Arch. Ration. Mech. Anal. (1977) '''63'''(3), 273-294.
+
 
* [HuoGuo-p] Z. Huo, B. Guo, The well-posedness of the Cauchy problem for the generalized nonlinear dispersive equation, preprint.
+
=====HaNm1998c=====
 +
N. Hayashi, P.I. Naumkin, ''Large time asymptotics of solutions to the generalized Korteweg-de Vries equation.'' J. Funct. Anal. 159 (1998), no. 1, 110-136.
 +
 
 +
=====HaNm1998d=====
 +
N. Hayashi, P.I. Naumkin, ''Asymptotics and scattering problem for the generalized Korteweg-de Vries equation.'' Harmonic analysis and nonlinear partial differential equations (Japanese) (Kyoto, 1997). Surikaisekikenkyusho Kokyuroku No. '''1059''' (1998), 101-109.
 +
 
 +
=====HaNm1999=====
 +
N. Hayashi, P.I. Naumkin, ''Large time asymptotics of solutions to the generalized Benjamin-Ono equation.'' Trans. Amer. Math. Soc. '''351''' (1999), no. 1, 109-130.
 +
 
 +
=====HaNm2001=====
 +
N. Hayashi, P.I. Naumkin, ''Scattering theory and large time asymptotics of solutions to the Hartree type equations with a long range potential'', Hokkaido Math. J. '''30''' (2001), 137-161.
 +
 
 +
=====HaNm2001b=====
 +
N. Hayashi, P.I. Naumkin, ''Asymptotic behaviour for Schrodinger equations with a quadratic nonlinearity in one space dimension'', EJDE '''2001''' (2001), 54, 1-18.
 +
 
 +
=====HaNm2002=====
 +
N. Hayashi, P.I. Naumkin, ''On the reduction of the modified Benjamin-Ono equation to the cubic derivative nonlinear Schrödinger equation.'' Discrete Contin. Dyn. Syst. '''8''' (2002), no. 1, 237-255.
 +
 
 +
=====HaNmOz1998=====
 +
N. Hayashi, T. Ozawa, P.I. Naumkin, ''Scattering theory for the Hartree type equation'', SIAM J. Math. Anal. '''29''' (1998), 1256-1267.
 +
 
 +
=====HaNmPi-p=====
 +
N. Hayashi, P.I. Naumkin, P.-N. Pipolo, ''Smoothing effect for some derivative nonlinear Schrodinger equations'', preprint.
 +
 
 +
=====HaNmSau1999=====
 +
N. Hayashi, P.I. Naumkin, J.C. Saut, ''Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation''. Comm. Math. Phys. '''201''' (1999), no. 3, 577-590.
 +
 
 +
=====HaNmSau1999b=====
 +
N. Hayashi, P.I. Naumkin, J.C. Saut, ''Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation.'' Nonlinearity '''12''' (1999), no. 5, 1415-1425.
 +
 
 +
=====HaNmShiTon2004=====
 +
N. Hayashi, P.I. Naumkin, A. Shimomura, S. Tonagawa, ''[http://www.emis.de/journals/EJDE/Volumes/2004/62/abstr.html Modified wave operators for nonlinear Schrodinger equations in one and two dimensions]'', Electron. J. Diff. Eqns., Vol. 2004(2004), No. 62, pp. 1-16.
 +
 
 +
=====HaOz1988=====
 +
N. Hayashi, T. Ozawa, ''Scattering theory in the weighted L^2(R^n) spaces for some Schrodinger equations'', Ann. IHP, Physique theorique '''48''' (1988), 17-37.
 +
 
 +
=====HaOz1989=====
 +
N. Hayashi, T. Ozawa, ''Smoothing effect for some Schrödinger equations.'' J. Funct. Anal. '''85''' (1989), no. 2, 307-348.
 +
 
 +
=====HaOz1992=====
 +
N. Hayashi, T. Ozawa, ''On the derivative nonlinear Schrodinger equation'', Phys D '''55'''(1992), 14-36.
 +
 
 +
=====HaOz1994=====
 +
N. Hayashi, T. Ozawa, ''Finite energy solutions of nonlinear Schrodinger equations of derivative type'', SIAM J. Math. Anal. '''25''' (1994), 1488-1503.
 +
 
 +
=====HaOz1994b=====
 +
N. Hayashi, T. Ozawa, ''Remarks on nonlinear Schrodinger equations in one space dimension'', Diff. Integ. Eq. '''7''' (1994), 453-461.
 +
 
 +
=====HaOz1994c=====
 +
N. Hayashi, T. Ozawa, ''Modified wave operators for the derivative nonlinear Schrodinger equation'', Math. Ann. '''298''' (1994), 557-576.
 +
 
 +
=====HaOz1995=====
 +
N. Hayashi, T. Ozawa, ''Schrodinger equations with nonlinearity of integral time'', Discrete and Continuous Dynamical Systems '''1''' (1995), 475-484.
 +
 
 +
=====HaSau1995=====
 +
N. Hayashi, J.C. Saut, ''Global existence of small solutions to the Davey-Stewartson and the Ishimori systems'', DIE '''8''' (1995), 1657-1675.
 +
 
 +
=====HaTs1986=====
 +
N. Hayashi, Y. Tsutsumi, ''L^infty(R^n) decay of classical solutions for nonlinear Schrodinger equations'', Proc. Royal Soc. Edin. '''104''' (1986), 309-327.
 +
 
 +
=====HaTs1987=====
 +
N. Hayashi, Y. Tsutsumi, ''Scattering theory for Hartree type equations'', Ann. Inst. Henri Poincare, Phys. Th. '''47''' (1987), 187-213.
 +
 
 +
=====HaTs1987b=====
 +
N. Hayashi, Y. Tsutsumi, ''Remarks on the scattering problem for nonlinear Schrodinger equations'', LNM '''1285''', 162-168, Springer, Berlin-New York, 1987.
 +
 
 +
=====HaWl1987=====
 +
N. Hayashi, W. von Wahl, ''On the global strong solutions of coupled Klein-Gordon-Schrodinger equations'', J. Math. Soc. Japan '''39''' (1987), 489-497.
 +
 
 +
=====He1991=====
 +
F. Helein, ''Regularity of weakly harmonic maps from a surface into a manifold with symmetries'', Manusc. Math. '''70''' (1991), 203-218.
 +
 
 +
=====Hi1998=====
 +
K. Hidano, ''Nonlinear small data scattering for the wave equation in R^{4+1}'', J. Math. Soc. Japan '''50''' (1998), 253-292
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 +
=====Hi-p1=====
 +
K. Hidano, S''mall data scattering and blow-up for the wave equation with a cubic convolution'', Funkcial. Ekvac., to appear.
 +
 
 +
=====Hi-p2=====
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K. Hidano, S''cattering and self-similar solutions for the wave equation'', to appear.
 +
 
 +
=====Hi-p3=====
 +
K. Hidano, ''Scattering for the non-linear wave equation in the finite energy and conformal charge space'', preprint.
 +
 
 +
=====Hi-p4=====
 +
K. Hidano, ''An elementary proof of global or almost global existence for quasi-linear wave equations'', preprint.
 +
 
 +
=====HiYk-p=====
 +
K. Hidano, K. Yokoyama, ''A remark on the almost global existence theorems of Keel, Smith, and Sogge'', preprint.
 +
 
 +
=====HiYk-p2=====
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K. Hidano, K. Yokoyama, A new proof of the global existence theorem of Klainerman, preprint.
 +
 
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=====HimMis2001=====
 +
A. Himonas, G. Misiolek, ''A priori estimates for Schrodinger type multipliers'', Illinois J. Math. '''45''' (2001), 631-640.
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=====Hog1985=====
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S.J. Hogan, The fourth order evolution equation for deep-water gravity-capillary waves, Proc. Roy. Soc. London Ser. A. 402 (1985), 359-372.
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=====Hp1994=====
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J. Hoppe, ''Some classical solutions of relativistic membrane equations in 4-space-time dimensions'', Phys. Lett. B '''329 1''' (1994), 10-14.
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=====Ho1988=====
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L. Hormander, ''L^1, L^\infty estimates for the wave operator'', Analyse math. et appl., Gauthier-Villars, Paris, 1988, 211-234
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=====Ho1997=====
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L. Hormander, Lectures on nonlinear hyperbolic differential equations, Mathematiques & Applications, 26. Springer-Verlag, 1997.
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=====Hg1995=====
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A. Hoshiga, ''The initial value problems for quasilinear wave equations in two space dimensions with small data'', Adv. Math. Sci. Appl. '''5''' (1995), 67-89.
 +
 
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=====Hg1998=====
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A. Hoshiga, ''The lifespan of solutions to quasilinear hyperbolic systems in the critical case'', Funkcial. Ekvac. '''41''' (1998), 167-188.
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=====HgKu2000=====
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A. Hoshiga, H. Kubo, ''Global small amplitude solutions of nonlinear hyperbolic systems with a critical exponent under the null condition'', SIAM J. Math. Anal '''31''' (2000), 486-513.
 +
 
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=====Hs1997=====
 +
T. Hoshiro, On weighted L^2 estimates of solutions to wave equations, J. Anal. Math. 72 (1997), 127\u2014140.
 +
 
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=====Hs1999=====
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T. Hoshiro, ''Mourre's method and smoothing properties of dispersive equations'', Comm. Math. Phys. '''202''' (1999), 255-265.
 +
 
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=====Hs-p=====
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T. Hoshiro, Decay and regularity for dispersive equations with constant coefficients, preprint.
 +
 
 +
=====HuKaMar1977=====
 +
T. Hughes, T. Kato, J. Marsden, ''Well-posed quasilinear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity'', Arch. Ration. Mech. Anal. (1977) '''63'''(3), 273-294.
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=====HuoGuo-p=====
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Z. Huo, B. Guo, The well-posedness of the Cauchy problem for the generalized nonlinear dispersive equation, preprint.
  
 
<center>I</center>
 
<center>I</center>
  
* [Ic1984] W. Ichinose, Some remarks on the Cauchy problem for Schrodinger type equations, Osaka J. Math 21 (1984), 565-581.
+
 
* [Ik1968] M. Ikawa, ''Mixed problems for hyperbolic equations of second order'', J. Math. Soc. Japan '''20''' (1968), 580-608.
+
=====Ic1984=====
* [Ik1982] M. Ikawa, ''Decay of solutions of the wave equations to the exterior of two convex bodies'', Osaka J. Math. '''19''' (1982), 459-509.
+
W. Ichinose, Some remarks on the Cauchy problem for Schrodinger type equations, Osaka J. Math 21 (1984), 565-581.
* [Ik1998] M. Ikawa, ''Decay of solutions to the wave equation to the exterior of several convex bodies'', Ann. Inst. Fourier (Grenoble), 38 (1998), 113-146.
+
 
* [IonKn-p] A. Ionescu. C. Kenig, L^p Carleman inequalities and uniqueness of solutions of nonlinear Schrodinger equations
+
=====Ik1968=====
* [Io1986] R.J. Iorio Jr., ''On the Cauchy problem for the Benjamin-Ono equation'', CPDE '''11''' (1986), 1031-1181.
+
M. Ikawa, ''Mixed problems for hyperbolic equations of second order'', J. Math. Soc. Japan '''20''' (1968), 580-608.
* [IoNu1998] R. J. Iorio Jr., W.V.L. Nunes, ''On equations of KP-type'', Proc. Roy. Soc. Edinburgh A. '''128''' (1998), 725-743.
+
 
* [Isk1993] V. Isakov, Carleman type estimates in an anisotropic case and applications, JDE 105 (1993), 217—238.
+
=====Ik1982=====
* [IsLopMj-p] P. Isaza, J. Lopez, J. Mejia, ''The Cauchy problem for the Kadomtsev-Petviashvili (KPII) equation in three space dimensions'', preprint
+
M. Ikawa, ''Decay of solutions of the wave equations to the exterior of two convex bodies'', Osaka J. Math. '''19''' (1982), 459-509.
* [IsMj2001] P. Isaza, J. Mejia, ''Local and global Cauchy problems for the KP-II equations in Sobolev spaces of negative index'', CPDE '''26''' (2001), 1027-1054
+
 
* [IsMj2003] P. Isaza, J. Mejia, ''Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative index'', EJDE 2003 (2003) 68, 1-12.
+
=====Ik1998=====
* [IsMjStb1994] P. Isaza, J. Mejia, V. Stallbohm, ''A regularity theorem for the Kadomtsev-Petviashvili equation with periodic boundary conditions'', Nonlinear Anal. '''23''' (1994), 683-687.
+
M. Ikawa, ''Decay of solutions to the wave equation to the exterior of several convex bodies'', Ann. Inst. Fourier (Grenoble), 38 (1998), 113-146.
* [IsMjStb1995] P. Isaza, J. Mejia, V. Stallbohm, ''Local solution for the Kadomtsev-Petviashvili equation in R^2'',J. Math. Anal. Appl. '''196''' (1995), no. 2, 566-587.
+
 
* [IsMjStb1997] P. Isaza, J. Mejia, V. Stallbohm, ''Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation.''Rev. Colombiana Mat. '''31''' (1997), no. 1, 37-61.
+
=====IonKn-p=====
* [IsMjStb2001] P. Isaza, J. Mejia, V. Stallbohm, ''El problema de Cauchy para la ecuacion de Kadomtsev-Petviashvili (KP-II) en espacios de Sobolev H^s, s > 0'', DIE '''14''' (2001) 529-557.
+
A. Ionescu. C. Kenig, L^p Carleman inequalities and uniqueness of solutions of nonlinear Schrodinger equations
* [IbLie-p] J. Isenberg, S. Liebling, [http://arXiv.org/abs/math-ph/0106029 Singularity formulation in 2+1 Wave maps], preprint.
+
 
* [Im1984] Y. Ishimori, ''Multivortex solutions of a two-dimensional nonlinear wave equation'', Progr. Theoret. Phys. '''72''' (1984), 33-37.
+
=====Io1986=====
 +
R.J. Iorio Jr., ''On the Cauchy problem for the Benjamin-Ono equation'', CPDE '''11''' (1986), 1031-1181.
 +
 
 +
=====IoNu1998=====
 +
R. J. Iorio Jr., W.V.L. Nunes, ''On equations of KP-type'', Proc. Roy. Soc. Edinburgh A. '''128''' (1998), 725-743.
 +
 
 +
=====Isk1993=====
 +
V. Isakov, Carleman type estimates in an anisotropic case and applications, JDE 105 (1993), 217\u2014238.
 +
 
 +
=====IsLopMj-p=====
 +
P. Isaza, J. Lopez, J. Mejia, ''The Cauchy problem for the Kadomtsev-Petviashvili (KPII) equation in three space dimensions'', preprint
 +
 
 +
=====IsMj2001=====
 +
P. Isaza, J. Mejia, ''Local and global Cauchy problems for the KP-II equations in Sobolev spaces of negative index'', CPDE '''26''' (2001), 1027-1054
 +
 
 +
=====IsMj2003=====
 +
P. Isaza, J. Mejia, ''Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative index'', EJDE 2003 (2003) 68, 1-12.
 +
 
 +
=====IsMjStb1994=====
 +
P. Isaza, J. Mejia, V. Stallbohm, ''A regularity theorem for the Kadomtsev-Petviashvili equation with periodic boundary conditions'', Nonlinear Anal. '''23''' (1994), 683-687.
 +
 
 +
=====IsMjStb1995=====
 +
P. Isaza, J. Mejia, V. Stallbohm, ''Local solution for the Kadomtsev-Petviashvili equation in R^2'',J. Math. Anal. Appl. '''196''' (1995), no. 2, 566-587.
 +
 
 +
=====IsMjStb1997=====
 +
P. Isaza, J. Mejia, V. Stallbohm, ''Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation.''Rev. Colombiana Mat. '''31''' (1997), no. 1, 37-61.
 +
 
 +
=====IsMjStb2001=====
 +
P. Isaza, J. Mejia, V. Stallbohm, ''El problema de Cauchy para la ecuacion de Kadomtsev-Petviashvili (KP-II) en espacios de Sobolev H^s, s > 0'', DIE '''14''' (2001) 529-557.
 +
 
 +
=====IbLie-p=====
 +
J. Isenberg, S. Liebling, [http://arXiv.org/abs/math-ph/0106029 Singularity formulation in 2+1 Wave maps], preprint.
 +
 
 +
=====Im1984=====
 +
Y. Ishimori, ''Multivortex solutions of a two-dimensional nonlinear wave equation'', Progr. Theoret. Phys. '''72''' (1984), 33-37.
  
 
<center>J</center>
 
<center>J</center>
  
* [Je1980] A. Jensen, ''Spectral properties of Schrodinger operators and time decay of the wave functions Results in L^2(R^m), m > 5'', Duke Math J. '''47''' (1980), 57-80.
+
 
* [Je1984] A. Jensen, ''Spectral properties of Schrodinger operators and time decay of the wave functions Results in L^2(R^4)'', JMAA '''101''' (1984), 397-422.
+
=====Je1980=====
* [JeKa1980] A. Jensen, T. Kato, ''Spectral properties of Schrodinger operators and time decay of the wave functions'', Duke Math J. '''46''' (1979), 583-611.
+
A. Jensen, ''Spectral properties of Schrodinger operators and time decay of the wave functions Results in L^2(R^m), m > 5'', Duke Math J. '''47''' (1980), 57-80.
* [JeNc2001] A. Jensen, G. Nenciu, A unified approach to resolvent expansions at thresholds, Rev. Math. Phys. 13 (2001), 717-754.
+
 
* [JeYa2002] A. Jensen, K. Yajima, A remark on L^p boundedness of wave operators for two-dimensional Schrodinger operators, CMP '''225''' (2002), 633-637.
+
=====Je1984=====
* [Je1986] A. Jensen, ''Commutator methods and a smoothing property of the Schrodinger evolution group'', Math. Z. '''191''' (1986), 53-59.
+
A. Jensen, ''Spectral properties of Schrodinger operators and time decay of the wave functions Results in L^2(R^4)'', JMAA '''101''' (1984), 397-422.
* [JiZz2003] H. Jiao, Z. Zhou, An elementary proof of the blowup for a semilinear wave equation in high space dimensions, JDE 189 (2003), 355-365.
+
 
* [Jo1979] F. John, ''Blow-up of solutions of non-linear wave equations in three dimensions'', Manuscript. Math. '''28''' (1979), 235-268.
+
=====JeKa1980=====
* [Jo1981] F. John, ''Blow-up for quasilinear wave equations in three space dimensions'', CPAM '''34''' (1981), 29-51.
+
A. Jensen, T. Kato, ''Spectral properties of Schrodinger operators and time decay of the wave functions'', Duke Math J. '''46''' (1979), 583-611.
* [Jo1985] F. John, Blowup of radial solutions of u_tt = c^2(u_t) Delta u in three space dimensions, Mat. Appl. Comput. 4 (1985), 3-18.
+
 
* [Jo1987] F. John, ''Existence for large times of strict solutions to nonlinear wave equations in three space dimension for small data'', CPAM '''40''' (1987), 79-109.
+
=====JeNc2001=====
* [Jo1990] F. John, Nonlinear wave equations, formulation of singularities, University Lecture Series, AMS 1990.
+
A. Jensen, G. Nenciu, A unified approach to resolvent expansions at thresholds, Rev. Math. Phys. 13 (2001), 717-754.
* [JoKl1984] F. John, S. Klainerman, ''Almost global existence to nonlinear wave equations in three space dimensions'', CPAM '''37''' (1984), 443-455.
+
 
* [Jor1961] K. Jorgens, ''Das Anfangswertproblem im Grossen fur eine Klasse nichtlinearer Wellengleichungen'', Math. Z. '''77''' (1961), 295-308.
+
=====JeYa2002=====
* [JouSfSo1991] J.L. Journe, A. Soffer, C. Sogge, ''Decay estimates for Schrodinger operators'', CPAM '''44''' (1991), 573-604.
+
A. Jensen, K. Yajima, A remark on L^p boundedness of wave operators for two-dimensional Schrodinger operators, CMP '''225''' (2002), 633-637.
 +
 
 +
=====Je1986=====
 +
A. Jensen, ''Commutator methods and a smoothing property of the Schrodinger evolution group'', Math. Z. '''191''' (1986), 53-59.
 +
 
 +
=====JiZz2003=====
 +
H. Jiao, Z. Zhou, An elementary proof of the blowup for a semilinear wave equation in high space dimensions, JDE 189 (2003), 355-365.
 +
 
 +
=====Jo1979=====
 +
F. John, ''Blow-up of solutions of non-linear wave equations in three dimensions'', Manuscript. Math. '''28''' (1979), 235-268.
 +
 
 +
=====Jo1981=====
 +
F. John, ''Blow-up for quasilinear wave equations in three space dimensions'', CPAM '''34''' (1981), 29-51.
 +
 
 +
=====Jo1985=====
 +
F. John, Blowup of radial solutions of u_tt = c^2(u_t) Delta u in three space dimensions, Mat. Appl. Comput. 4 (1985), 3-18.
 +
 
 +
=====Jo1987=====
 +
F. John, ''Existence for large times of strict solutions to nonlinear wave equations in three space dimension for small data'', CPAM '''40''' (1987), 79-109.
 +
 
 +
=====Jo1990=====
 +
F. John, Nonlinear wave equations, formulation of singularities, University Lecture Series, AMS 1990.
 +
 
 +
=====JoKl1984=====
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F. John, S. Klainerman, ''Almost global existence to nonlinear wave equations in three space dimensions'', CPAM '''37''' (1984), 443-455.
 +
 
 +
=====Jor1961=====
 +
K. Jorgens, ''Das Anfangswertproblem im Grossen fur eine Klasse nichtlinearer Wellengleichungen'', Math. Z. '''77''' (1961), 295-308.
 +
 
 +
=====JouSfSo1991=====
 +
J.L. Journe, A. Soffer, C. Sogge, ''Decay estimates for Schrodinger operators'', CPAM '''44''' (1991), 573-604.
  
 
<center>K</center>
 
<center>K</center>
  
* [KdPv1970] B.B. Kadomtsev, V.I. Petviashvili, ''On the stability of solitary waves in weakly dispersive media'', Soviet Phys. Dokl. 15 (1970), 539-541.
+
 
* [Kt1990] L. Kapitanski, ''Some Generalizations of the Strichartz-Brenner Inequality'', Leningrad Math. J., '''1''' (1990), 693-676.
+
=====KdPv1970=====
* [Kt1992] L. Kapitanski, ''The Cauchy problem for semilinear wave equations II and III.'', J. Soviet Math. '''62''' (1992), 2746-2777.
+
B.B. Kadomtsev, V.I. Petviashvili, ''On the stability of solitary waves in weakly dispersive media'', Soviet Phys. Dokl. 15 (1970), 539-541.
* [Kt1994] L. Kapitanski, ''Weak and Yet Weaker Solutions of Semilinear Wave Equations'', Comm. Part. Diff. Eq., '''19''' (1994), 1629-1676.
+
 
* [Kt1994b] L. Kapitanski, ''Global and unique weak solutions of nonlinear wave equations'', Math. Res. Letters, '''1''' (1994), 211-223.
+
=====Kt1990=====
* [Kp1993] T. Kappeler, ''Solutions to the Korteweg-de Vries equation with irregular initial profile, ''Comm. Partial Differential Equations 11 (1986), no. 9, 927-945.
+
L. Kapitanski, ''Some Generalizations of the Strichartz-Brenner Inequality'', Leningrad Math. J., '''1''' (1990), 693-676.
* [KpMrTp-p] T. Kappeler, C, Mohr, P. Topalov, ''Birkhoff coordinates for KdV on phase spaces of distributions'', preprint
+
 
* [KpTp-p] T. Kappeler, P. Topalov, ''Global well-posedness of KdV in H^{-1}(T,R)'', preprint
+
=====Kt1992=====
* [KpTp-p2] T. Kappeler, P. Topalov, ''Global well-posedness of mKdV in L^2(T,R)'', preprint
+
L. Kapitanski, ''The Cauchy problem for semilinear wave equations II and III.'', J. Soviet Math. '''62''' (1992), 2746-2777.
* [Ky1993] S. Katayama, ''Global existence for systems of nonlinear wave equations in two space dimensions'', Publ. RIMS Kyoto U. '''29''' (1993), 1021-1041.
+
 
* [KyTs1994] S. Katayama, Y. Tsutsumi, ''Global existence of solutions for nonlinear Schrödinger equations in one space dimension''. Comm. Partial Differential Equations '''19''' (1994), 1971-1997.
+
=====Kt1994=====
* [KakOg-p] K. Kato, T. Ogawa, ''Analyticity and smoothing effect for the Korteweg de Vries equation with single point singularity'', preprint.
+
L. Kapitanski, ''Weak and Yet Weaker Solutions of Semilinear Wave Equations'', Comm. Part. Diff. Eq., '''19''' (1994), 1629-1676.
* [Ka1975] T. Kato, ''Quasilinear equations of evolution, with applications to partial differential equations'', Springer Lecture Notes in Math. '''448''' (1975), 27-50
+
 
* [Ka1979] T. Kato, ''On the Korteweg-de Vries equation'', Manuscripta Math. '''29''' (1979), 89-99
+
=====Kt1994b=====
* [Ka1979b] T. Kato, ''The Cauchy problem for the Korteweg-de Vries equation'', Pitman Research Notes in Math. '''53 '''(1979), 293-307
+
L. Kapitanski, ''Global and unique weak solutions of nonlinear wave equations'', Math. Res. Letters, '''1''' (1994), 211-223.
* [Ka1980] T. Kato, ''Blow-up of solutions of some nonlinear hyperbolic equations'', Comm. Pure Appl. Math. '''33 '''(1980), 501-505.
+
 
* [Ka1983] T. Kato, ''On the Cauchy problem for the (generalized) Korteweg-de Vries equation'', Adv. in Math. Suppl. Stud., Stud. in Appl. Math. '''8''' (1983), 93-128.
+
=====Kp1993=====
* [Ka1986] T. Kato, ''On nonlinear Schrodinger equations'', Ann. Inst. H. Poincare Phys. Theor. '''46''' (1986), 113-129.
+
T. Kappeler, ''Solutions to the Korteweg-de Vries equation with irregular initial profile, ''Comm. Partial Differential Equations 11 (1986), no. 9, 927-945.
* [Ka1989] T. Kato, ''Nonlinear Schrödinger equation, Schrödinger operators'', Lecture Notes in Physics, 345 (H. Holden and A. Jensen, eds.), Springer-Verlag, 1989, pp. 218-263.
+
 
* [Ka1994] T. Kato, ''An L^{q,r} theory for nonlinear Schrodinger equations'', Spectral and scattering theory and applications, Adv. Stud. Pure Math. '''23''' (1994), 223-238.
+
=====KpMrTp-p=====
* [Ka1995] T. Kato, ''On nonlinear Schrodinger equations II. H^s solutions and unconditional well-posedness'', J. Anal. Math. '''67''' (1995), 281-306.
+
T. Kappeler, C, Mohr, P. Topalov, ''Birkhoff coordinates for KdV on phase spaces of distributions'', preprint
* [KaPo1988] T. Kato, G. Ponce, ''Commutator estimates and the Euler and Navier-Stokes equations'', CPAM '''41''' (1988), 891-907
+
 
* [KaYa1989] T. Kato, K. Yajima, Some examples of smooth operators and the associated smoothing effect, Rev. Math. Phys. 1 (1989), 481-496.
+
=====KpTp-p=====
* [KauNe1978] D. J. Kaup, A. C. Newell, ''An exact solution for a derivative nonlinear Schrodinger equation'', J. Math. Phys. '''19''' (1978), 798-801.
+
T. Kappeler, P. Topalov, ''Global well-posedness of KdV in H^{-1}(T,R)'', preprint
* [Kav1987] O. Kavian, ''A remark on the blowing up of solutions to the Cauchy problem for nonlinear Schrodinger equations'', TAMS '''299''' (1987), 193-203.
+
 
* [Ke1997] M. Keel, [http://www.math.caltech.edu/papers/paper.ps ''Global existence for critical power Yang-Mills-Higgs equations in '''''R'''''^{3+1}''], Commun. in PDE '''22''' (1997), 1167–1227
+
=====KpTp-p2=====
* [KeSmhSo2000] M. Keel, H. Smith, C. Sogge, ''[http://www.math.caltech.edu/papers/keel.dvi On global existence for nonlinear wave equations outside convex obstacles]'', Am. J. Math '''122''' (2000), 805–842.
+
T. Kappeler, P. Topalov, ''Global well-posedness of mKdV in L^2(T,R)'', preprint
* [KeSmhSo-p] M. Keel, H. Smith, C. Sogge, ''[http://arxiv.org/abs/math/0009237 On global existence for a quasilinear wave equation outside of star-shaped domains]'', preprint.
+
 
* [KeSmhSo-p2] M. Keel, H. Smith, C. Sogge, ''[http://arXiv.org/abs/math.AP/0108016 Almost global existence for some semilinear wave equations]'', J. D’Analyse, 87 (2002), 265-279.
+
=====Ky1993=====
* [KeSmhSo-p3] M. Keel, H. Smith, C. Sogge, ''[http://arXiv.org/abs/math.AP/0110321 Almost global existence for quasilinear wave equations in three space dimensions]'', preprint.
+
S. Katayama, ''Global existence for systems of nonlinear wave equations in two space dimensions'', Publ. RIMS Kyoto U. '''29''' (1993), 1021-1041.
 +
 
 +
=====KyTs1994=====
 +
S. Katayama, Y. Tsutsumi, ''Global existence of solutions for nonlinear Schrödinger equations in one space dimension''. Comm. Partial Differential Equations '''19''' (1994), 1971-1997.
 +
 
 +
=====KakOg-p=====
 +
K. Kato, T. Ogawa, ''Analyticity and smoothing effect for the Korteweg de Vries equation with single point singularity'', preprint.
 +
 
 +
=====Ka1975=====
 +
T. Kato, ''Quasilinear equations of evolution, with applications to partial differential equations'', Springer Lecture Notes in Math. '''448''' (1975), 27-50
 +
 
 +
=====Ka1979=====
 +
T. Kato, ''On the Korteweg-de Vries equation'', Manuscripta Math. '''29''' (1979), 89-99
 +
 
 +
=====Ka1979b=====
 +
T. Kato, ''The Cauchy problem for the Korteweg-de Vries equation'', Pitman Research Notes in Math. '''53 '''(1979), 293-307
 +
 
 +
=====Ka1980=====
 +
T. Kato, ''Blow-up of solutions of some nonlinear hyperbolic equations'', Comm. Pure Appl. Math. '''33 '''(1980), 501-505.
 +
 
 +
=====Ka1983=====
 +
T. Kato, ''On the Cauchy problem for the (generalized) Korteweg-de Vries equation'', Adv. in Math. Suppl. Stud., Stud. in Appl. Math. '''8''' (1983), 93-128.
 +
 
 +
=====Ka1986=====
 +
T. Kato, ''On nonlinear Schrodinger equations'', Ann. Inst. H. Poincare Phys. Theor. '''46''' (1986), 113-129.
 +
 
 +
=====Ka1989=====
 +
T. Kato, ''Nonlinear Schrödinger equation, Schrödinger operators'', Lecture Notes in Physics, 345 (H. Holden and A. Jensen, eds.), Springer-Verlag, 1989, pp. 218-263.
 +
 
 +
=====Ka1994=====
 +
T. Kato, ''An L^{q,r} theory for nonlinear Schrodinger equations'', Spectral and scattering theory and applications, Adv. Stud. Pure Math. '''23''' (1994), 223-238.
 +
 
 +
=====Ka1995=====
 +
T. Kato, ''On nonlinear Schrodinger equations II. H^s solutions and unconditional well-posedness'', J. Anal. Math. '''67''' (1995), 281-306.
 +
 
 +
=====KaPo1988=====
 +
T. Kato, G. Ponce, ''Commutator estimates and the Euler and Navier-Stokes equations'', CPAM '''41''' (1988), 891-907
 +
 
 +
=====KaYa1989=====
 +
T. Kato, K. Yajima, Some examples of smooth operators and the associated smoothing effect, Rev. Math. Phys. 1 (1989), 481-496.
 +
 
 +
=====KauNe1978=====
 +
D. J. Kaup, A. C. Newell, ''An exact solution for a derivative nonlinear Schrodinger equation'', J. Math. Phys. '''19''' (1978), 798-801.
 +
 
 +
=====Kav1987=====
 +
O. Kavian, ''A remark on the blowing up of solutions to the Cauchy problem for nonlinear Schrodinger equations'', TAMS '''299''' (1987), 193-203.
 +
 
 +
=====Ke1997=====
 +
M. Keel, [http://www.math.caltech.edu/papers/paper.ps ''Global existence for critical power Yang-Mills-Higgs equations in '''''R'''''^{3+1}''], Commun. in PDE '''22''' (1997), 1167\u20131227
 +
 
 +
=====KeSmhSo2000=====
 +
M. Keel, H. Smith, C. Sogge, ''[http://www.math.caltech.edu/papers/keel.dvi On global existence for nonlinear wave equations outside convex obstacles]'', Am. J. Math '''122''' (2000), 805\u2013842.
 +
 
 +
=====KeSmhSo-p=====
 +
M. Keel, H. Smith, C. Sogge, ''[http://arxiv.org/abs/math/0009237 On global existence for a quasilinear wave equation outside of star-shaped domains]'', preprint.
 +
 
 +
=====KeSmhSo-p2=====
 +
M. Keel, H. Smith, C. Sogge, ''[http://arXiv.org/abs/math.AP/0108016 Almost global existence for some semilinear wave equations]'', J. D\u2019Analyse, 87 (2002), 265-279.
 +
 
 +
=====KeSmhSo-p3=====
 +
M. Keel, H. Smith, C. Sogge, ''[http://arXiv.org/abs/math.AP/0110321 Almost global existence for quasilinear wave equations in three space dimensions]'', preprint.
 
* [[http://www.math.ucla.edu/~tao/preprints/strichartz.dvi KeTa1998]] M. Keel, T. Tao, ''[http://www.press.jhu.edu/journals/american_journal_of_mathematics/toc/ajm120.5_tex.html#120.5keel Endpoint Strichartz Estimates]'', Amer. J. Math., '''120''' (1998), 955-980
 
* [[http://www.math.ucla.edu/~tao/preprints/strichartz.dvi KeTa1998]] M. Keel, T. Tao, ''[http://www.press.jhu.edu/journals/american_journal_of_mathematics/toc/ajm120.5_tex.html#120.5keel Endpoint Strichartz Estimates]'', Amer. J. Math., '''120''' (1998), 955-980
 
* [[http://xxx.lanl.gov/abs/math/?9807171 KeTa1998b]] M. Keel, T. Tao, ''[http://xxx.lanl.gov/abs/math/?9807171 Local and global well-posedness of wave maps in R^{1+1} for rough data]'', [http://www.imrn.org IMRN]'''21''' (1998), 1117-1156
 
* [[http://xxx.lanl.gov/abs/math/?9807171 KeTa1998b]] M. Keel, T. Tao, ''[http://xxx.lanl.gov/abs/math/?9807171 Local and global well-posedness of wave maps in R^{1+1} for rough data]'', [http://www.imrn.org IMRN]'''21''' (1998), 1117-1156
 
* [[http://www.press.jhu.edu/journals/american_journal_of_mathematics/toc/ajm121.3_tex.html#121.3keel KeTa1999]] M. Keel, T. Tao, ''[http://www.math.ucla.edu/~tao/preprints/blowup.dvi Small data blowup for semilinear Klein-Gordon equations]'', [http://www.press.jhu.edu/press/journals/titles/ajm.html Amer. J. Math.] 121 (1999), 629-669
 
* [[http://www.press.jhu.edu/journals/american_journal_of_mathematics/toc/ajm121.3_tex.html#121.3keel KeTa1999]] M. Keel, T. Tao, ''[http://www.math.ucla.edu/~tao/preprints/blowup.dvi Small data blowup for semilinear Klein-Gordon equations]'', [http://www.press.jhu.edu/press/journals/titles/ajm.html Amer. J. Math.] 121 (1999), 629-669
* [KeTa-p] M. Keel, T. Tao, ''Global well-posedness for large data for the Maxwell-Klein-Gordon equation below the energy norm'', in preparation.
+
 
* [Kel1957] J. Keller, ''On solutions of nonlinear wave equations'', CPAM '''10''' (1957), 523-530.
+
=====KeTa-p=====
* [Kn-p] C. Kenig, ''On the local and global theory of the KP-I equation'', preprint.
+
M. Keel, T. Tao, ''Global well-posedness for large data for the Maxwell-Klein-Gordon equation below the energy norm'', in preparation.
* [KnKoe-p] C. Kenig, K. Koenig, On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations, preprint.
+
 
* [KnPoVe1989] C. Kenig, G. Ponce, L. Vega, ''On the (generalized) Korteweg-de Vries equation'', Duke Math. J. '''59''' (1989), 585-610.
+
=====Kel1957=====
* [KnPoVe1990] C. Kenig, G. Ponce, L. Vega, ''The initial value problem for a class of nonlinear dispersive equations''. Functional-analytic methods for partial differential equations (Tokyo, 1989), 141-156, Lecture Notes in Math., '''1450''', Springer, Berlin, 1990.
+
J. Keller, ''On solutions of nonlinear wave equations'', CPAM '''10''' (1957), 523-530.
* [KnPoVe1991] C. Kenig, G. Ponce, L. Vega, ''Oscillatory integrals and regularity of dispersive equations'', Indiana Univ. Math. J. '''40''' (1991), 33-69
+
 
* [KnPoVe1991b] C. Kenig, G. Ponce, L. Vega, ''Well-posedness of the initial value problem for the KdV equation'', [http://www.ams.org/jams J. Amer. Math. Soc.] '''4''' (1991), 323-347
+
=====Kn-p=====
* [KnPoVe1993] C. Kenig, G. Ponce, L. Vega, ''Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle'', Comm. Pure Appl. Math. '''46''' (1993), 527-560.
+
C. Kenig, ''On the local and global theory of the KP-I equation'', preprint.
* [KnPoVe1993b] C. Kenig, G. Ponce, L. Vega, ''The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices'', Duke Math. J. '''71''' (1993), 1-21.
+
 
* [KnPoVe1993c] C. Kenig, G. Ponce, L. Vega, ''Small solutions to nonlinear Schrodinger equations'', Ann. Inst. H. Poincare Anal. Nonlineaire '''10''' (1993), 255-288.
+
=====KnKoe-p=====
* [KnPoVe1994] C. Kenig, G. Ponce, L. Vega, ''Higher-order non-linear dispersive equations'', Proc. Amer. Math. Soc. '''122''' (1994), 157-166.
+
C. Kenig, K. Koenig, On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations, preprint.
* [KnPoVe1994b] C. Kenig, G. Ponce, L. Vega, ''On the genrealized Benjamin-Ono equation'',TAMS '''342''' (1994), 155-172.
+
 
* [KnPoVe1995] C. Kenig, G. Ponce, L. Vega, On the IVP for the nonlinear Schrodinger equations, Harmonic Analysis and operator theory (Caracas 1994), Contemporary Math. AMS Providence RI '''189''' (1995), 353-367.
+
=====KnPoVe1989=====
* [KnPoVe1995b] C. Kenig, G. Ponce, L. Vega, ''On the Zakharov and Zakharov-Suhulman systems'', J. Funct. Anal. '''127''' (1995), 204-234.
+
C. Kenig, G. Ponce, L. Vega, ''On the (generalized) Korteweg-de Vries equation'', Duke Math. J. '''59''' (1989), 585-610.
 +
 
 +
=====KnPoVe1990=====
 +
C. Kenig, G. Ponce, L. Vega, ''The initial value problem for a class of nonlinear dispersive equations''. Functional-analytic methods for partial differential equations (Tokyo, 1989), 141-156, Lecture Notes in Math., '''1450''', Springer, Berlin, 1990.
 +
 
 +
=====KnPoVe1991=====
 +
C. Kenig, G. Ponce, L. Vega, ''Oscillatory integrals and regularity of dispersive equations'', Indiana Univ. Math. J. '''40''' (1991), 33-69
 +
 
 +
=====KnPoVe1991b=====
 +
C. Kenig, G. Ponce, L. Vega, ''Well-posedness of the initial value problem for the KdV equation'', [http://www.ams.org/jams J. Amer. Math. Soc.] '''4''' (1991), 323-347
 +
 
 +
=====KnPoVe1993=====
 +
C. Kenig, G. Ponce, L. Vega, ''Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle'', Comm. Pure Appl. Math. '''46''' (1993), 527-560.
 +
 
 +
=====KnPoVe1993b=====
 +
C. Kenig, G. Ponce, L. Vega, ''The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices'', Duke Math. J. '''71''' (1993), 1-21.
 +
 
 +
=====KnPoVe1993c=====
 +
C. Kenig, G. Ponce, L. Vega, ''Small solutions to nonlinear Schrodinger equations'', Ann. Inst. H. Poincare Anal. Nonlineaire '''10''' (1993), 255-288.
 +
 
 +
=====KnPoVe1994=====
 +
C. Kenig, G. Ponce, L. Vega, ''Higher-order non-linear dispersive equations'', Proc. Amer. Math. Soc. '''122''' (1994), 157-166.
 +
 
 +
=====KnPoVe1994b=====
 +
C. Kenig, G. Ponce, L. Vega, ''On the genrealized Benjamin-Ono equation'',TAMS '''342''' (1994), 155-172.
 +
 
 +
=====KnPoVe1995=====
 +
C. Kenig, G. Ponce, L. Vega, On the IVP for the nonlinear Schrodinger equations, Harmonic Analysis and operator theory (Caracas 1994), Contemporary Math. AMS Providence RI '''189''' (1995), 353-367.
 +
 
 +
=====KnPoVe1995b=====
 +
C. Kenig, G. Ponce, L. Vega, ''On the Zakharov and Zakharov-Suhulman systems'', J. Funct. Anal. '''127''' (1995), 204-234.
 
* [[kpv.dvi KnPoVe1996]] C. Kenig, G. Ponce, L. Vega, ''[kpv.dvi A bilinear estimate with applications to the KdV equation]'', [http://www.ams.org/jams J. Amer. Math. Soc.] '''9''' (1996), 573-603.
 
* [[kpv.dvi KnPoVe1996]] C. Kenig, G. Ponce, L. Vega, ''[kpv.dvi A bilinear estimate with applications to the KdV equation]'', [http://www.ams.org/jams J. Amer. Math. Soc.] '''9''' (1996), 573-603.
* [KnPoVe1996b] C. Kenig, G. Ponce, L. Vega, ''[http://www.ams.org/jourcgi/amsjournal?fn=120&pg1=pii&s1=S0002-9947-96-01645-5 Quadratic forms for the 1-D semilinear Schrodinger equation]'', Trans. Amer. Math. Soc. '''346''' (1996), 3323-3353.
+
 
* [KnPoVe1997] C. Kenig, G. Ponce, L. Vega, ''Global solutions for the KdV equation with unbounded data''. J. Differential Equations '''139''' (1997), 339-364.
+
=====KnPoVe1996b=====
* [KnPoVe1997b] C. Kenig, G. Ponce, L. Vega, ''On the smoothing properties of some dispersive hyperbolic systems''. Nonlinear waves (Sapporo, 1995), 221-229, GAKUTO Internat. Ser. Math. Sci. Appl., 10, Gakkotosho, Tokyo, 1997.
+
C. Kenig, G. Ponce, L. Vega, ''[http://www.ams.org/jourcgi/amsjournal?fn=120&pg1=pii&s1=S0002-9947-96-01645-5 Quadratic forms for the 1-D semilinear Schrodinger equation]'', Trans. Amer. Math. Soc. '''346''' (1996), 3323-3353.
* [KnPoVe1997c] C. Kenig, G. Ponce, L. Vega, ''On the Cauchy problem for linear Schrödinger systems with variable coefficient lower order terms''. Harmonic analysis and number theory (Montreal, PQ, 1996), 205-227, CMS Conf. Proc., 21, Amer. Math. Soc., Providence, RI, 1997.
+
 
* [KnPoVe1998] C. Kenig, G. Ponce, L. Vega,'' Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations''. Invent. Math. '''134 '''(1998), 489-545.
+
=====KnPoVe1997=====
* [KnPoVe2000] C. Kenig, G. Ponce, L. Vega, ''On the initial value problem for the Ishimori system'', Ann. Henri Poincaré '''1''' (2000), 341-384.
+
C. Kenig, G. Ponce, L. Vega, ''Global solutions for the KdV equation with unbounded data''. J. Differential Equations '''139''' (1997), 339-364.
 +
 
 +
=====KnPoVe1997b=====
 +
C. Kenig, G. Ponce, L. Vega, ''On the smoothing properties of some dispersive hyperbolic systems''. Nonlinear waves (Sapporo, 1995), 221-229, GAKUTO Internat. Ser. Math. Sci. Appl., 10, Gakkotosho, Tokyo, 1997.
 +
 
 +
=====KnPoVe1997c=====
 +
C. Kenig, G. Ponce, L. Vega, ''On the Cauchy problem for linear Schrödinger systems with variable coefficient lower order terms''. Harmonic analysis and number theory (Montreal, PQ, 1996), 205-227, CMS Conf. Proc., 21, Amer. Math. Soc., Providence, RI, 1997.
 +
 
 +
=====KnPoVe1998=====
 +
C. Kenig, G. Ponce, L. Vega,'' Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations''. Invent. Math. '''134 '''(1998), 489-545.
 +
 
 +
=====KnPoVe2000=====
 +
C. Kenig, G. Ponce, L. Vega, ''On the initial value problem for the Ishimori system'', Ann. Henri Poincaré '''1''' (2000), 341-384.
 
* [[kdv_counter.dvi KnPoVe2001]] C. Kenig, G. Ponce, L. Vega, ''[kdv_counter.dvi On the ill-posedness of some canonical dispersive equations]'', Duke Math. J. '''106''' (2001), 617-633.
 
* [[kdv_counter.dvi KnPoVe2001]] C. Kenig, G. Ponce, L. Vega, ''[kdv_counter.dvi On the ill-posedness of some canonical dispersive equations]'', Duke Math. J. '''106''' (2001), 617-633.
* [KnPoVe2003] C. Kenig, G. Ponce, L. Vega, On unique continuation for the nonlinear Schrodinger equations, CPAM 56 (2003), 1247-1262
+
 
* [KnPoVe-p] C. Kenig, G. Ponce, L. Vega, ''The Cauchy problem for quasilinear Schrodinger equations'', preprint.
+
=====KnPoVe2003=====
* [KnPoVe-p2] C. Kenig, G. Ponce, L. Vega, ''Global well-posedness for semi-linear wave equations'', preprint.
+
C. Kenig, G. Ponce, L. Vega, On unique continuation for the nonlinear Schrodinger equations, CPAM 56 (2003), 1247-1262
 +
 
 +
=====KnPoVe-p=====
 +
C. Kenig, G. Ponce, L. Vega, ''The Cauchy problem for quasilinear Schrodinger equations'', preprint.
 +
 
 +
=====KnPoVe-p2=====
 +
C. Kenig, G. Ponce, L. Vega, ''Global well-posedness for semi-linear wave equations'', preprint.
 
* [[http://xxx.lanl.gov/abs/math/?0009065 KnPoVe-p3]] C. Kenig, G. Ponce, L. Vega, ''[http://xxx.lanl.gov/abs/math/?0009065 On the support of solutions to the g-KdV equation]'', Ann. IHP. Anal Nonlineaire 19 (2002), 191-208.
 
* [[http://xxx.lanl.gov/abs/math/?0009065 KnPoVe-p3]] C. Kenig, G. Ponce, L. Vega, ''[http://xxx.lanl.gov/abs/math/?0009065 On the support of solutions to the g-KdV equation]'', Ann. IHP. Anal Nonlineaire 19 (2002), 191-208.
* [KnPoVe-p4] C. Kenig, G. Ponce, L. Vega, On the unique continuation of solutions to the gKdV equation, preprint.
+
 
* [KnPoVe-p5] C. Kenig, G. Ponce, L. Vega, On the uniqueness of solutions of higher order nonlinear dispersive equations, preprint.
+
=====KnPoVe-p4=====
* [KnPoRolVe-p] C. Kenig, G. Ponce, C. Rolvung, L. Vega, ''Local existence theory for the generalized nonlinear Schrodinger equations'', preprint.
+
C. Kenig, G. Ponce, L. Vega, On the unique continuation of solutions to the gKdV equation, preprint.
* [KnRu1983] C. Kenig, A. Ruiz, ''A strong type (2,2) estimate for the maximal function associated to the Schrodinger equation'', TAMS 280 (1983), 239-246.
+
 
* [KnRuSo1987] C. Kenig, A. Ruiz, C. Sogge, Uniform Sobolev inequalities and unique continuation theorems for second order constant coefficient differential operators, Duke Math. J. 55 (1987), 329-347.
+
=====KnPoVe-p5=====
* [KnSo1988] C. Kenig, C. Sogge, A note on unique continuation for Schrodinger’s operator, Proc. AMS 103 (1988), 543—546.
+
C. Kenig, G. Ponce, L. Vega, On the uniqueness of solutions of higher order nonlinear dispersive equations, preprint.
* [KnSt1997] C. Kenig, G. Staffilani, ''Local well-posedness for higher-order nonlinear dispersive systems'', JFAA '''3''' (1997), 417-433.
+
 
* [KeWg1998] C. Kenig, W. Wang, ''Existence of local smooth solution for a generalized Zakharov system'', JFAA '''4''' (1998), 469-490.
+
=====KnPoRolVe-p=====
* [Ker2002] S. Keraani, ''Semiclassical limit for a class of Nonlinear Schrodinger Equations with potential'', CPDE '''27''' (2002), 693-704.
+
C. Kenig, G. Ponce, C. Rolvung, L. Vega, ''Local existence theory for the generalized nonlinear Schrodinger equations'', preprint.
* [KiLit2003] S. Kichenassamy, W. Littman, Blow-up surfaces for nonlinear wave equations I, CPDE 18 (1993), 431-452.
+
 
* [KiLit2003b] S. Kichenassamy, W. Littman, Blow-up surfaces for nonlinear wave equations II, CPDE 18 (1993), 1869-1899.
+
=====KnRu1983=====
* [Kl1983] S. Klainerman, ''Long Time behavior of solutions to nonlinear wave equations'', Proc. ICM Warsawa 1983.
+
C. Kenig, A. Ruiz, ''A strong type (2,2) estimate for the maximal function associated to the Schrodinger equation'', TAMS 280 (1983), 239-246.
* [Kl1985] S. Klainerman, ''Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions'', Comm. Pure Appl. Math. 38 (1985), 631-641.
+
 
* [Kl1985b] S. Klainerman, ''Uniform decay estimate and the Lorentz invariance of the classical wave equations'', CPAM '''38''' (1985), 321-332.
+
=====KnRuSo1987=====
* [Kl1986] S. Klainerman, ''The null condition and global existence to nonlinear wave equations'', Nonlinear systems of PDE in applied math. I (Santa Fe 1984), LNM, AMS Providence RI '''23''' (1986), 293-326.
+
C. Kenig, A. Ruiz, C. Sogge, Uniform Sobolev inequalities and unique continuation theorems for second order constant coefficient differential operators, Duke Math. J. 55 (1987), 329-347.
* [Kl1987] S. Klainerman, ''Remarks on the global Sobolev inequalities in the Minkowski space R^{n+1}'', CPAM '''40''' (1987), 111-117.
+
 
* [Kl1997] S. Klainerman, ''On the regularity of classical field theories in Minkowski space-time '''''R'''''^{3+1}'', Prog. in Nonlin. Diff. Eq. and their Applic., '''29''', (1997), Birkh\"auser, 113-150.
+
=====KnSo1988=====
* [Kl-p] S. Klainerman, ''[http://www.math.princeton.edu/~seri/homepage/telaviv.ps PDE as a unified subject]'', preprint.
+
C. Kenig, C. Sogge, A note on unique continuation for Schrodinger\u2019s operator, Proc. AMS 103 (1988), 543\u2014546.
* [Kl-p2] S. Klainerman, ''[http://www.math.princeton.edu/~seri/homepage/Nstr.ps A commuting vector-fields approach to Strichartz type inequalities and applications to quasilinear wave equations]'', preprint.
+
 
* [KlMa1993] S. Klainerman, M. Machedon, ''Space-time Estimates for Null Forms and the Local Existence Theorem'', Comm. Pure Appl. Math., '''46''' (1993), 1221-1268.
+
=====KnSt1997=====
* [KlMa1994] S. Klainerman, M. Machedon, ''On the Maxwell-Klein-Gordon equation with finite energy'', Duke Math. J. '''74''' (1994), 19-44.
+
C. Kenig, G. Staffilani, ''Local well-posedness for higher-order nonlinear dispersive systems'', JFAA '''3''' (1997), 417-433.
* [KlMa1995] S. Klainerman, M. Machedon, ''Finite energy solutions of the Yang-Mills equations in '''''R'''^{3+1}. Ann. of Math. '''142''' (1995) , 93-116.
+
 
* [KlMa1995b] S. Klainerman, M. Machedon, ''Smoothing estimates for null forms and applications'', Duke Math J. '''81''' (1995), 99-103.
+
=====KeWg1998=====
* [KlMa1996] S. Klainerman, M. Machedon, ''Remark on Strichartz-type inequalities.'' With appendices by Jean Bourgain and Daniel Tataru. [http://www.imrn.org Int. Math. Research Notices]'''5''' (1996), 201-220.
+
C. Kenig, W. Wang, ''Existence of local smooth solution for a generalized Zakharov system'', JFAA '''4''' (1998), 469-490.
* [KlMa1996b] S. Klainerman, M. Machedon, ''Estimates for null forms and the spaces H_{s,\delta}'', [http://www.imrn.org Int. Math. Research Notices] '''17''' (1996), 853-866.
+
 
* [KlMa1997] S. Klainerman, M. Machedon, ''On the optimal local regularity for gauge field theories'', Diff. and Integral Eq. '''10''' (1997), 1019-1030.
+
=====Ker2002=====
* [KlMa1997b] S. Klainerman, M. Machedon, ''On the regularity properties of a model problem related to wave maps'', Duke Math. J. '''87''' (1997), 553-589.
+
S. Keraani, ''Semiclassical limit for a class of Nonlinear Schrodinger Equations with potential'', CPDE '''27''' (2002), 693-704.
* [KlMa1998] S. Klainerman, M. Machedon, ''On the algebraic properties of the $H^{n/2,1/2}$ spaces.'' Internat. Math. Res. Notices '''15''' (1998)765-774.
+
 
* [KlNi1999] S. Klainerman, F. Nicolò, ''On local and global aspects of the Cauchy problem in general relativity''. Classical Quantum Gravity '''16''' (1999), no. 8, R73-R157
+
=====KiLit2003=====
* [KlNi2003] S. Klainerman, F. Nicolo, The evolution problem in general relativity, Birkhauser 2003
+
S. Kichenassamy, W. Littman, Blow-up surfaces for nonlinear wave equations I, CPDE 18 (1993), 431-452.
* [KlNi-p] S. Klainerman, F. Nicolo, Peeling properties of asymptotically flat solutions to the Einstein vacuum equations, preprint.
+
 
* [KlPo1983] S. Klainerman, G. Ponce, ''Global small amplitude solutions to nonlinear evolution equations'', CPAM '''36''' (1983), 133-141.
+
=====KiLit2003b=====
* [KlRo-p] S. Klainerman, I. Rodnianski, ''On the global regularity of wave maps in the critical Sobolev norm'', preprint.
+
S. Kichenassamy, W. Littman, Blow-up surfaces for nonlinear wave equations II, CPDE 18 (1993), 1869-1899.
* [KlRo-p2] S. Klainerman, I. Rodnianski, ''Improved Local Well Posedness for Quasilinear Wave Equations in Dimension Three'', preprint.
+
 
* [KlRo-p3] S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0109173 Rough solution for the Einstein Vacuum equations]'', preprint
+
=====Kl1983=====
* [KlRo-p4] S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0109173 The causal structure of microlocalized Einstein metrics]'', preprint
+
S. Klainerman, ''Long Time behavior of solutions to nonlinear wave equations'', Proc. ICM Warsawa 1983.
* [KlRo-p5] S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0110090 Ricci defects of microlocalized Einstein metrics]'', preprint
+
 
* [KlRo-p6] S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0308123 Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux]'', preprint
+
=====Kl1985=====
* [KlRo-p7] S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0309459 Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux]'', preprint
+
S. Klainerman, ''Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions'', Comm. Pure Appl. Math. 38 (1985), 631-641.
* [KlRo-p8] S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0309463 A geometric approach to the Littlewood-Paley theory]'', preprint.
+
 
* [KlRoTa-p2] S. Klainerman, I. Rodnianski, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0106091 A physical space approach to wave equation bilinear estimates]'', preprint.
+
=====Kl1985b=====
* [KlSb1997] S. Klainerman, S. Selberg, ''Remark on the optimal regularity for equations of wave maps type'', C.P.D.E., '''22''' (1997), 901-918.
+
S. Klainerman, ''Uniform decay estimate and the Lorentz invariance of the classical wave equations'', CPAM '''38''' (1985), 321-332.
* [KlSb-p] S. Klainerman, S. Selberg, ''[http://www.math.princeton.edu/~seri/homepage/Survey.ps Bilinear estimates and applications to nonlinear wave equations]'', preprint.
+
 
* [KlSi1996] S. Klainerman, T. Sideris, ''On almost global existence for nonrelativistic wave equations in 3D'', CPAM '''49''' (1996), 307-321.
+
=====Kl1986=====
* [KlSt2002] S. Klainerman, G. Staffilani, ''A new approach to study the Vlasov-Maxwell system'', CPAA '''1''' (2002), 103-125.
+
S. Klainerman, ''The null condition and global existence to nonlinear wave equations'', Nonlinear systems of PDE in applied math. I (Santa Fe 1984), LNM, AMS Providence RI '''23''' (1986), 293-326.
* [KlTt1999] S. Klainerman, D. Tataru, [http://www.ams.org/jourcgi/amsjournal?fn=120&pg1=pii&s1=S0894-0347-99-00282-9 ''On the optimal regularity for Yang-Mills equations in '''''R'''''^{4+1}''], [http://www.ams.org/jams J. Amer. Math. Soc.] '''12''' (1999), 93-116.
+
 
* [Kg-p] J. Krieger, ''Global regularity of wave maps from '''R'''^{3+1} to a Riemann surface'', preprint.
+
=====Kl1987=====
* [KocTz-p] H. Koch, N. Tzvetkov, ''On the local well-posedness of the Benjamin-Ono equation in H^s(R)'', IMRN 2003:26.
+
S. Klainerman, ''Remarks on the global Sobolev inequalities in the Minkowski space R^{n+1}'', CPAM '''40''' (1987), 111-117.
* [KocTz-p2] H. Koch, N. Tzvetkov, ''Nonlinear wave interactions the Benjamin-Ono equation'', preprint.
+
 
* [Kod1985] Y. Kodama, ''Optical solitons in a monomode fiber'', J. Statistical Phys. '''39''' (1985), 597-614.
+
=====Kl1997=====
* [KolNewStrQi2000] E. B. Kolomeisky, T. J. Newman, J.P. Straley, X. Qi, ''Low dimensional Bose Liquids: Beyond the Gross-Pitaevski approximation'', Phys. Review Letters 85 (2000), 1146-1149.
+
S. Klainerman, ''On the regularity of classical field theories in Minkowski space-time '''''R'''''^{3+1}'', Prog. in Nonlin. Diff. Eq. and their Applic., '''29''', (1997), Birkh\"auser, 113-150.
* [KonMat1989] B. Konopelchenko, B. Matkarimov, On the inverse scattering transform of the Ishimori equations, Phys. Lett. A 135 (1989), 183-189.
+
 
* [KozOgTns2001] H. Kozono, T. Ogawa, H. Tanisaka, Well-posedness for the Benjamin equations, J. Korean Math. Soc. 38 (2001) 6, 1205-1234.
+
=====Kl-p=====
* [KwVr1895] D.J. Korteweg, G. de Vries, ''On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves'', Philos. Mag. '''539''' (1895), 422-443.
+
S. Klainerman, ''[http://www.math.princeton.edu/~seri/homepage/telaviv.ps PDE as a unified subject]'', preprint.
* [Ks1992] R. Kosecki, ''The unit condition and global existence for a class of nonlinear Klein-Gordon equations'', JDE '''100''' (1992), 257-268.
+
 
* [Ko1987] M. Kovalyov, ''Long-time behavior of solutions of a system of nonlinear wave equations'', Comm. Part. Diff. Eq., '''12''' (1987),471-501. With Errata in CPDE '''18''' (1993) 1971-1976.
+
=====Kl-p2=====
* [Ko1989] M. Kovalyov, ''Resonance type behaviour in a system of nonlinear wave equations'', JDE '''77''' (1989), 73-83.
+
S. Klainerman, ''[http://www.math.princeton.edu/~seri/homepage/Nstr.ps A commuting vector-fields approach to Strichartz type inequalities and applications to quasilinear wave equations]'', preprint.
* [Kri2003] J. Krieger, ''[http://www.arXiv.org/abs/math.AP/0203143 Global regularity of wave maps from R^{3+1} to H^2]'', CMP 238 (2003), 333-366.
+
 
* [Kri-p] J. Krieger, ''Global regularity of wave maps from R^{2+1} to H^2. Small energy'', preprint.
+
=====KlMa1993=====
* [Kru1978] M. Kruskal, ''The birth of the soliton'', Research Notes in Mathematics, '''26''' (1978), 1-8.
+
S. Klainerman, M. Machedon, ''Space-time Estimates for Null Forms and the Local Existence Theorem'', Comm. Pure Appl. Math., '''46''' (1993), 1221-1268.
* [KrFa1983] S. Kruzhkov, A. Faminskii, ''Generalized solutions of the Korteweg-de Vries equation'' (Russian), Mat. Sb. (N.S.) '''120''' (1983), 296-425; English translation in Math USSR Sbornik '''48''' (1984), 391-421.
+
 
* [KuKb1995] H. Kubo, K. Kubota, Asymptotic behaviors of radially symmetric solutions of Box u = |u|^p for super critical values p in odd space dimensions, Hokkaido M ath J. 24 (1995), 287-336
+
=====KlMa1994=====
* [Kuk1995] S B Kuksin, [http://www.ma.hw.ac.uk/~kuksin/cap.ps Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's], ''Comm. Math. Physics 167 ''(1995) pp. 531-552.
+
S. Klainerman, M. Machedon, ''On the Maxwell-Klein-Gordon equation with finite energy'', Duke Math. J. '''74''' (1994), 19-44.
* [Kuk1995b] S B Kuksin, [http://www.ma.hw.ac.uk/~kuksin/sq.ps On squeezing and flow of energy for nonlinear wave equations] ''GAFA 5'' (1995) pp. 668-701
+
 
* [Kz-p] M. Kunze, A variational problem with lack of compactness related to the Strichartz inequality, preprint.
+
=====KlMa1995=====
* [Kz-p2] M. Kunze, On the existence of a maximizer for the Strichartz inequality, preprint.
+
S. Klainerman, M. Machedon, ''Finite energy solutions of the Yang-Mills equations in '''''R'''^{3+1}. Ann. of Math. '''142''' (1995) , 93-116.
 +
 
 +
=====KlMa1995b=====
 +
S. Klainerman, M. Machedon, ''Smoothing estimates for null forms and applications'', Duke Math J. '''81''' (1995), 99-103.
 +
 
 +
=====KlMa1996=====
 +
S. Klainerman, M. Machedon, ''Remark on Strichartz-type inequalities.'' With appendices by Jean Bourgain and Daniel Tataru. [http://www.imrn.org Int. Math. Research Notices]'''5''' (1996), 201-220.
 +
 
 +
=====KlMa1996b=====
 +
S. Klainerman, M. Machedon, ''Estimates for null forms and the spaces H_{s,\delta}'', [http://www.imrn.org Int. Math. Research Notices] '''17''' (1996), 853-866.
 +
 
 +
=====KlMa1997=====
 +
S. Klainerman, M. Machedon, ''On the optimal local regularity for gauge field theories'', Diff. and Integral Eq. '''10''' (1997), 1019-1030.
 +
 
 +
=====KlMa1997b=====
 +
S. Klainerman, M. Machedon, ''On the regularity properties of a model problem related to wave maps'', Duke Math. J. '''87''' (1997), 553-589.
 +
 
 +
=====KlMa1998=====
 +
S. Klainerman, M. Machedon, ''On the algebraic properties of the $H^{n/2,1/2}$ spaces.'' Internat. Math. Res. Notices '''15''' (1998)765-774.
 +
 
 +
=====KlNi1999=====
 +
S. Klainerman, F. Nicolò, ''On local and global aspects of the Cauchy problem in general relativity''. Classical Quantum Gravity '''16''' (1999), no. 8, R73-R157
 +
 
 +
=====KlNi2003=====
 +
S. Klainerman, F. Nicolo, The evolution problem in general relativity, Birkhauser 2003
 +
 
 +
=====KlNi-p=====
 +
S. Klainerman, F. Nicolo, Peeling properties of asymptotically flat solutions to the Einstein vacuum equations, preprint.
 +
 
 +
=====KlPo1983=====
 +
S. Klainerman, G. Ponce, ''Global small amplitude solutions to nonlinear evolution equations'', CPAM '''36''' (1983), 133-141.
 +
 
 +
=====KlRo-p=====
 +
S. Klainerman, I. Rodnianski, ''On the global regularity of wave maps in the critical Sobolev norm'', preprint.
 +
 
 +
=====KlRo-p2=====
 +
S. Klainerman, I. Rodnianski, ''Improved Local Well Posedness for Quasilinear Wave Equations in Dimension Three'', preprint.
 +
 
 +
=====KlRo-p3=====
 +
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0109173 Rough solution for the Einstein Vacuum equations]'', preprint
 +
 
 +
=====KlRo-p4=====
 +
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0109173 The causal structure of microlocalized Einstein metrics]'', preprint
 +
 
 +
=====KlRo-p5=====
 +
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0110090 Ricci defects of microlocalized Einstein metrics]'', preprint
 +
 
 +
=====KlRo-p6=====
 +
S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0308123 Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux]'', preprint
 +
 
 +
=====KlRo-p7=====
 +
S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0309459 Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux]'', preprint
 +
 
 +
=====KlRo-p8=====
 +
S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0309463 A geometric approach to the Littlewood-Paley theory]'', preprint.
 +
 
 +
=====KlRoTa-p2=====
 +
S. Klainerman, I. Rodnianski, T. Tao, ''[http://front.math.ucdavis.edu/math.AP/0106091 A physical space approach to wave equation bilinear estimates]'', preprint.
 +
 
 +
=====KlSb1997=====
 +
S. Klainerman, S. Selberg, ''Remark on the optimal regularity for equations of wave maps type'', C.P.D.E., '''22''' (1997), 901-918.
 +
 
 +
=====KlSb-p=====
 +
S. Klainerman, S. Selberg, ''[http://www.math.princeton.edu/~seri/homepage/Survey.ps Bilinear estimates and applications to nonlinear wave equations]'', preprint.
 +
 
 +
=====KlSi1996=====
 +
S. Klainerman, T. Sideris, ''On almost global existence for nonrelativistic wave equations in 3D'', CPAM '''49''' (1996), 307-321.
 +
 
 +
=====KlSt2002=====
 +
S. Klainerman, G. Staffilani, ''A new approach to study the Vlasov-Maxwell system'', CPAA '''1''' (2002), 103-125.
 +
 
 +
=====KlTt1999=====
 +
S. Klainerman, D. Tataru, [http://www.ams.org/jourcgi/amsjournal?fn=120&pg1=pii&s1=S0894-0347-99-00282-9 ''On the optimal regularity for Yang-Mills equations in '''''R'''''^{4+1}''], [http://www.ams.org/jams J. Amer. Math. Soc.] '''12''' (1999), 93-116.
 +
 
 +
=====Kg-p=====
 +
J. Krieger, ''Global regularity of wave maps from '''R'''^{3+1} to a Riemann surface'', preprint.
 +
 
 +
=====KocTz-p=====
 +
H. Koch, N. Tzvetkov, ''On the local well-posedness of the Benjamin-Ono equation in H^s(R)'', IMRN 2003:26.
 +
 
 +
=====KocTz-p2=====
 +
H. Koch, N. Tzvetkov, ''Nonlinear wave interactions the Benjamin-Ono equation'', preprint.
 +
 
 +
=====Kod1985=====
 +
Y. Kodama, ''Optical solitons in a monomode fiber'', J. Statistical Phys. '''39''' (1985), 597-614.
 +
 
 +
=====KolNewStrQi2000=====
 +
E. B. Kolomeisky, T. J. Newman, J.P. Straley, X. Qi, ''Low dimensional Bose Liquids: Beyond the Gross-Pitaevski approximation'', Phys. Review Letters 85 (2000), 1146-1149.
 +
 
 +
=====KonMat1989=====
 +
B. Konopelchenko, B. Matkarimov, On the inverse scattering transform of the Ishimori equations, Phys. Lett. A 135 (1989), 183-189.
 +
 
 +
=====KozOgTns2001=====
 +
H. Kozono, T. Ogawa, H. Tanisaka, Well-posedness for the Benjamin equations, J. Korean Math. Soc. 38 (2001) 6, 1205-1234.
 +
 
 +
=====KwVr1895=====
 +
D.J. Korteweg, G. de Vries, ''On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves'', Philos. Mag. '''539''' (1895), 422-443.
 +
 
 +
=====Ks1992=====
 +
R. Kosecki, ''The unit condition and global existence for a class of nonlinear Klein-Gordon equations'', JDE '''100''' (1992), 257-268.
 +
 
 +
=====Ko1987=====
 +
M. Kovalyov, ''Long-time behavior of solutions of a system of nonlinear wave equations'', Comm. Part. Diff. Eq., '''12''' (1987),471-501. With Errata in CPDE '''18''' (1993) 1971-1976.
 +
 
 +
=====Ko1989=====
 +
M. Kovalyov, ''Resonance type behaviour in a system of nonlinear wave equations'', JDE '''77''' (1989), 73-83.
 +
 
 +
=====Kri2003=====
 +
J. Krieger, ''[http://www.arXiv.org/abs/math.AP/0203143 Global regularity of wave maps from R^{3+1} to H^2]'', CMP 238 (2003), 333-366.
 +
 
 +
=====Kri-p=====
 +
J. Krieger, ''Global regularity of wave maps from R^{2+1} to H^2. Small energy'', preprint.
 +
 
 +
=====Kru1978=====
 +
M. Kruskal, ''The birth of the soliton'', Research Notes in Mathematics, '''26''' (1978), 1-8.
 +
 
 +
=====KrFa1983=====
 +
S. Kruzhkov, A. Faminskii, ''Generalized solutions of the Korteweg-de Vries equation'' (Russian), Mat. Sb. (N.S.) '''120''' (1983), 296-425; English translation in Math USSR Sbornik '''48''' (1984), 391-421.
 +
 
 +
=====KuKb1995=====
 +
H. Kubo, K. Kubota, Asymptotic behaviors of radially symmetric solutions of Box u = |u|^p for super critical values p in odd space dimensions, Hokkaido M ath J. 24 (1995), 287-336
 +
 
 +
=====Kuk1995=====
 +
S B Kuksin, [http://www.ma.hw.ac.uk/~kuksin/cap.ps Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's], ''Comm. Math. Physics 167 ''(1995) pp. 531-552.
 +
 
 +
=====Kuk1995b=====
 +
S B Kuksin, [http://www.ma.hw.ac.uk/~kuksin/sq.ps On squeezing and flow of energy for nonlinear wave equations] ''GAFA 5'' (1995) pp. 668-701
 +
 
 +
=====Kz-p=====
 +
M. Kunze, A variational problem with lack of compactness related to the Strichartz inequality, preprint.
 +
 
 +
=====Kz-p2=====
 +
M. Kunze, On the existence of a maximizer for the Strichartz inequality, preprint.
  
 
<center>L</center>
 
<center>L</center>
  
* [LabSf1999] I. Laba, A. Soffer, Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds, Helv. Phys. Acta 72 (1999), no. 4, 274--294.
+
 
* [Lad1999] R. Ladhari, ''Petites solutions d'equations dondes quasilineaires en dimension deux d'espace'', These, Universite Paris-Sud, 1999.
+
=====LabSf1999=====
* [LaSh1981] O.A. Ladyzhenskaya, V.I. Shubov, ''Unique solvability of the Cauchy problem for the equations of the two dimensional chiral fields, taking values in complete Riemann manifolds'', J. Soviet Math., '''25''' (1984), 855-864. (English Trans. of 1981 Article.)
+
I. Laba, A. Soffer, Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds, Helv. Phys. Acta 72 (1999), no. 4, 274--294.
* [LanPapSucSup1988] M. Landman, G. Papanicolaou, C. Sulem, P-L. Sulem, ''Rate of blowup for solutions of the nonlinear Schrodinger equation at critical dimension'', Phys. Rev. A '''38''' (1988), 3837-3843
+
 
* [Lau1992] C. Laurey, The Cauchy problem for a third order nonlinear Schrodinger equation, CRAS Paris Serie I 315 (1992), 165-168.
+
=====Lad1999=====
* [Lau1997] C. Laurey, The Cauchy problem for a third order nonlinear Schrodinger equation, Nonlinear Analysis, TMA 29 (1997), 121-158.
+
R. Ladhari, ''Petites solutions d'equations dondes quasilineaires en dimension deux d'espace'', These, Universite Paris-Sud, 1999.
* [Lau2001] C. Laurey, On a nonlinear dispersive equation with time-dependent coefficients, Adv. Diff. Eq. 6 (2001), 577-612.
+
 
* [Lau-p] C. Laurey, ''The Cauchy problem for a generalized Zakharov system'', preprint.
+
=====LaSh1981=====
* [Lx1968] P. Lax, ''Integrals of nonlinear equations of evolution and solitary waves'', CPAM '''21''' (1968), 467-490.
+
O.A. Ladyzhenskaya, V.I. Shubov, ''Unique solvability of the Cauchy problem for the equations of the two dimensional chiral fields, taking values in complete Riemann manifolds'', J. Soviet Math., '''25''' (1984), 855-864. (English Trans. of 1981 Article.)
* [LxPh1989] P. Lax, R. Phillips, Scattering theory, revised edition, Acad. Press., San Diego (1989)
+
 
* [LxMzPh1963] P. Lax, C. Morawetz, R. Phillips, ''Exponential decay of solutions to the wave equation in the exterior of a star-shaped obstacle'', CPAM '''16''' (1963), 477-486.
+
=====LanPapSucSup1988=====
* [Leb1992] G. Lebeau, ''Controle de l'equation de Schrodinger'', J. Math. Pures et Appliquees '''71''' (1992), 267-291.
+
M. Landman, G. Papanicolaou, C. Sulem, P-L. Sulem, ''Rate of blowup for solutions of the nonlinear Schrodinger equation at critical dimension'', Phys. Rev. A '''38''' (1988), 3837-3843
* [Leb1992b] G. Lebeau, ''Singularites de solutions d'equations d'ondes semi-lineaires'', Annals Scientifiques de l'ENS '''25''' (1992), 201-231.
+
 
* [Leb2000] G. Lebeau, ''Optique nonlineaire et ondes sur critiques (Nonlinear Optics and supercritical waves)'', Seminaire: Equations aux Derivees Partielles, 1991-2000, Exp. No. IV.
+
=====Lau1992=====
* [Leb2002] G. Lebeau, Nonlinear optics and supercritical wave equation, Bull. Soc. Roy. Sci. Liege, 70 (2002), 267-306.Hommage a Pascal Laubin.
+
C. Laurey, The Cauchy problem for a third order nonlinear Schrodinger equation, CRAS Paris Serie I 315 (1992), 165-168.
* [Le1989] J. H. Lee, Global solvability of the derivative nonlinear Schrodinger equation, TAMS 314 (1989), 107-118
+
 
* [Lev1990] H. Levine, ''The role of critical exponents in blowup theorems'', SIAM Rev. '''32''' (1990), 262-288.
+
=====Lau1997=====
* [LhLin2003] H. Li, C. Lin, ''[http://ejde.math.txstate.edu/Volumes/2003/93/abstr.html Semiclassical limit and well-posedness of nonlinear Schrodinger-Poisson systems]'', Electron. J. Diff. Eqns., Vol. 2003(2003), No. 93, pp. 1-17.
+
C. Laurey, The Cauchy problem for a third order nonlinear Schrodinger equation, Nonlinear Analysis, TMA 29 (1997), 121-158.
* [LtYu1991] T. Li, X. Yu, ''Lifespan of classical solutions to fully nonlinear wave equations'', CPDE '''16''' (1991), 909-940.
+
 
* [LtZh1993] T. Li, Y. Zhou, ''Life-span of classical solutions to fully nonlinear wave equations in two space dmensions II'', J. PDE 6 (1) (1993), 17-38.
+
=====Lau2001=====
* [LtZh1994] T. Li, Y. Zhou, ''Life-span of classical solutions to nonlinear wave equations in two space dimensions'', J. Math. Pure et Appl. '''73(3)''' (1994), 223-249.
+
C. Laurey, On a nonlinear dispersive equation with time-dependent coefficients, Adv. Diff. Eq. 6 (2001), 577-612.
* [LtZh1995] T. Li, Y. Zhou, ''A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions'', Indiana U. Math. J. '''44''' (1995), 1207-1248.
+
 
* [Lie-p] S. Liebling, ''[http://www.arxiv.org/abs/gr-gc/0202093 The singularity Threshold of the nonlinear Sigma Model using 3D Adaptive Mesh refinement]'', preprint.
+
=====Lau-p=====
* [LimPo-p] W. Lim, G. Ponce, On the initial value problem for one-dimensional quasilinear Schrodinger equations, preprint.
+
C. Laurey, ''The Cauchy problem for a generalized Zakharov system'', preprint.
* [LnSr1978] J. Lin, W. Strauss, ''Decay and scattering of solutions of nonlinear Schrodinger equation'', JFA '''30''' (1978), 245-263.
+
 
* [LiPo1993] F. Linares, G. Ponce, ''On the Davey-Stewartson systems'', Annales de l'I.H.P. Analhyse nonlineaire '''10''' (1993), 523-548.
+
=====Lx1968=====
* [Li1999] F. Linares, L^2Global well-posedness of the initial value problem associated with the Benjamin equation, JDE 152 (1999), 1425-1433.
+
P. Lax, ''Integrals of nonlinear equations of evolution and solitary waves'', CPAM '''21''' (1968), 467-490.
* [Lb1990] H. Lindblad, On the lifespan of solutions to nonlinear wave equations with small initial data, CPAM 43 (1990), 445-472.
+
 
* [Lb1992] H. Lindblad, Global solutions of nonlinear wave equations, CPAM 45 (9) (1992), 1063-1096.
+
=====LxPh1989=====
* [Lb1993] H. Lindblad, ''A Sharp Counterexample to Local Existence of Low Regularity Solutions to Nonlinear Wave Equations'', Duke Math J., '''72''', (1993), 503-539.
+
P. Lax, R. Phillips, Scattering theory, revised edition, Acad. Press., San Diego (1989)
* [Lb1996] H. Lindblad, ''Counterexamples to local existence for semi-linear wave equations'', Amer. J. Math. '''118''' (1996), 1-16.
+
 
* [Lb-p] H. Lindblad, ''[http://arXiv.org/abs/math.AP/0210056 A remark on Global existence for small initial data of the minimal surface equation in Minkowskian spacetime]'', preprint.
+
=====LxMzPh1963=====
* [Lb-p2] H. Lindblad, ''[http://arxiv.org/abs/math.AP/0112228 Well-posedness for the linearized motion of a compressible liquid with free surface boundary]'', preprint.
+
P. Lax, C. Morawetz, R. Phillips, ''Exponential decay of solutions to the wave equation in the exterior of a star-shaped obstacle'', CPAM '''16''' (1963), 477-486.
* [Lp-p3] H. Lindblad, ''[http://arxiv.org/abs/math.AP/0402327 Well-posedness for the motion of an incompressible liquid with free surface boundary]'', preprint.
+
 
* [LbRo2003] H. Lindblad, I. Rodnianski, The weak null condition for Einstein’s equations, C.R. Math. Acad. Sci. Paris 336 (2003), 901-906.
+
=====Leb1992=====
* [LbRo-p] H. Lindblad, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0312479 Global existence in the Einstein Vacuum equations in wave co-ordinates]'', preprint.
+
G. Lebeau, ''Controle de l'equation de Schrodinger'', J. Math. Pures et Appliquees '''71''' (1992), 267-291.
* [LbSf-p] H. Lindblad, A. Soffer, ''[http://arxiv.org/abs/math.AP/0403232 A remark on long-range scattering for the nonlinear Klein-Gordon equation]'', preprint.
+
 
* [LbSo1995] H. Lindblad, C. Sogge, ''On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations'', J. Func. Anal., '''130''' (1995), 357-426.
+
=====Leb1992b=====
* [LbSo1996] H. Lindblad, C. Sogge, ''Restriction theorems and semilinear Klein-Gordon equations in (1+3) dimensions'', Duke Math. J. '''85''' (1996), 227-252.
+
G. Lebeau, ''Singularites de solutions d'equations d'ondes semi-lineaires'', Annals Scientifiques de l'ENS '''25''' (1992), 201-231.
* [Liu1989] Y. Liu, ''The Cauchy problem for a class of nonlinear Schrodinger equations'', J. Appl. Math. '''4''' (1989), 102-107.
+
 
* [Liu1991] Y. Liu, ''On the asymptotic behavior of solutions for a nonlinear Schrodinger equation'', Chinese Annals Math. '''12A''' (1991), 19-25.
+
=====Leb2000=====
* [Liu1993] Y. Liu, ''Instability of solitary waves for generalized Boussinesq equations'', J. Dynamics and Diff. Eq. '''5''' (1993), 537-558.
+
G. Lebeau, ''Optique nonlineaire et ondes sur critiques (Nonlinear Optics and supercritical waves)'', Seminaire: Equations aux Derivees Partielles, 1991-2000, Exp. No. IV.
* [Liu1995] Y. Liu, ''Instability and blowup of solutions to a generalized Boussinesq equation'', Siam J. Math Anal '''26''' (1995), 1527-1546.
+
 
* [Liu1997] Y. Liu, ''Dispersion of small solutions of a generalized Boussinesq equation'', JFA '''147''' (1997), 51-68.
+
=====Leb2002=====
* [Liu2000] Y. Liu, ''Strong instability of solitary wave solutions of a generalized Boussinesq equation'', JDE '''164''' (2000), 223-239.
+
G. Lebeau, Nonlinear optics and supercritical wave equation, Bull. Soc. Roy. Sci. Liege, 70 (2002), 267-306.Hommage a Pascal Laubin.
* <span style="mso-bookmark: Liu2000">[</span>Liu2001] Y. Liu, ''Blowup and strong instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation'', TAMS '''353''' (2001), 191-208.
+
 
* [Liu2002] Y. Liu, ''Blow-up and strong instability of solitary wave solutions of Kadomtsev-Petviashvili equations in three dimensions'', JDE '''180''' (2002), 153-170.
+
=====Le1989=====
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<center>M</center>
  
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S. Machihara, K. Nakanishi, T. Ozawa, ''Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation'', preprint.
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S. Machihara, K. Nakanishi, T. Ozawa, ''Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations'', preprint.
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J. Maddocks, R. Sachs, On the stability of KdV multi-solitons, CPAM 46 (1993) 867-901
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B. Marshall, ''Mixed-norm estimates for the Klein-Gordon equation'', in Proc. Conf. Harmonic Anal. Antoni Zygmund, Wardsworth (1981), 638-652.
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B. Marshall, W. Strauss, S. Wainger, ''L^p -> L^q estimates for the Klein-Gordon equation'', J. Math. Pure Appl. '''59''' (1980), 417-440.
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Y. Martel, F. Merle, ''Instability of solitons for the critical generalized Korteweg de Vries equation'', GAFA '''11''' (2001), 74-123.
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Y. Martel, F. Merle, Asymptotic stability of solitons for the subcritical generalized Korteweg de Vries equations revisited, preprint.
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+
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* [MeRap-p] F. Merle, P. Raphael, ''Blowup dynamic and upper bound on the blowup rate for the critical nonlinear Schrodinger equation'', preprint.
+
Y. Martel, F. Merle, T-P. Tsai, ''[arXiv.org/abs/math.AP/0112071 Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations]'', preprint
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* [MeVe1998] F. Merle, L. Vega, ''Compactness at blow-up time for L^2 solutions of the critical nonlinear Schrodinger equation in 2D'', IMRN '''9''' (1998), 399-425.
+
N. Masmoudi, K. Nakanishi, ''From non-linear Klein-Gordon equation to a system of coupled Schrodinger equations'', Math Ann. '''324''' (2002) 2, 359-389
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* [Met-p] J. Metcalfe, ''[http://arxiv.org/abs/math.AP/0210227 Global Strichartz Estimates for Solutions to the Wave Equations Exterior to a Convex Obstacle]'', preprint
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N. Masmoudi, K. Nakanishi, ''Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrodinger'', IMRN 2003:13
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A. Matsumura, ''On the asymptotic behavior of solutions of semilinear wave equations'', Publ. Res. Inst. Math. Sci. '''12''' (1976/1977), 169-189.
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* [Mia1997] C. Miao, ''H^m-modified wave operator for nonlinear Hartree equation in the dimensions space n \geq 2'', Acta Math. Sinica '''15''' (1997), 247-268.
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D. Maxwell, Rough solutions of the Einstein constraint equations, preprint
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F. Merle, ''Construction of solutions with exactly k blow-up points for the Schrodinger equation with critical non-linearity'', Comm. Math. Phys. '''149''' (1992), 205-214.
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F. Merle, ''Asymptotics for L^2 minimal blowup solutions of critical nonlinear Schrodinger equation'', Ann. Inst. Henri Poincare '''13''' (1996), 553-565.
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* [MlSauTz-p2] L. Molinet, J.-C. Saut, N. Tzvetkov, ''Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation'', Duke Math J. 115 (2002), 352-384.
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F. Merle, ''Lower bounds for the blowup rate of solutions to the Zakharov equation in dimension 2'', Comm. Pure Appl. Math. '''49''' (1996), 765-794.
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F. Merle, P. Raphael, ''Blowup dynamic and upper bound on the blowup rate for the critical nonlinear Schrodinger equation'', preprint.
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F. Merle, P. Raphael, ''Sharp upper bound on the blowup rate for the critical nonlinear Schrodinger equation'', GAFA 13 (2003), 591-642.
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+
 
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F. Merle, P. Raphael, On universality of blowup profile for L^2 critical nonlinear Schrodinger equation, Invent. Math. 156 (2004), 565-672.
 +
 
 +
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 +
F. Merle, L. Vega, ''Compactness at blow-up time for L^2 solutions of the critical nonlinear Schrodinger equation in 2D'', IMRN '''9''' (1998), 399-425.
 +
 
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=====MeVe2003=====
 +
F. Merle, L. Vega, ''L^2 stability of solitons for the KdV equation'', IMRN 2003:13.
 +
 
 +
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F. Merle, H. Zaag, Determination of the blowup rate for the semilinear wave equation, AJM 125 (2003), 1147 - 1165
 +
 
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J. Metcalfe, ''[http://arxiv.org/abs/math.AP/0210227 Global Strichartz Estimates for Solutions to the Wave Equations Exterior to a Convex Obstacle]'', preprint
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J. Metcalfe, ''[http://arXiv.org/abs/math.AP/0210246 Global existence for semilinear wave equations exterior to nontrapping obstacles]'', preprint.
 +
 
 +
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J. Metcalfe, C.D. Sogge, ''[http://arxiv.org/abs/math/0301290 Hyperbolic trapped rays and global existence of quasilinear wave equations]'', preprint.
 +
 
 +
=====MetSo-p2=====
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J. Metcalfe, C.D. Sogge, ''[http://arxiv.org/abs/math.AP/0404420 Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions]'', preprint.
 +
 
 +
=====MetNkrSo-p=====
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J. Metcalfe, M. Nakamura, C. Sogge, Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains, preprint.
 +
 
 +
=====Mia1995=====
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C. Miao,'' The global existence and asymptotic of solution for the Klein-Gordon-Schrodinger equations'', Science in China, Ser. A, '''38''' (1995) 1444-1456.
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 +
=====Mia1997=====
 +
C. Miao, ''H^m-modified wave operator for nonlinear Hartree equation in the dimensions space n \geq 2'', Acta Math. Sinica '''15''' (1997), 247-268.
 +
 
 +
=====Mia1998=====
 +
C. Miao, ''On space-time means and solutions to a class of nonlinear parabolic equations'', Science in China, 42 (1998) 682-693.
 +
 
 +
=====Mia1999=====
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C. Miao, ''The well-posedness of Cauchy problem for the coupled system of Schrodinger-KdV equations'', Acta. Math. Sinica, '''15''' (1999), 215-224.
 +
 
 +
=====MiaZgFg-p=====
 +
C. Miao, B. Zhang, D. Fang, ''Global well-posedness for the Klein-Gordon equation below the energy norm'', preprint.
 +
 
 +
=====MiaZg-p1=====
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C. Miao, B. Zhang, ''Besov spaces and self-similar solutions for nonlinear evolution equations'', preprint.
 +
 
 +
=====MiaZgZgx-p=====
 +
C. Miao, B. Zhang, X. Zhang, ''Self-similar solutions for nonlinear Schrodinger equations'', preprint.
 +
 
 +
=====MiaZgZgx-p2=====
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C. Miao, B. Zhang, X. Zhang, ''A note on self-similar solutions of the Schrodinger equation'', preprint.
 +
 
 +
=====Mi1976=====
 +
R. Miura, ''The Korteweg-de Vries equation: A survey of results'', SIAM Review '''18''' (1976), 412-459.
 +
 
 +
=====MiGarKru1968=====
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R. Miura, C. Gardner, M. Kruskal, ''Korteweg-de Vries equation and generalizations II. Existence of conservation laws and constant of motion'', JMP '''9''' (1968), 1204-1209.
 +
 
 +
=====Mzh1985=====
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S. Mizohata, ''On the Cauchy problem'', Notes and Reports in Math and Science and Engineering, Science Press & Academic Press '''3''' (1985).
 +
 
 +
=====Miz2001=====
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T. Mizumachi, ''[http://epubs.siam.org/sam-bin/dbq/article/34682 Large Time Asymptotics of Solutions Around Solitary Waves to the Generalized Korteweg-de Vries Equations]'', SIAM Journal on Mathematical Analysis Volume 32, Number 5 (2001) pp. 1050-1080
 +
 
 +
=====Ml1999=====
 +
L. Molinet, ''On the asymptotic behavior of solutions to the (generalized) Kadomtsev-Petviashvili-Burgers equations'', JDE '''152''' (1999), 30-74.
 +
 
 +
=====MlRi-p=====
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L. Molinet, F. Ribaud, Well-posedness results for the Benjamin-Ono equation with small initial data, preprint.
 +
 
 +
=====MlRi2001=====
 +
L. Molinet, F. Ribaud, The Cauchy problem for dissipative Korteweg-de Vries equations in Sobolev spaces of negative order, IUMJ 50(4) (2001), 1745-1776.
 +
 
 +
=====MlSauTz2001=====
 +
L. Molinet, J.-C. Saut, N. Tzvetkov, ''Ill-posedness issues for the Benjamin-Ono and related equations'', <font size="10.0pt">SIAM J. Math. Anal. '''33''' (2001), 982--988.</font>
 +
 
 +
=====MlSauTz-p2=====
 +
L. Molinet, J.-C. Saut, N. Tzvetkov, ''Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation'', Duke Math J. 115 (2002), 352-384.
 +
 
 +
=====MlSauTz-p3=====
 +
L. Molinet, J.-C. Saut, N. Tzvetkov, ''Global well-posedness for the Kadomtsev-Petviashvili-I equation'', Math Annalen 324 (2002), 255-275.Errata, to appear, Math. Annalen.
 +
 
 +
=====Mc1980=====
 +
V. Moncrief, ''Global existence of Maxwell-Klein-Gordon fields in (2+1)-dimensional spacetime'', J. Math. Phys. '''21''' (1980), 2291-2296.
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=====Mo1998=====
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S.J. Montgomery-Smith, ''Time Decay for the Bounded Mean Oscillation of Solutions of the Schrodinger and Wave Equation'', Duke Math J. '''19''' (1998), 393-408.
 +
 
 +
=====Mz1961=====
 +
C.S. Morawetz, ''The decay of solutions to the exterior initial-boundary problem for the wave equation'', CPAM '''14'''(1961), 561-568.
 +
 
 +
=====Mz1966=====
 +
C.S. Morawetz, ''Exponential decay of solutions to the wave equation'', Comm. Pure and Appl. Math. '''19''' (1966), 439-444.
 +
 
 +
=====Mz1968=====
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C.S. Morawetz, ''Time decay for the non-linear Klein-Gordon equation'', Proc. Roy. Soc. A '''306''' (1968), 291-296.
 +
 
 +
=====Mz1975=====
 +
C.S. Morawetz, Decay for solutions of the exterior problem for the wave equation, CPAM 28 (1975), 229-264.
 +
 
 +
=====MzRalSr1977=====
 +
C.S. Morawetz, J. Ralston, W. Strauss, Decay of solutions of the wave equation outside of convex obstacles, CPAM 30 (1977), 447-508.
 +
 
 +
=====Mr1997=====
 +
K. Moriyama, ''Normal'''' forms and global existence of solutions to a class of cubic nonlinear Klein-Gordon equations in one space dimension'', DIE '''10''' (1997) 499-520.
 +
 
 +
=====MrTwTs1997=====
 +
K. Moriyama, S. Tonegawa, Y. Tsutsumi, ''Almost global existence of solutions for the quadratic semilinear Klein-Gordon equation in one space dimension.'' Funkcial. Ekvac. '''40''' (1997), 313-333
 +
 
 +
=====MyVaVg1996=====
 +
A. Moyua, A. Vargas, L. Vega, ''Schrodinger Maximal Function and Restriction Properties of the Fourier transform'', International Math. Research Notices 16 (1996).
 +
 
 +
=====MuSw1996=====
 +
S. Muller, M. Struwe, ''Global existence of wave maps in 1+2 dimensions with finite energy data''. Topol. Methods Nonlinear Anal. '''8''' (1996), 245-259.
 +
 
 +
=====MurTao-p=====
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T. Muramatu, S. Taoka, ''The initial value problem for the 1-D semilinear Schrodinger equation in Besov spaces'', preprint.
  
 
<center>N</center>
 
<center>N</center>
  
* [NdStvUh2003] A. Nahmod, A. Stefanov, K. Uhlenbeck, ''[http://arxiv.org/abs/math.AP/0104125 On Schrodinger maps]'', CPAM '''56''' (2003), 114-151
+
 
* [NdStvUh2003b] A. Nahmod, A. Stefanov, K. Uhlenbeck, ''[http://arXiv.org/abs/math.AP/0109212 On the well-posedness of the wave map problem in high dimensions]'', Comm. Anal. Geom. '''11''' (2003), 49-83.
+
=====NdStvUh2003=====
* [Nj1990] B. Najman, ''The nonrelativistic limit of the nonlinear Klein-Gordon equation'', Nonlinear Anal. '''15''' (1990), 217-228.
+
A. Nahmod, A. Stefanov, K. Uhlenbeck, ''[http://arxiv.org/abs/math.AP/0104125 On Schrodinger maps]'', CPAM '''56''' (2003), 114-151
* [NkTs1986] K. Nakamitsu, Y. Tsutsumi, ''The Cauchy problem for the coupled Maxwell-Schrodinger equations'', JMP '''27''' (1983), 211-216.
+
 
* [NkrOz1997] M. Nakamura, T. Ozawa, ''Low energy scattering for nonlinear Schrodinger equations in fractional order Sobolev spaces'', Rev. Math. Phys. '''9''' (1997), 397-410.
+
=====NdStvUh2003b=====
* [NkrOz1998] M. Nakamura, T. Ozawa, ''Nonlinear Schrodinger equations in the Sobolev space of critical order'', JFA '''155''' (1998) 364-380.
+
A. Nahmod, A. Stefanov, K. Uhlenbeck, ''[http://arXiv.org/abs/math.AP/0109212 On the well-posedness of the wave map problem in high dimensions]'', Comm. Anal. Geom. '''11''' (2003), 49-83.
* [NkrOz-p] M. Nakamura, T. Ozawa, ''Small solutions to nonlinear Schrodinger and Klein-Gordon equations'', preprint.
+
 
* [NkrWad-p] M. Nakamura, T. Wada, ''[http://arxiv.org/abs/math.AP/0304486 Local well-posedness for the Maxwell-Schrodinger equation]'', preprint.
+
=====Nj1990=====
* [Na1999] K. Nakanishi, ''Local well-posedness and Illposedness in the critical Besov spaces for semilinear wave equations with quadratic forms'', Funk. Ekvac. '''42''' (1999), 261-279.
+
B. Najman, ''The nonrelativistic limit of the nonlinear Klein-Gordon equation'', Nonlinear Anal. '''15''' (1990), 217-228.
* [Na1999b] K. Nakanishi, ''Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity'', Comm. Partial Differential Equations. 24 (1999), 185-221.
+
 
* [Na1999c] K. Nakanishi, ''Energy scattering for non-linear Klein-Gordon and Schrodinger equations in spatial dimensions 1 and 2'', JFA '''169''' (1999), 201-225.
+
=====NkTs1986=====
* [Na1999d] K. Nakanishi, ''Scattering Theory for Nonlinear Klein-Gordon Equation with Sobolev Critical Power'', IMRN 1999, 31-60.
+
K. Nakamitsu, Y. Tsutsumi, ''The Cauchy problem for the coupled Maxwell-Schrodinger equations'', JMP '''27''' (1983), 211-216.
* [Na1999e] K. Nakanishi, ''Energy Scattering for Hartree equations'', MRL '''6''' (1999), 107-118.
+
 
* [Na-p] K. Nakanishi, ''Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations'', preprint.
+
=====NkrOz1997=====
* [Na2001] K. Nakanishi, ''Asymptotically free solutions for short range nonlinear Schrodinger equation'', SIAM J. Math Anal. '''32''' (2001), 1265-1271.
+
M. Nakamura, T. Ozawa, ''Low energy scattering for nonlinear Schrodinger equations in fractional order Sobolev spaces'', Rev. Math. Phys. '''9''' (1997), 397-410.
* [Na-p3] K. Nakanishi, ''Modified wave operators for the Hartree equation with data, image, and convergence in the same space'', preprint.
+
 
* [Na-p4] K. Nakanishi, ''Modified wave operators for the Hartree equation with data, image, and convergence in the same space II'', preprint.
+
=====NkrOz1998=====
* [Na-p5] K. Nakanishi, ''Remarks on the energy scattering for nonlinear Klein-Gordon and Schrodinger equations'', preprint.
+
M. Nakamura, T. Ozawa, ''Nonlinear Schrodinger equations in the Sobolev space of critical order'', JFA '''155''' (1998) 364-380.
* [NaOz2002] K. Nakanishi, T. Ozawa, ''[http://link.springer.de/link/service/journals/00030/bibs/2009001/20090045.htm Remarks on small data scattering for nonlinear Schrodinger equations]'', Nonlinear Diff. Eq. and Appl. 9 (2002), 45-68.
+
 
* [NaOz-p] K. Nakanishi, T. Ozawa, ''Global solutions for nonlinear Schrodinger equations with arbitrarily growing nonlinearity and contracted initial data'', preprint.
+
=====NkrOz-p=====
* [NaTkTs2001] K. Nakanishi, H. Takaoka, Y. Tsutsumi, ''Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrodinger equation'', Methods and Applications of Analysis '''8''' (2001), 569-578.
+
M. Nakamura, T. Ozawa, ''Small solutions to nonlinear Schrodinger and Klein-Gordon equations'', preprint.
* [Nk2001] M. Nakao, ''L^p estimates for the wave equation and global existence for semilinear wave equations in exterior domains'', Math. Annalen '''320''' (2001), 11-31.
+
 
* [NwOz1992] H. Nawa, T. Ozawa, ''Nonlinear scattering with nonlocal interaction'', Comm. Math. Phys. '''146''' (1992), 259-275.
+
=====NkrWad-p=====
* [Nw1990] H. Nawa, Convergence theorems for the pseudo-conformally invariant nonlinear Schrödinger equation. Proc. Japan Acad. Ser. A Math. Sci. 66 (1990), no. 7, 214--216.
+
M. Nakamura, T. Wada, ''[http://arxiv.org/abs/math.AP/0304486 Local well-posedness for the Maxwell-Schrodinger equation]'', preprint.
* [Nw1991] H. Nawa, Formation of singularities in solutions of the nonlinear Schrödinger equation. Proc. Japan Acad. Ser. A Math. Sci. 67 (1991), no. 1, 29--34.
+
 
* [Nw1992] H. Nawa, “Mass concentration" phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. Funkcial. Ekvac. 35 (1992), no. 1, 1--18.
+
=====Na1999=====
* [Nw1994] H. Nawa, Asymptotic profiles of blowup solutions to the nonlinear Schrodinger equation with critical power nonlinearity, J. Math. Soc. Japan 46 (1994), no. 4, 557--586.
+
K. Nakanishi, ''Local well-posedness and Illposedness in the critical Besov spaces for semilinear wave equations with quadratic forms'', Funk. Ekvac. '''42''' (1999), 261-279.
* [Nw1997] H. Nawa, Limiting profiles of blowup solutions of the nonlinear Schrodinger equation with critical power nonlinearity, Proc. Japan Acad. Ser. A Math Sci. 73 (1997), 171-175.
+
 
* [Nw1998] H. Nawa, Two points blow up in solutions to the nonlinear Schrodinger equation with quartic potential on R, J. Stat. Phys. 91 (1998), 439-458.
+
=====Na1999b=====
* [Nw1999] H. Nawa, ''Asymptotic and limiting profiles of blowup solutions of the nonlinear Schrodinger equation with critical power'', CPAM'''52''' (1999), 193-270.
+
K. Nakanishi, ''Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity'', Comm. Partial Differential Equations. 24 (1999), 185-221.
* [NwTs1989] H. Nawa, Y. Tsutsumi, On blow-up for the pseudo-conformally invariant nonlinear Schrödinger equation. Funkcial. Ekvac. 32 (1989), no. 3, 417--428.
+
 
* [NwTs1998] H. Nawa, Y. Tsutsumi, On blowup for the conformally invariant nonlinear Schrodinger equation II, CPAM 51 (1998), 373-383.
+
=====Na1999c=====
* [Nm1997] P.I. Naumkin, ''Asymptotics for large time for nonlinear Schrodinger equation'', Nonlinear waves (Sapporo, 1995), 367-373, GAKUTO Internat. Ser. Math. Sci. Appl., 10, Gakk\=otosho, Tokyo, 1997.
+
K. Nakanishi, ''Energy scattering for non-linear Klein-Gordon and Schrodinger equations in spatial dimensions 1 and 2'', JFA '''169''' (1999), 201-225.
* [Nm1997b] P.I. Naumkin, ''Asymptotic behavior for large time values of solutions of the nonlinear Schrödinger equation.'' (Russian) Izv. Ross. Akad. Nauk Ser. Mat. '''61''' (1997), no. 4, 81-118; translation in Izv. Math. '''61''' (1997), no. 4, 757-794.
+
 
* [Nic1996] J.P. Nicolas, Nonlinear Klein-Gordon equation on Schwarzschild-like metrics, J. Math. Pures Appl. (9) 74 (1995), 35-58.
+
=====Na1999d=====
* [NieSf2003] F. Nier, A. Soffer, ''Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator'', JFA '''198''' (2003), 511-535
+
K. Nakanishi, ''Scattering Theory for Nonlinear Klein-Gordon Equation with Sobolev Critical Power'', IMRN 1999, 31-60.
* [No1980] V. J. Novoksenov, ''Asymptotic behaviour as $t \to \infty$ of the solution to the Cauchy problem for a nonlinear Schr\"odinger equation'' (Russian), Dokl. Akad. Nauk SSSR '''251''' (1980), 799-802.
+
 
 +
=====Na1999e=====
 +
K. Nakanishi, ''Energy Scattering for Hartree equations'', MRL '''6''' (1999), 107-118.
 +
 
 +
=====Na-p=====
 +
K. Nakanishi, ''Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations'', preprint.
 +
 
 +
=====Na2001=====
 +
K. Nakanishi, ''Asymptotically free solutions for short range nonlinear Schrodinger equation'', SIAM J. Math Anal. '''32''' (2001), 1265-1271.
 +
 
 +
=====Na-p3=====
 +
K. Nakanishi, ''Modified wave operators for the Hartree equation with data, image, and convergence in the same space'', preprint.
 +
 
 +
=====Na-p4=====
 +
K. Nakanishi, ''Modified wave operators for the Hartree equation with data, image, and convergence in the same space II'', preprint.
 +
 
 +
=====Na-p5=====
 +
K. Nakanishi, ''Remarks on the energy scattering for nonlinear Klein-Gordon and Schrodinger equations'', preprint.
 +
 
 +
=====NaOz2002=====
 +
K. Nakanishi, T. Ozawa, ''[http://link.springer.de/link/service/journals/00030/bibs/2009001/20090045.htm Remarks on small data scattering for nonlinear Schrodinger equations]'', Nonlinear Diff. Eq. and Appl. 9 (2002), 45-68.
 +
 
 +
=====NaOz-p=====
 +
K. Nakanishi, T. Ozawa, ''Global solutions for nonlinear Schrodinger equations with arbitrarily growing nonlinearity and contracted initial data'', preprint.
 +
 
 +
=====NaTkTs2001=====
 +
K. Nakanishi, H. Takaoka, Y. Tsutsumi, ''Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrodinger equation'', Methods and Applications of Analysis '''8''' (2001), 569-578.
 +
 
 +
=====Nk2001=====
 +
M. Nakao, ''L^p estimates for the wave equation and global existence for semilinear wave equations in exterior domains'', Math. Annalen '''320''' (2001), 11-31.
 +
 
 +
=====NwOz1992=====
 +
H. Nawa, T. Ozawa, ''Nonlinear scattering with nonlocal interaction'', Comm. Math. Phys. '''146''' (1992), 259-275.
 +
 
 +
=====Nw1990=====
 +
H. Nawa, Convergence theorems for the pseudo-conformally invariant nonlinear Schrödinger equation. Proc. Japan Acad. Ser. A Math. Sci. 66 (1990), no. 7, 214--216.
 +
 
 +
=====Nw1991=====
 +
H. Nawa, Formation of singularities in solutions of the nonlinear Schrödinger equation. Proc. Japan Acad. Ser. A Math. Sci. 67 (1991), no. 1, 29--34.
 +
 
 +
=====Nw1992=====
 +
H. Nawa, \u201cMass concentration" phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. Funkcial. Ekvac. 35 (1992), no. 1, 1--18.
 +
 
 +
=====Nw1994=====
 +
H. Nawa, Asymptotic profiles of blowup solutions to the nonlinear Schrodinger equation with critical power nonlinearity, J. Math. Soc. Japan 46 (1994), no. 4, 557--586.
 +
 
 +
=====Nw1997=====
 +
H. Nawa, Limiting profiles of blowup solutions of the nonlinear Schrodinger equation with critical power nonlinearity, Proc. Japan Acad. Ser. A Math Sci. 73 (1997), 171-175.
 +
 
 +
=====Nw1998=====
 +
H. Nawa, Two points blow up in solutions to the nonlinear Schrodinger equation with quartic potential on R, J. Stat. Phys. 91 (1998), 439-458.
 +
 
 +
=====Nw1999=====
 +
H. Nawa, ''Asymptotic and limiting profiles of blowup solutions of the nonlinear Schrodinger equation with critical power'', CPAM'''52''' (1999), 193-270.
 +
 
 +
=====NwTs1989=====
 +
H. Nawa, Y. Tsutsumi, On blow-up for the pseudo-conformally invariant nonlinear Schrödinger equation. Funkcial. Ekvac. 32 (1989), no. 3, 417--428.
 +
 
 +
=====NwTs1998=====
 +
H. Nawa, Y. Tsutsumi, On blowup for the conformally invariant nonlinear Schrodinger equation II, CPAM 51 (1998), 373-383.
 +
 
 +
=====Nm1997=====
 +
P.I. Naumkin, ''Asymptotics for large time for nonlinear Schrodinger equation'', Nonlinear waves (Sapporo, 1995), 367-373, GAKUTO Internat. Ser. Math. Sci. Appl., 10, Gakk\=otosho, Tokyo, 1997.
 +
 
 +
=====Nm1997b=====
 +
P.I. Naumkin, ''Asymptotic behavior for large time values of solutions of the nonlinear Schrödinger equation.'' (Russian) Izv. Ross. Akad. Nauk Ser. Mat. '''61''' (1997), no. 4, 81-118; translation in Izv. Math. '''61''' (1997), no. 4, 757-794.
 +
 
 +
=====Nic1996=====
 +
J.P. Nicolas, Nonlinear Klein-Gordon equation on Schwarzschild-like metrics, J. Math. Pures Appl. (9) 74 (1995), 35-58.
 +
 
 +
=====NieSf2003=====
 +
F. Nier, A. Soffer, ''Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator'', JFA '''198''' (2003), 511-535
 +
 
 +
=====No1980=====
 +
V. J. Novoksenov, ''Asymptotic behaviour as $t \to \infty$ of the solution to the Cauchy problem for a nonlinear Schr\"odinger equation'' (Russian), Dokl. Akad. Nauk SSSR '''251''' (1980), 799-802.
  
 
<center>O</center>
 
<center>O</center>
  
* [Ob1989] D. Oberlin, Convolution estimates for some distributions with singularities on the light cone, Duke Math J. 59 (1989), 747-757.
+
 
* [OgOz1991] T. Ogawa, T. Ozawa, ''Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrodinger equation'', JMAA '''155''' (1991) 531-540.
+
=====Ob1989=====
* [OgTs1989] T. Ogawa, Y. Tsutsumi, ''Blowup solutions for the nonlinear Schrodinger equation with quartic potential and periodic boundary conditions'', LNM 1450 (1989), 236-261.
+
D. Oberlin, Convolution estimates for some distributions with singularities on the light cone, Duke Math J. 59 (1989), 747-757.
* [OgTs1991] T. Ogawa, Y. Tsutsumi, ''Blow-up of H^1 solution for the nonlinear Schrödinger equation''. J. Differential Equations '''92''' (1991), no. 2, 317-330.
+
 
* [Oh1989] Y-G. Oh, ''Cauchy's problem and Ehrenfest's law for nonlinear Schrodinger equations with potentials'', JDE '''81''' (1989), 255-274.
+
=====OgOz1991=====
* [On1975] H. Ono, Algebraic solitary waves in stratified fluids, J. Phys.Soc. Japan '''39''' (1975), 1082-1091.
+
T. Ogawa, T. Ozawa, ''Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrodinger equation'', JMAA '''155''' (1991) 531-540.
* [OttSud1970] E. Ott, N. Sudan, Damping of solitary waves, Phys. Fluids 13(6) (1970), 1432-1434.
+
 
* [Oz1991] T. Ozawa, ''Long range scattering for nonlinear Schrodinger equations in one space dimension'', CMP '''139''' (1991), 479-493
+
=====OgTs1989=====
* [Oz1995] T. Ozawa, ''Remarks on quadratic nonlinear Schrodinger equations'', Funkcial. Ekvac. '''38''' (1995), 217-232.
+
T. Ogawa, Y. Tsutsumi, ''Blowup solutions for the nonlinear Schrodinger equation with quartic potential and periodic boundary conditions'', LNM 1450 (1989), 236-261.
* [Oz1996] T. Ozawa, ''On the nonlinear Schrodinger equations of derivative type'', Indiana Univ. Math. J. '''45''' (1996), 137-163.
+
 
* [OzTs1992] T. Ozawa, Y. Tsutsumi, ''Existence and smoothing effect of solutions for the Zakharov equations'', RIMS. Kyoto U. '''28''' (1992), 329-361.
+
=====OgTs1991=====
* [OzTs1992b] T. Ozawa, Y. Tsutsumi, ''The nonlinear Schrodinger limit and the initial layer of the Zakharov equations, ''Diff. Int. Eq. '''5''' (1992) 721-745.
+
T. Ogawa, Y. Tsutsumi, ''Blow-up of H^1 solution for the nonlinear Schrödinger equation''. J. Differential Equations '''92''' (1991), no. 2, 317-330.
* [OzTs1994] T. Ozawa, Y. Tsutsumi, ''Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions. ''Adv. Math. Sci. Appl. '''3''' (1993/94), Special Issue, 301-334.
+
 
* [OzTs1994b]. T. Ozawa, Y. Tsutsumi, ''Asymptotic behaviour of solutions for the coupled Klein-Gordon-Schrodinger equations'', in Spectral and Scattering theory and Applications, Adv. Stud. in Pure Math, Jap. Math. Soc. '''23''' (1994), 295-305.
+
=====Oh1989=====
* [OzTs1998] T. Ozawa, Y. Tsutsumi, ''Space-time estimates for null gauge forms and nonlinear Schrödinger equations''. Differential Integral Equations '''11''' (1998), 201-222
+
Y-G. Oh, ''Cauchy's problem and Ehrenfest's law for nonlinear Schrodinger equations with potentials'', JDE '''81''' (1989), 255-274.
* [OzTyTs1995] T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''Normal'''' form and global solutions for the Klein-Gordon-Zakharov equations.'' Ann. Inst. H. Poincare Anal. Non Lineaire '''12 '''(1995), 459-503.
+
 
* [OzTyTs1996] T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''Global existence and asymptotic behavior of solutions for the Klein-Gordon equation with quadratic non-linearity in two space dimensions'', Math. Z. '''222''' (1996), 341-362.
+
=====On1975=====
* [OzTyTs1997] T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''Remarks on the Klein-Gordon equation with quadratic nonlinearity in two space dimensions''. Nonlinear waves (Sapporo, 1995), 383-392, GAKUTO Internat. Ser. Math. Sci. Appl., 10, Gakkotosho, Tokyo, 1997.
+
H. Ono, Algebraic solitary waves in stratified fluids, J. Phys.Soc. Japan '''39''' (1975), 1082-1091.
* [OzTyTs1999] T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''Well-posedness in energy space for the Cauchy problem of Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions'', Math. Annalen. '''313''' (1999), 127-144.
+
 
* [OzTyTs2000] T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''On the coupled system of nonlinear wave equations with different propagation speeds'', Proc. Conf. "Evolution Equations: Existence, Regularity and Singularities", Banach Center publications '''52''', Warsawa 2000
+
=====OttSud1970=====
 +
E. Ott, N. Sudan, Damping of solitary waves, Phys. Fluids 13(6) (1970), 1432-1434.
 +
 
 +
=====Oz1991=====
 +
T. Ozawa, ''Long range scattering for nonlinear Schrodinger equations in one space dimension'', CMP '''139''' (1991), 479-493
 +
 
 +
=====Oz1995=====
 +
T. Ozawa, ''Remarks on quadratic nonlinear Schrodinger equations'', Funkcial. Ekvac. '''38''' (1995), 217-232.
 +
 
 +
=====Oz1996=====
 +
T. Ozawa, ''On the nonlinear Schrodinger equations of derivative type'', Indiana Univ. Math. J. '''45''' (1996), 137-163.
 +
 
 +
=====OzTs1992=====
 +
T. Ozawa, Y. Tsutsumi, ''Existence and smoothing effect of solutions for the Zakharov equations'', RIMS. Kyoto U. '''28''' (1992), 329-361.
 +
 
 +
=====OzTs1992b=====
 +
T. Ozawa, Y. Tsutsumi, ''The nonlinear Schrodinger limit and the initial layer of the Zakharov equations, ''Diff. Int. Eq. '''5''' (1992) 721-745.
 +
 
 +
=====OzTs1994=====
 +
T. Ozawa, Y. Tsutsumi, ''Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions. ''Adv. Math. Sci. Appl. '''3''' (1993/94), Special Issue, 301-334.
 +
 
 +
=====OzTs1994b=====
 +
. T. Ozawa, Y. Tsutsumi, ''Asymptotic behaviour of solutions for the coupled Klein-Gordon-Schrodinger equations'', in Spectral and Scattering theory and Applications, Adv. Stud. in Pure Math, Jap. Math. Soc. '''23''' (1994), 295-305.
 +
 
 +
=====OzTs1998=====
 +
T. Ozawa, Y. Tsutsumi, ''Space-time estimates for null gauge forms and nonlinear Schrödinger equations''. Differential Integral Equations '''11''' (1998), 201-222
 +
 
 +
=====OzTyTs1995=====
 +
T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''Normal'''' form and global solutions for the Klein-Gordon-Zakharov equations.'' Ann. Inst. H. Poincare Anal. Non Lineaire '''12 '''(1995), 459-503.
 +
 
 +
=====OzTyTs1996=====
 +
T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''Global existence and asymptotic behavior of solutions for the Klein-Gordon equation with quadratic non-linearity in two space dimensions'', Math. Z. '''222''' (1996), 341-362.
 +
 
 +
=====OzTyTs1997=====
 +
T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''Remarks on the Klein-Gordon equation with quadratic nonlinearity in two space dimensions''. Nonlinear waves (Sapporo, 1995), 383-392, GAKUTO Internat. Ser. Math. Sci. Appl., 10, Gakkotosho, Tokyo, 1997.
 +
 
 +
=====OzTyTs1999=====
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T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''Well-posedness in energy space for the Cauchy problem of Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions'', Math. Annalen. '''313''' (1999), 127-144.
 +
 
 +
=====OzTyTs2000=====
 +
T. Ozawa, K. Tsutaya, Y. Tsutsumi, ''On the coupled system of nonlinear wave equations with different propagation speeds'', Proc. Conf. "Evolution Equations: Existence, Regularity and Singularities", Banach Center publications '''52''', Warsawa 2000
  
 
<center>P</center>
 
<center>P</center>
  
* [PaWghWgy2000] P. Pang, H. Wang, Y.D. Wang, ''Local existence for inhomogeneous Schrodigner flow of maps into Kahler manifolds'', Acta Math. Sinica '''16''' (2000), 487.
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* [PaWghWgy-p] P. Pang, H. Wang, Y.D. Wang, ''Schrodinger flow of maps into Kahler manifolds'', Asian J. Math, preprint.
+
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* [Pe1982] H. Pecher, ''Decay of solutions of nonlinear wave equations in three space dimensions'', J. Funct. Anal. '''46''' (1982), 221-229.
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P. Pang, H. Wang, Y.D. Wang, ''Local existence for inhomogeneous Schrodigner flow of maps into Kahler manifolds'', Acta Math. Sinica '''16''' (2000), 487.
* [Pe1984] H. Pecher, ''Nonlinear small data scattering for the wave and Klein-Gordon equations'', Math. Z. '''185''' (1984), 261-270.
+
 
* [Pe1985] H. Pecher, ''Low energy scattering for nonlinear Klein-Gordon equations'', J. Funct. Anal. '''63''' (1985), 101-122.
+
=====PaWghWgy-p=====
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P. Pang, H. Wang, Y.D. Wang, ''Schrodinger flow of maps into Kahler manifolds'', Asian J. Math, preprint.
 +
 
 +
=====Pe1982=====
 +
H. Pecher, ''Decay of solutions of nonlinear wave equations in three space dimensions'', J. Funct. Anal. '''46''' (1982), 221-229.
 +
 
 +
=====Pe1984=====
 +
H. Pecher, ''Nonlinear small data scattering for the wave and Klein-Gordon equations'', Math. Z. '''185''' (1984), 261-270.
 +
 
 +
=====Pe1985=====
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H. Pecher, ''Low energy scattering for nonlinear Klein-Gordon equations'', J. Funct. Anal. '''63''' (1985), 101-122.
 
* [[http://xxx.lanl.gov/abs/math/?0005030 Pe-p]] H. Pecher, ''[http://xxx.lanl.gov/abs/math/?0005030 Global well-posedness below energy space for the 1D Zakharov system]'', preprint.
 
* [[http://xxx.lanl.gov/abs/math/?0005030 Pe-p]] H. Pecher, ''[http://xxx.lanl.gov/abs/math/?0005030 Global well-posedness below energy space for the 1D Zakharov system]'', preprint.
* [Pe-p2] H. Pecher, ''[http://xxx.lanl.gov/abs/math/?0203219 Global solutions of the Klein-Gordon-Schrodinger system with rough data]'', preprint.
 
* [PgWs1992] R. Pego, M. Weinstein, Eigenvalues, and instability of solitary waves, Phil. Trans. R. Soc. London A 340 (1992), 47-94.
 
* [PgWs1994] R. Pego, M. Weinstein, Asymptotic stability of solitary waves, CMP 164 (1994), 305-349.
 
* [Pn1964] R. Penrose, ''Conformal treatment of infinity'', Relativite, Groupes et Topologie, Gordon and Breach NY (1964), 565-584.
 
* [Pn1965] R. Penrose, ''Gravitational collapse and space-time singularities'', Phys. Rev. Lett. '''14''' (1965) 57-59.
 
* [Per1997] G. Perelman, Some results on the scattering of weakly interacting solitions for nonlinear Schrodinger equations, in “Spectral theory, microlocal analysis, singular manifolds”, Akad. Verlag (1997), 78—137.
 
* [Per-p] G. Perelman, ''On the blow up phenomenon for the critical nonlinear Schrodinger equation in 1D'', preprint.
 
* [PvYn1989] V. Petviashvili, V. Yan'kov, ''Solitons and turbulence'', in B. B. Kadomtsev (ed.) Rev. Plasma Physics XIV (1989), 1-62
 
* [PiWn1997] C.A. Pillet, C.E. Wayne, ''Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations'', JDE '''141''' (1997), 310-326.
 
* [Pl2000] F. Planchon, ''On the Cauchy problem in Besov spaces for a nonlinear Schrodinger equation'', Commun. Contemp. Math. '''2''' (2000), 243-254.
 
* [Pl2002] F. Planchon, ''Remarks on Strichartz estimates on null forms'', DIE 15 (2002), 697-708
 
* [Pl-p] F. Planchon, ''Dispersive estimates and the 2D cubic NLS equation'', preprint.
 
* [Pl-p2] F. Planchon, ''On self-similar solutions, well-posedness, and the conformal wave equation'', preprint.
 
* [Pl-p4] F. Planchon, ''Self-similar solutions and Besov spaces for semi-linear Schrödinger and wave equations'', Proc. Journees EDP, St Jean de Monts, 1999.
 
* [Pl-p5] F. Planchon, ''On uniqueness for semilinear wave equations'', preprint.
 
  
* [PlStaTv2003] <font color="black">F. Planchon, J. Stalker, A. Shadi Tahvidar-Zadeh, L^p estimates for the Wave Equation with the Inverse-Square Potential, Discrete Contin. Dynam. Systems. 9(2003) 427—442.</font>
+
=====Pe-p2=====
* [Pm1976] K. Pohlmeyer, ''Integrable Hamiltonian systems and interaction through quadratic constraints'', Comm. Math. Phys., '''46''' (1976), 207-221.
+
H. Pecher, ''[http://xxx.lanl.gov/abs/math/?0203219 Global solutions of the Klein-Gordon-Schrodinger system with rough data]'', preprint.
* [Po1989] G. Ponce, ''Regularity of solutions to nonlinear dispersive equations'', J. Diff. Eq. '''78''' (1989), 122-135.
+
 
* [Po1991] G. Ponce, ''On the global well-posedness of the Benjamin-Ono equation'', DIE '''4''' (1991), 527-542.
+
=====PgWs1992=====
* [PoSi1993] G. Ponce, T. Sideris, ''Local regularity of nonlinear wave equations in three space dimensions'', CPDE '''18''' (1983), 169-177.
+
R. Pego, M. Weinstein, Eigenvalues, and instability of solitary waves, Phil. Trans. R. Soc. London A 340 (1992), 47-94.
* [PoVe1990] G. Ponce, L. Vega, ''Non-linear small data scattering for the generalized Korteweg-de Vries equation'', J. Funct. Anal. '''90''' (1990), 445-457.
+
 
* [Pop2001] M. Poppenberg,<span style="mso-bidi-font-size: 11.0pt"><font color="#121212"> On the local well posedness of quasilinear Schrödinger equations in arbitrary space dimension. [http://www.ams.org/msnmain?fn=305&pg1=CN&s1=J_Differential_Equations&v1=J%2E%20Differential%20Equations ''J. Differential Equations''] '''172 '''(2001), [http://www.ams.org/msnmain?fn=130&pg1=ISSI&s1=190993&v1=Journal%20of%20Differential%20Equations%20%5B%20172%20%282001%29%2C%20no%2E%201%5D no. 1,] 83--115.</font></span>
+
=====PgWs1994=====
* <span style="mso-bidi-font-size: 11.0pt"><font color="#121212">[Pop2001b] M. Poppenberg, Smooth solutions for a class of fully nonlinear Schrödinger type equations. [http://www.ams.org/msnmain?fn=305&pg1=CN&s1=Nonlinear_Anal&v1=Nonlinear%20Anal%2E ''Nonlinear Anal.''] '''45 '''(2001), [http://www.ams.org/msnmain?fn=130&pg1=ISSI&s1=193277&v1=Nonlinear%20Analysis%2E%20Theory%2C%20Methods%20%26%20Applications%2E%20An%20International%20%20Multidisciplinary%20Journal%2E%20Series%20A%3A%20Theory%20and%20Methods%20%5B%2045%20%282001%20 no. 6, Ser. A: Theory Methods,] 723--741.</font></span>
+
R. Pego, M. Weinstein, Asymptotic stability of solitary waves, CMP 164 (1994), 305-349.
 +
 
 +
=====Pn1964=====
 +
R. Penrose, ''Conformal treatment of infinity'', Relativite, Groupes et Topologie, Gordon and Breach NY (1964), 565-584.
 +
 
 +
=====Pn1965=====
 +
R. Penrose, ''Gravitational collapse and space-time singularities'', Phys. Rev. Lett. '''14''' (1965) 57-59.
 +
 
 +
=====Per1997=====
 +
G. Perelman, Some results on the scattering of weakly interacting solitions for nonlinear Schrodinger equations, in \u201cSpectral theory, microlocal analysis, singular manifolds\u201d, Akad. Verlag (1997), 78\u2014137.
 +
 
 +
=====Per-p=====
 +
G. Perelman, ''On the blow up phenomenon for the critical nonlinear Schrodinger equation in 1D'', preprint.
 +
 
 +
=====PvYn1989=====
 +
V. Petviashvili, V. Yan'kov, ''Solitons and turbulence'', in B. B. Kadomtsev (ed.) Rev. Plasma Physics XIV (1989), 1-62
 +
 
 +
=====PiWn1997=====
 +
C.A. Pillet, C.E. Wayne, ''Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations'', JDE '''141''' (1997), 310-326.
 +
 
 +
=====Pl2000=====
 +
F. Planchon, ''On the Cauchy problem in Besov spaces for a nonlinear Schrodinger equation'', Commun. Contemp. Math. '''2''' (2000), 243-254.
 +
 
 +
=====Pl2002=====
 +
F. Planchon, ''Remarks on Strichartz estimates on null forms'', DIE 15 (2002), 697-708
 +
 
 +
=====Pl-p=====
 +
F. Planchon, ''Dispersive estimates and the 2D cubic NLS equation'', preprint.
 +
 
 +
=====Pl-p2=====
 +
F. Planchon, ''On self-similar solutions, well-posedness, and the conformal wave equation'', preprint.
 +
 
 +
=====Pl-p4=====
 +
F. Planchon, ''Self-similar solutions and Besov spaces for semi-linear Schrödinger and wave equations'', Proc. Journees EDP, St Jean de Monts, 1999.
 +
 
 +
=====Pl-p5=====
 +
F. Planchon, ''On uniqueness for semilinear wave equations'', preprint.
 +
 
 +
 
 +
=====PlStaTv2003=====
 +
<font color="black">F. Planchon, J. Stalker, A. Shadi Tahvidar-Zadeh, L^p estimates for the Wave Equation with the Inverse-Square Potential, Discrete Contin. Dynam. Systems. 9(2003) 427\u2014442.</font>
 +
 
 +
=====Pm1976=====
 +
K. Pohlmeyer, ''Integrable Hamiltonian systems and interaction through quadratic constraints'', Comm. Math. Phys., '''46''' (1976), 207-221.
 +
 
 +
=====Po1989=====
 +
G. Ponce, ''Regularity of solutions to nonlinear dispersive equations'', J. Diff. Eq. '''78''' (1989), 122-135.
 +
 
 +
=====Po1991=====
 +
G. Ponce, ''On the global well-posedness of the Benjamin-Ono equation'', DIE '''4''' (1991), 527-542.
 +
 
 +
=====PoSi1993=====
 +
G. Ponce, T. Sideris, ''Local regularity of nonlinear wave equations in three space dimensions'', CPDE '''18''' (1983), 169-177.
 +
 
 +
=====PoVe1990=====
 +
G. Ponce, L. Vega, ''Non-linear small data scattering for the generalized Korteweg-de Vries equation'', J. Funct. Anal. '''90''' (1990), 445-457.
 +
 
 +
=====Pop2001=====
 +
M. Poppenberg,<span style="mso-bidi-font-size: 11.0pt"><font color="#121212"> On the local well posedness of quasilinear Schrödinger equations in arbitrary space dimension. [http://www.ams.org/msnmain?fn=305&pg1=CN&s1=J_Differential_Equations&v1=J%2E%20Differential%20Equations ''J. Differential Equations''] '''172 '''(2001), [http://www.ams.org/msnmain?fn=130&pg1=ISSI&s1=190993&v1=Journal%20of%20Differential%20Equations%20%5B%20172%20%282001%29%2C%20no%2E%201%5D no. 1,] 83--115.</font></span>
 +
 
 +
=====Pop2001b=====
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M. Poppenberg, Smooth solutions for a class of fully nonlinear Schrödinger type equations. [http://www.ams.org/msnmain?fn=305&pg1=CN&s1=Nonlinear_Anal&v1=Nonlinear%20Anal%2E ''Nonlinear Anal.''] '''45 '''(2001), [http://www.ams.org/msnmain?fn=130&pg1=ISSI&s1=193277&v1=Nonlinear%20Analysis%2E%20Theory%2C%20Methods%20%26%20Applications%2E%20An%20International%20%20Multidisciplinary%20Journal%2E%20Series%20A%3A%20Theory%20and%20Methods%20%5B%2045%20%282001%20 no. 6, Ser. A: Theory Methods,] 723--741.</font></span>
  
 
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J. Ralston, Solutions of the wave equation with localized energy, CPAM 22(1969), 807-923.
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M. Rammaha, Finite-time blowup for nonlinear wave equations in high dimensions, CPDE 12 (1987), 677-700
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P. Raphael, Stability of the log-log bound for blowup solutions to the critical nonlinear Schrodinger equation, preprint.
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J. Rauch, Local decay of scattering solutions to Schrodinger's equation, CMP 61 (1978), 149-168.
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J. Rauch, ''The u^5 Klein-Gordon equation II. Anomalous singularities for semilinear wave equations'', in H. Brezis and P. Lions, editors, Nonlinear Partial Differential Equations and Their Applications, Research Not. in Math. '''53''' Pittman (1981), 335-364.
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J. Rauch, M. Reed, ''Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension'', Duke Math. J., '''49'''
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A. Rendall  and H. Friedrich, The Cauchy  problem for the  Einstein equations.  In  B. G. Schmidt  (ed) Einstein's  Field Equations and Their Physical Implications.  Lecture Notes in Physics 540. Springer, Berlin (2000).  gr-qc/0002074
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I. Rodnianski, W. Schlag, Time decay for solutions of Schrodinger equations with rough and time-dependent potentials, preprint.
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I. Rodnianski, W. Schlag, A. Soffer, Dispersive analysis of charge transfer models, preprint.
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I. Rodnianski, W. Schlag, A. Soffer, Asymptotic stability of N-soliton states of NLS, preprint.
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I. Rodnianski, T. Tao, Global regularity for the Maxwell-Klein-Gordon equation in high dimensions, preprint.
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H. Rose, M. Weinstein, On the bound states of the nonlinear Schrodinger equation with a linear potential, Physica D 30 (1998), 207-218
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+
=====Scf1986=====
* [SaTv1992] J. Shatah, A. Tavildar-Zadeh, Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds. Comm. Pure Appl. Math. 45 (1992), 947-971.
+
J. Schaeffer, The classical limit of the relativistic Vlasov-Maxwell system, CMP 104 (1986), 409-421.
* [SaTv1994] J. Shatah, A. Tavildar-Zadeh, On the Cauchy problem for equivariant wave maps, Comm. Pure Appl. Math., 47 (1994), 719 - 753.
+
 
* [SaTv1997] J. Shatah, A. Tavildar-Zadeh, On the stability of stationary wave maps, Comm. Math. Phys. 185 (1997), no. 1, 231-256.
+
=====Sch1998=====
* [SaSr1985] J. Shatah, W. Strauss, Instability of nonlinear bound states. Comm. Math. Phys. 100 (1985),  173-190.
+
G. Schneider, Approximation of the Korteweg-de Vries equation by the nonlinear Schr\"odinger equation, J. Differential Equations 147 (1998), 333-354.
* [SaSr1996] J. Shatah, W. Strauss, Breathers as homoclinic geometric wave maps, Physics D 99 (1996), 113-133.
+
 
* [SaSw1993] J. Shatah, M. Struwe, Regularity results for non-linear wave equations, Ann. of Math. 138 (1993) 503-518.
+
=====Scr1986=====
* [SaSw1994] J. Shatah, M. Struwe, Well Posedness in the energy space for semilinear wave equations with critical growth, Inter. Math. Research Not., 7 (1994).
+
P. Schuur, Asymptotic analysis of soliton problems, LNM 1232 (1986), Springer-Verlag, Berlin
* [SaSw1998] J. Shatah, M. Struwe, Geometric wave equations, Courant Lecture Notes in Mathematics 2 (1998)
+
 
* [SaSw2001] J. Shatah, M. Struwe, The Cauchy problem for wave maps, IMRN 2002:11 (2002) 555-571
+
=====SctWs1986=====
* [ShbTs1984] Y. Shibata, Y. Tsutsumi, Global existence theorem for nonlinear wave equation in exterior domains, Recent topics in nonlinear PDE (Hiroshima 1983), North-Holland Math. Stud., NY 98 (1984) 155-196.
+
S. Schochet, M. Weinstein, The nonlinear Schrodinger limit of the Zakharov equations governing Langmuir turbulence, Comm. Math. Phys. 106 (1986), 569-580.
* [ShbTs1986] Y. Shibata, Y. Tsutsumi, On a global existence theorem of small-amplitude solutions for nonlinear wave equations in an exterior domain, Math Z. 191 (1986), 165-199.
+
 
* [ShbTs1987] Y. Shibata, Y. Tsutsumi, Local existence of solution for the initial-boundary value problem of fully nonlinear wave equation, Nonlinear Anal. 11 (1987), 335-365.
+
=====Scz1987=====
* [ShiTon2004] A. Shimomura, S. Tonegawa, Long range scattering for nonlinear Schrodinger equations in one and two space dimensions, DIE 17 (2004), 127-150.
+
M. Schwarz Jr., Periodic solutions of Kadomtsev-Petviashvili, Adv. Math. 66 (1987) 217-233.
* [Shu1991] W-T. Shu, Asymptotic properties of solutions of the linear and nonlinear spin field equations in Minkowski space, CMP 140 (1991), 449-480.
+
 
* [Si1981] T. Sideris, Ph.D. Thesis, Bloomington Indiana U. 1981.
+
=====Sg1976=====
* [Si1983] T. Sideris, Global behavior of solutions to nonlinear wave equations in three space dmensions, CPDE 8 (1983), 1291-1323.
+
I.E. Segal, Space-time Decay for Solutions of Wave Equations, Adv. Math., 22 (1976), 304-311.
* [Si1984] T. Sideris, Non-existence of global solutions to semilinear wave equations in high dimensions, J. Diff. Eq. 52 (1984), 378-406.
+
 
* [Si1989] T. Sideris, Global existence of harmonic maps in Minkowski space, Comm. Pure Appl. Math., 42 (1989),1-13.
+
=====SeAb1976=====
* [Si1996] T. Sideris, The null condition and global existence of nonlinear elastic waves, Invent. Math. 123 (1996), 323-342.
+
H. Segur, M. Ablowitz, Asymptotic solutions and conservation laws for the nonlinear Schr\"odinger equation I. J. Math. Phys. 17 (1976), 710-713.
* [Si2000] T. Sideris, Nonresonance and global existence of prestressed nonlinear elastic waves, Annals. of Math. 151 (2000), 849-874.
+
 
* [SiTu-p] T. Sideris, S. Tu, Global existence for systems of nonlinear wave equations in 3D with multiple speeds, preprint.
+
=====Sb-p=====
* [SidSucSup1986] A. Sidi, C. Sulem, P.-L. Sulem, On the long-time behavior of a generalized KdV equation, Acta Applicandae Math. J. 7 (1986), 35-47.
+
S. Selberg, Multilinear space-time estimates and applications to local existence theory for non-linear wave equations, Princeton University Thesis.
* [SnTl1985] J. Simon, E. Taflin, Wave operators and analytic solutions for systems of nonlinear Klein-Gordon equations and of nonlinear Schrodinger equations, CMP 99 (1985), 541-562.
+
 
* [SnTl1993] J. Simon, E. Taflin, The Cauchy problem for non-linear Klein-Gordon equation and applications, Comm. Math. Phys. 152 (1993), 433-478.
+
=====Sb-p2=====
* [Sj1970] A. Sjoberg, On the Korteweg-de Vries equation: Existence and uniqueness, J. Math. Anal. Appl. 29 (1970), 569-579.
+
S. Selberg, Some remarks on well-posedness of nonlinear wave equations, preprint.
* [Sl1987] P. Sjolin, Regularity of solutions to the Schrodinger equation, Duke Math. J. 55 (1987), 699-715.
+
 
* [Smh1992] H. Smith, A parametrix construction for wave equation with C^{1,1} coefficients, Ann. d'Institut Fourier 48 (1998), 797 - 835.
+
=====Sb-p3=====
* [Smh-p] H. Smith, Small data scattering for a nonlinearly damped wave equation, preprint.
+
S. Selberg, Wave maps and bilinear spacetime estimates, preprint.
* [SmhSo1994] H. Smith, C.D. Sogge, L^p regularity for the wave equation with strictly convex obstacles, Duke Math. J. 73(1994), 97-155.
+
 
* [SmhSo1995] H. Smith, C.D. Sogge, On the critical semilinear wave equation outside convex obstacles, J. Amer. Math. Soc. (1995), 879-916.
+
=====Sb-p4=====
* [SmhSo-p] H. Smith, C.D. Sogge, Global Strichartz estimates for nontrapping perturbations of the Laplacian, CPDE 25 (2000), 2171-2183.
+
S. Selberg, On an estimate for the wave equation and applications to non-linear problems, preprint.
* [SmhSo-p2] H. Smith, C.D. Sogge, Null form estimates for (1/2,1/2) symbols and local existence for a quasilinear Dirichlet-wave equation, preprint.
+
 
* [SmhTt-p] H. Smith, D. Tataru, Sharp local well-posedness results for the nonlinear wave equation, preprint.
+
=====Sb-p5=====
* [SmhTt-p2] H. Smith, D. Tataru, Counterexamples to Strichartz estimates for the wave equation with nonsmooth coefficients, preprint.
+
S. Selberg, Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations on $\R^{1+4}$, preprint.
* [Smo1983] J. Smoller, Shock waves and reaction diffusion equations, Springer Verlag 1983
+
 
* [SfWs1990] A. Soffer, M. Weinstein, Multichannel nonlinear Scattering for nonintegrable equations, CMP 133 (1990), 119-146.
+
=====Sa1982=====
* [SfWs1999] A. Soffer, M. Weinstein, Resonances, radiation damping, and instability in Hamiltonian nonlinear wave equations, Invent. Math. 136 (1999), 9-74.
+
J. Shatah, Global existence of small solutions to nonlinear wave equations, JDE 46 (1982), 409-425.
* [SfWs-p] A. Soffer, M. Weinstein, Selection of the ground state for nonlinear Schrodinger equations, preprint.
+
 
* [So1993] C.D. Sogge, On local existence for nonlinear wave equations satisfying variable co-efficient null conditions, CPDE 18 (1993) 1795-1821.
+
=====Sa1983=====
* [So1995] C.D. Sogge, Lectures on Nonlinear Wave Equations, Monographs in Analysis II, International Press, 1995.
+
J. Shatah, Unstable ground state of nonlinear Klein Gordon equations, Trans. Amer. Math. Soc. 290 (1985), 701-710.
* [So2001] C.D. Sogge, Global existence for nonlinear wave equations with multiple speeds, Harmonic Analysis at Mount Holyoke (2001), 353-366, W. Beckner, A. Nagel, A. Seeger, H. Smith editors, AMS.
+
 
* [So-p] C.D. Sogge, Estimates for the Dirichlet-wave equation and applications to nonlinear  wave equations, preprint.
+
=====Sa1985=====
* [Sy1992] A. Souyer, The Cauchy problem for the Ishimori equations, JFA 105 (1992), 233-255.
+
J. Shatah, Normal forms and quadratic non-linear Klein-Gordon equations, Comm. Pure. Appl. Math. 38 (1985), 685-696.
* [SpMk-p] C. Sparber, P. Markowich, Semiclassical asymptotics for the Maxwell-Dirac system, preprint.
+
 
* [St1995] G. Staffilani, University of Chicago Thesis.
+
=====Sa1988=====
* [St1997] G. Staffilani, Quadratic forms for a 2D semilinear Schrodinger equation, Duke Math J. 86 (1997), 79-107.
+
J. Shatah, Weak solutions and development of singularities of the SU(2) sigma-model, Comm. Pure Appl. Math., 41 (1988), 459-469.
* [St1997b] G. Staffilani, On the growth of high Sobolev norms of solutions for KdV and Schrodinger equations, Duke Math J. 86 (1997), 109-142.
+
 
* [St1997c] G. Staffilani, On solutions for periodic generalized KdV equations,IMRN 18 (1997), 899-917.
+
=====Sa1988b=====
* [St1997d] G. Staffilani, On the generalized KdV equations, DIE 10 (1997), 777-796.
+
J. Shatah, Recent advances in nonlinear wave equations. Dynamical problems in continuum physics (Minneapolis, Minn., 1985), 305-309, IMA Vol. Math. Appl., 4, Springer, New York-Berlin, 1987
* [St2001] G. Staffilani, KdV and almost conservation laws, Harmonic Analysis at Mount Holyoke (2001), 367-382, W. Beckner, A. Nagel, A. Seeger, H. Smith editors, AMS.
+
 
* [StTt-p] G. Staffilani, D. Tataru, Strichartz estimates for a Schrodinger operator with rough coefficients, preprint.
+
=====Sa1994=====
* [Stv-p] A. Stefanov, Strichartz estimates for the Schrodinger equation with radial data, preprint.
+
J. Shatah, The Cauchy problem for harmonic maps on Minkowski space, in Proceed. Inter. Congress of Math. 1994, Birkh\"auser, 1126-1132.
* [Stz-p2] J. Sterbenz, Global Regularity and Scattering for General Non-Linear Wave Equations  II. (4+1) Dimensional Yang--Mills Equations in the Lorentz Gauge, preprint
+
 
* [Stz-p3] J. Sterbenz, Global regularity and Scattering for general non-linear Wave Equations I. (6+1) and higher dimensions, preprint.
+
=====Sa1994b=====
* [Stz-p4] J. Sterbenz, Angular regularity and Strichartz estimates for the wave equation, preprint.
+
J. Shatah, Geometric wave equations, Recent advances in partial differential equations (El Escorial, 1992), 99-114, RAM Res. Appl. Math., 30, Masson, Paris, 1994.
* [Sr1968] W. Strauss, Decay and asymptotics for \Box u = F(u), J. Funct. Anal. 2 (1968), 409-457.
+
 
* [Sr1974] W. Strauss, Nonlinear scattering theory, Scattering theory in mathematical physics, J. Lavita, J.P. Marchand (eds), Riedel, Dordrecht (1974), 705-714.
+
=====Sa1997=====
* [Sr1975] W. Strauss, Dispersal of waves vanishing on the boundary of an exterior domain, CPAM 28 (1975), 265-278.
+
J. Shatah, Regularity results for semilinear and geometric wave equations, Mathematics of gravitation, Part I (Warsaw, 1996), 69-90, Banach Center Publ., 41, Part I, Polish Acad. Sci., Warsaw, 1997.
* [Sr1977] W. Strauss, Existence of solitary waves in higher dimensions, CMP 55 (1977), 149-162.
+
 
* [Sr1978] W. Strauss, Nonlinear invariant wave equations, Lecture notes in physics, Springer 78 (1978), 197-249.
+
=====SaTv1992=====
* [Sr1981] W. Strauss, Non-linear scattering theory at low energy, J. Funct. Anal. 41 (1981), 110-133.
+
J. Shatah, A. Tavildar-Zadeh, Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds. Comm. Pure Appl. Math. 45 (1992), 947-971.
* [Sr1981b] W. Strauss, Non-linear scattering theory at low energy: sequel, J. Funct. Anal. 43 (1981), 281-293.
+
 
* [Sr1981c] W. Strauss, Dispersion of low-energy waves for two conservative equations, Arch. Rat. Mech. Anal. 55 (1974), 86-92.
+
=====SaTv1994=====
* [Sr1989] W. Strauss, Nonlinear wave equations, Regional Conf. Series in Math., 1989.
+
J. Shatah, A. Tavildar-Zadeh, On the Cauchy problem for equivariant wave maps, Comm. Pure Appl. Math., 47 (1994), 719 - 753.
* [SrVaz1986] W. Strauss, L. Vazquez, Stability under dilations of nonlinear spinor fields, Phys. Rev. D. (3) 34 (1986), 641-643.
+
 
* [Sz1977] R.S. Strichartz, Restriction of Fourier Transform to Quadratic Surfaces and Decay of Solutions of Wave Equations, Duke Math. J., 44 (1977), 705-713.
+
=====SaTv1997=====
* [Sz1981] R.S. Strichartz, Asymptotic behavior of waves, J. Funct. Anal. 40 (1981), 341-357.
+
J. Shatah, A. Tavildar-Zadeh, On the stability of stationary wave maps, Comm. Math. Phys. 185 (1997), no. 1, 231-256.
* [Sw1988] M. Struwe, Globally regular solutions to the u^5 Klein-Gordon equations, Ann. Scuola Norm. Sup. Pisa 15 (1988), 495-513.
+
 
* [Sw1992] M. Struwe, Semilinear wave equations, Bull. Amer. Math. Soc. 26 (1992), 53-85.
+
=====SaSr1985=====
* [Sw1997] M. Struwe, Wave Maps, in Nonlinear Partial Differential Equations in Geometry and Physics, Prog. in Nonlin. Diff. Eq. and their Applic., 29, (1997), Birkhauser, 113-150.
+
  J. Shatah, W. Strauss, Instability of nonlinear bound states. Comm. Math. Phys. 100 (1985),  173-190.
* [Sw2002] M. Struwe, Radially symmetric wave maps from the (1+2)-dimensional Minkowski space to a sphere, Math Z. 242 (2002), 407-414.
+
 
* [Sw2003] M. Struwe, Radially symmetric wave maps from (1+2)-dimensional Minkowski space to general targets, Calc. Var. 16 (2003), 431-437.
+
=====SaSr1996=====
* [Sw-p] M. Struwe, Evolution problems in Geometry and Mathematical Physics, AMS Prospects in Math. (ed. H. Rossi), 83-101.
+
J. Shatah, W. Strauss, Breathers as homoclinic geometric wave maps, Physics D 99 (1996), 113-133.
* [Sw-p2] M. Struwe, Equivariant wave maps in two space dimensions, preprint.
+
 
* [SucSup1979] C. Sulem, P. Sulem, Quelques resultats de regularite pour les equations de la turbulence de Langmuir, C. R. Acad. Sc. Paris. 289 Serie A (1979), 173-176.
+
=====SaSw1993=====
* [SucSup1999] C. Sulem, P. Sulem, The nonlinear Schrodinger equation: Self-Focusing and Wave Collapse, Applied Mathematical Sciences 139, Springer-Verlag, New York.
+
J. Shatah, M. Struwe, Regularity results for non-linear wave equations, Ann. of Math. 138 (1993) 503-518.
* [SucSupBds1986] C. Sulem, P. Sulem, C. Bardos, On the continuous limit of a system of classical spins, CMP 107 (1986), 431-454.
+
 
 +
=====SaSw1994=====
 +
J. Shatah, M. Struwe, Well Posedness in the energy space for semilinear wave equations with critical growth, Inter. Math. Research Not., 7 (1994).
 +
 
 +
=====SaSw1998=====
 +
J. Shatah, M. Struwe, Geometric wave equations, Courant Lecture Notes in Mathematics 2 (1998)
 +
 
 +
=====SaSw2001=====
 +
J. Shatah, M. Struwe, The Cauchy problem for wave maps, IMRN 2002:11 (2002) 555-571
 +
 
 +
=====ShbTs1984=====
 +
Y. Shibata, Y. Tsutsumi, Global existence theorem for nonlinear wave equation in exterior domains, Recent topics in nonlinear PDE (Hiroshima 1983), North-Holland Math. Stud., NY 98 (1984) 155-196.
 +
 
 +
=====ShbTs1986=====
 +
Y. Shibata, Y. Tsutsumi, On a global existence theorem of small-amplitude solutions for nonlinear wave equations in an exterior domain, Math Z. 191 (1986), 165-199.
 +
 
 +
=====ShbTs1987=====
 +
Y. Shibata, Y. Tsutsumi, Local existence of solution for the initial-boundary value problem of fully nonlinear wave equation, Nonlinear Anal. 11 (1987), 335-365.
 +
 
 +
=====ShiTon2004=====
 +
A. Shimomura, S. Tonegawa, Long range scattering for nonlinear Schrodinger equations in one and two space dimensions, DIE 17 (2004), 127-150.
 +
 
 +
=====Shu1991=====
 +
W-T. Shu, Asymptotic properties of solutions of the linear and nonlinear spin field equations in Minkowski space, CMP 140 (1991), 449-480.
 +
 
 +
=====Si1981=====
 +
T. Sideris, Ph.D. Thesis, Bloomington Indiana U. 1981.
 +
 
 +
=====Si1983=====
 +
T. Sideris, Global behavior of solutions to nonlinear wave equations in three space dmensions, CPDE 8 (1983), 1291-1323.
 +
 
 +
=====Si1984=====
 +
T. Sideris, Non-existence of global solutions to semilinear wave equations in high dimensions, J. Diff. Eq. 52 (1984), 378-406.
 +
 
 +
=====Si1989=====
 +
T. Sideris, Global existence of harmonic maps in Minkowski space, Comm. Pure Appl. Math., 42 (1989),1-13.
 +
 
 +
=====Si1996=====
 +
T. Sideris, The null condition and global existence of nonlinear elastic waves, Invent. Math. 123 (1996), 323-342.
 +
 
 +
=====Si2000=====
 +
T. Sideris, Nonresonance and global existence of prestressed nonlinear elastic waves, Annals. of Math. 151 (2000), 849-874.
 +
 
 +
=====SiTu-p=====
 +
T. Sideris, S. Tu, Global existence for systems of nonlinear wave equations in 3D with multiple speeds, preprint.
 +
 
 +
=====SidSucSup1986=====
 +
A. Sidi, C. Sulem, P.-L. Sulem, On the long-time behavior of a generalized KdV equation, Acta Applicandae Math. J. 7 (1986), 35-47.
 +
 
 +
=====SnTl1985=====
 +
J. Simon, E. Taflin, Wave operators and analytic solutions for systems of nonlinear Klein-Gordon equations and of nonlinear Schrodinger equations, CMP 99 (1985), 541-562.
 +
 
 +
=====SnTl1993=====
 +
J. Simon, E. Taflin, The Cauchy problem for non-linear Klein-Gordon equation and applications, Comm. Math. Phys. 152 (1993), 433-478.
 +
 
 +
=====Sj1970=====
 +
A. Sjoberg, On the Korteweg-de Vries equation: Existence and uniqueness, J. Math. Anal. Appl. 29 (1970), 569-579.
 +
 
 +
=====Sl1987=====
 +
P. Sjolin, Regularity of solutions to the Schrodinger equation, Duke Math. J. 55 (1987), 699-715.
 +
 
 +
=====Smh1992=====
 +
H. Smith, A parametrix construction for wave equation with C^{1,1} coefficients, Ann. d'Institut Fourier 48 (1998), 797 - 835.
 +
 
 +
=====Smh-p=====
 +
H. Smith, Small data scattering for a nonlinearly damped wave equation, preprint.
 +
 
 +
=====SmhSo1994=====
 +
H. Smith, C.D. Sogge, L^p regularity for the wave equation with strictly convex obstacles, Duke Math. J. 73(1994), 97-155.
 +
 
 +
=====SmhSo1995=====
 +
H. Smith, C.D. Sogge, On the critical semilinear wave equation outside convex obstacles, J. Amer. Math. Soc. (1995), 879-916.
 +
 
 +
=====SmhSo-p=====
 +
H. Smith, C.D. Sogge, Global Strichartz estimates for nontrapping perturbations of the Laplacian, CPDE 25 (2000), 2171-2183.
 +
 
 +
=====SmhSo-p2=====
 +
H. Smith, C.D. Sogge, Null form estimates for (1/2,1/2) symbols and local existence for a quasilinear Dirichlet-wave equation, preprint.
 +
 
 +
=====SmhTt-p=====
 +
H. Smith, D. Tataru, Sharp local well-posedness results for the nonlinear wave equation, preprint.
 +
 
 +
=====SmhTt-p2=====
 +
H. Smith, D. Tataru, Counterexamples to Strichartz estimates for the wave equation with nonsmooth coefficients, preprint.
 +
 
 +
=====Smo1983=====
 +
J. Smoller, Shock waves and reaction diffusion equations, Springer Verlag 1983
 +
 
 +
=====SfWs1990=====
 +
A. Soffer, M. Weinstein, Multichannel nonlinear Scattering for nonintegrable equations, CMP 133 (1990), 119-146.
 +
 
 +
=====SfWs1999=====
 +
A. Soffer, M. Weinstein, Resonances, radiation damping, and instability in Hamiltonian nonlinear wave equations, Invent. Math. 136 (1999), 9-74.
 +
 
 +
=====SfWs-p=====
 +
A. Soffer, M. Weinstein, Selection of the ground state for nonlinear Schrodinger equations, preprint.
 +
 
 +
=====So1993=====
 +
C.D. Sogge, On local existence for nonlinear wave equations satisfying variable co-efficient null conditions, CPDE 18 (1993) 1795-1821.
 +
 
 +
=====So1995=====
 +
C.D. Sogge, Lectures on Nonlinear Wave Equations, Monographs in Analysis II, International Press, 1995.
 +
 
 +
=====So2001=====
 +
C.D. Sogge, Global existence for nonlinear wave equations with multiple speeds, Harmonic Analysis at Mount Holyoke (2001), 353-366, W. Beckner, A. Nagel, A. Seeger, H. Smith editors, AMS.
 +
 
 +
=====So-p=====
 +
C.D. Sogge, Estimates for the Dirichlet-wave equation and applications to nonlinear  wave equations, preprint.
 +
 
 +
=====Sy1992=====
 +
A. Souyer, The Cauchy problem for the Ishimori equations, JFA 105 (1992), 233-255.
 +
 
 +
=====SpMk-p=====
 +
C. Sparber, P. Markowich, Semiclassical asymptotics for the Maxwell-Dirac system, preprint.
 +
 
 +
=====St1995=====
 +
G. Staffilani, University of Chicago Thesis.
 +
 
 +
=====St1997=====
 +
G. Staffilani, Quadratic forms for a 2D semilinear Schrodinger equation, Duke Math J. 86 (1997), 79-107.
 +
 
 +
=====St1997b=====
 +
G. Staffilani, On the growth of high Sobolev norms of solutions for KdV and Schrodinger equations, Duke Math J. 86 (1997), 109-142.
 +
 
 +
=====St1997c=====
 +
G. Staffilani, On solutions for periodic generalized KdV equations,IMRN 18 (1997), 899-917.
 +
 
 +
=====St1997d=====
 +
G. Staffilani, On the generalized KdV equations, DIE 10 (1997), 777-796.
 +
 
 +
=====St2001=====
 +
G. Staffilani, KdV and almost conservation laws, Harmonic Analysis at Mount Holyoke (2001), 367-382, W. Beckner, A. Nagel, A. Seeger, H. Smith editors, AMS.
 +
 
 +
=====StTt-p=====
 +
G. Staffilani, D. Tataru, Strichartz estimates for a Schrodinger operator with rough coefficients, preprint.
 +
 
 +
=====Stv-p=====
 +
A. Stefanov, Strichartz estimates for the Schrodinger equation with radial data, preprint.
 +
 
 +
=====Stz-p2=====
 +
J. Sterbenz, Global Regularity and Scattering for General Non-Linear Wave Equations  II. (4+1) Dimensional Yang--Mills Equations in the Lorentz Gauge, preprint
 +
 
 +
=====Stz-p3=====
 +
J. Sterbenz, Global regularity and Scattering for general non-linear Wave Equations I. (6+1) and higher dimensions, preprint.
 +
 
 +
=====Stz-p4=====
 +
J. Sterbenz, Angular regularity and Strichartz estimates for the wave equation, preprint.
 +
 
 +
=====Sr1968=====
 +
W. Strauss, Decay and asymptotics for \Box u = F(u), J. Funct. Anal. 2 (1968), 409-457.
 +
 
 +
=====Sr1974=====
 +
W. Strauss, Nonlinear scattering theory, Scattering theory in mathematical physics, J. Lavita, J.P. Marchand (eds), Riedel, Dordrecht (1974), 705-714.
 +
 
 +
=====Sr1975=====
 +
W. Strauss, Dispersal of waves vanishing on the boundary of an exterior domain, CPAM 28 (1975), 265-278.
 +
 
 +
=====Sr1977=====
 +
W. Strauss, Existence of solitary waves in higher dimensions, CMP 55 (1977), 149-162.
 +
 
 +
=====Sr1978=====
 +
W. Strauss, Nonlinear invariant wave equations, Lecture notes in physics, Springer 78 (1978), 197-249.
 +
 
 +
=====Sr1981=====
 +
W. Strauss, Non-linear scattering theory at low energy, J. Funct. Anal. 41 (1981), 110-133.
 +
 
 +
=====Sr1981b=====
 +
W. Strauss, Non-linear scattering theory at low energy: sequel, J. Funct. Anal. 43 (1981), 281-293.
 +
 
 +
=====Sr1981c=====
 +
W. Strauss, Dispersion of low-energy waves for two conservative equations, Arch. Rat. Mech. Anal. 55 (1974), 86-92.
 +
 
 +
=====Sr1989=====
 +
W. Strauss, Nonlinear wave equations, Regional Conf. Series in Math., 1989.
 +
 
 +
=====SrVaz1986=====
 +
W. Strauss, L. Vazquez, Stability under dilations of nonlinear spinor fields, Phys. Rev. D. (3) 34 (1986), 641-643.
 +
 
 +
=====Sz1977=====
 +
R.S. Strichartz, Restriction of Fourier Transform to Quadratic Surfaces and Decay of Solutions of Wave Equations, Duke Math. J., 44 (1977), 705-713.
 +
 
 +
=====Sz1981=====
 +
R.S. Strichartz, Asymptotic behavior of waves, J. Funct. Anal. 40 (1981), 341-357.
 +
 
 +
=====Sw1988=====
 +
M. Struwe, Globally regular solutions to the u^5 Klein-Gordon equations, Ann. Scuola Norm. Sup. Pisa 15 (1988), 495-513.
 +
 
 +
=====Sw1992=====
 +
M. Struwe, Semilinear wave equations, Bull. Amer. Math. Soc. 26 (1992), 53-85.
 +
 
 +
=====Sw1997=====
 +
M. Struwe, Wave Maps, in Nonlinear Partial Differential Equations in Geometry and Physics, Prog. in Nonlin. Diff. Eq. and their Applic., 29, (1997), Birkhauser, 113-150.
 +
 
 +
=====Sw2002=====
 +
M. Struwe, Radially symmetric wave maps from the (1+2)-dimensional Minkowski space to a sphere, Math Z. 242 (2002), 407-414.
 +
 
 +
=====Sw2003=====
 +
M. Struwe, Radially symmetric wave maps from (1+2)-dimensional Minkowski space to general targets, Calc. Var. 16 (2003), 431-437.
 +
 
 +
=====Sw-p=====
 +
M. Struwe, Evolution problems in Geometry and Mathematical Physics, AMS Prospects in Math. (ed. H. Rossi), 83-101.
 +
 
 +
=====Sw-p2=====
 +
M. Struwe, Equivariant wave maps in two space dimensions, preprint.
 +
 
 +
=====SucSup1979=====
 +
C. Sulem, P. Sulem, Quelques resultats de regularite pour les equations de la turbulence de Langmuir, C. R. Acad. Sc. Paris. 289 Serie A (1979), 173-176.
 +
 
 +
=====SucSup1999=====
 +
C. Sulem, P. Sulem, The nonlinear Schrodinger equation: Self-Focusing and Wave Collapse, Applied Mathematical Sciences 139, Springer-Verlag, New York.
 +
 
 +
=====SucSupBds1986=====
 +
C. Sulem, P. Sulem, C. Bardos, On the continuous limit of a system of classical spins, CMP 107 (1986), 431-454.
  
 
<center>T</center>
 
<center>T</center>
  
* [Tk1999] H. Takaoka, Well-posedness for the Schrodinger equation with the derivative non-linearity, Adv. Diff. Eq. 4 (1999), 561-680.
+
 
* [Tk2000] H. Takaoka, Global well-posedness for the Kadomtsev-Petviashvili II equation, Discrete Cont. Dynam. Systems 6 (2000), 483-499.
+
=====Tk1999=====
* [Tk-p] H. Takaoka, Global well-posedness for the Schrodinger equations with derivative non-linearity below energy, preprint.
+
H. Takaoka, Well-posedness for the Schrodinger equation with the derivative non-linearity, Adv. Diff. Eq. 4 (1999), 561-680.
* [Tk-p2] H. Takaoka, Well-posedness for the Kadomtsev-Petviashvili II equation, Adv. Diff. Eq., to appear.
+
 
* [Tk-p3] H. Takaoka, Well-posedness for the Zakharov system with the periodic boundary condition, Diff. Int. Eq. (1999).
+
=====Tk2000=====
* [Tk-p4] H. Takaoka, Well-posedness for the higher-order nonlinear Schrodinger equation, preprint (1996).
+
H. Takaoka, Global well-posedness for the Kadomtsev-Petviashvili II equation, Discrete Cont. Dynam. Systems 6 (2000), 483-499.
* [TkTz-p2] H. Takaoka, N. Tzvetkov, On 2D nonlinear Schrodinger equations with data on RxT, preprint.
+
 
* [TkTz-p3] H. Takaoka, N. Tzvetkov, On 2D dispersive models, preprint.
+
=====Tk-p=====
* [TkTz-p4] H. Takaoka, N. Tzvetkov, On the local regularity of Kadomtsev-Petviashvili-II equation, preprint.
+
H. Takaoka, Global well-posedness for the Schrodinger equations with derivative non-linearity below energy, preprint.
* [Tak1992] J. Takeuchi, Le probleme de Cauchy pour certaines equations sur derivees partielles du type de Schrodinger VIII; symetrisations independantes du temps, C.R. Acad. Sci. Paris t315, Serie 1 (1992), 1055-1058.
+
 
* [Ta1999] T. Tao, Low regularity semi-linear wave equations, Comm. PDE 24 (1999), 599-630
+
=====Tk-p2=====
* [Ta2000] T. Tao, Ill-posedness for one-dimensional wave maps at the critical regularity, Amer. J. Math.122 (2000), 451-463
+
H. Takaoka, Well-posedness for the Kadomtsev-Petviashvili II equation, Adv. Diff. Eq., to appear.
* [Ta2000b] T. Tao, Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation,  Comm. PDE 25 (2000), 1471-1485
+
 
* [Ta-p] T. Tao, Global well-posedness for the Benjamin-Ono equation in H^1(R), preprint.
+
=====Tk-p3=====
* [Ta-p2] T. Tao, Multilinear weighted convolution of L^2 functions, and applications to nonlinear dispersive equations, submitted, Amer. J. Math.
+
H. Takaoka, Well-posedness for the Zakharov system with the periodic boundary condition, Diff. Int. Eq. (1999).
* [Ta-p3] T. Tao, Local well-posedness of the Yang-Mills equation in the Temporal gauge below the energy norm, submitted, DIE.
+
 
* [Ta-p4] T. Tao, Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates, submitted, Math. Z.
+
=====Tk-p4=====
* [Ta-p5] T. Tao, Global regularity of wave maps I.  Small critical Sobolev norm in high dimension, IMRN7 (2001), 299-328.
+
H. Takaoka, Well-posedness for the higher-order nonlinear Schrodinger equation, preprint (1996).
* [Ta-p6] T. Tao, Global regularity of wave maps II.  Small energy in two dimensions, to appear, Comm. Math. Phys.
+
 
* [Ta-p7] T. Tao, On the asymptotic behavior of large radial data for a focusing non-linear Schr\"odinger equation, preprint.
+
=====TkTz-p2=====
* [Ta-p8] T. Tao, Global well-posedness and scattering for the higher-dimensional energy-critical non-linear Schrodinger equation for radial data, preprint.
+
H. Takaoka, N. Tzvetkov, On 2D nonlinear Schrodinger equations with data on RxT, preprint.
* [TaVa2000] T. Tao, A. Vargas, A bilinear approach to cone multipliers I. Restriction estimates, GAFA10 (2000), 185-215
+
 
* [TaVa2000b] T. Tao, A. Vargas, A bilinear approach to cone multipliers II. Applications, GAFA10 (2000), 216-258
+
=====TkTz-p3=====
* [Tar1995] S. Tarama, On the wellposed Cauchy problem for some dispersive equations, J. Math. Soc. Japan 47 (1995), 143-158.
+
H. Takaoka, N. Tzvetkov, On 2D dispersive models, preprint.
* [Tar1997] S. Tarama, Remarks on L^2-wellposed Cauchy problem for some dispersive equations, J. Math. Kyoto Univ. 37 (1997), 757-765.
+
 
* [Tt1996] D. Tataru, On the X^{s,\theta} spaces and unique continuation for semilinear hyperbolic equations, CPDE 21 (1996).
+
=====TkTz-p4=====
* [Tt1998] D. Tataru, Local and global results for wave maps I, CPDE 23 (1998), 1781-1793.
+
H. Takaoka, N. Tzvetkov, On the local regularity of Kadomtsev-Petviashvili-II equation, preprint.
* [Tt1999] D. Tataru, On the equation \Box u = |\nabla u|^2 in R^{5+1}, Math. Res. Letters 6 (1999), 469-485.
+
 
* [Tt2000] D. Tataru, Strichartz estimates for operators with non-smooth co-efficients and the non-linear wave equation, American Journal of Mathematics 122 (2000), 349-376.
+
=====Tak1992=====
* [Tt2001] D. Tataru, Strichartz estimates for second-order hyperbolic operators with nonsmooth coefficients II, AJM 123 (2001) 385-423.
+
J. Takeuchi, Le probleme de Cauchy pour certaines equations sur derivees partielles du type de Schrodinger VIII; symetrisations independantes du temps, C.R. Acad. Sci. Paris t315, Serie 1 (1992), 1055-1058.
* [Tt2001b] D. Tataru, On global existence and scattering for the wave maps equation, AJM 123 (2001), 37-77.
+
 
* [Tt2001c] D. Tataru, Null form estimates for second order hyperbolic operators with rough coefficients, Harmonic Analysis at Mount Holyoke (2001), 383-410, W. Beckner, A. Nagel, A. Seeger, H. Smith editors, AMS.
+
=====Ta1999=====
* [Tt2002] D. Tataru, Nonlinear wave equations, Proc. ICM 2002 III, 209-220
+
T. Tao, Low regularity semi-linear wave equations, Comm. PDE 24 (1999), 599-630
* [Tt-p] D. Tataru, Strichartz estimates in hyperbolic space and global existence for the semilinear wave equation, TAMS 353 (2001), 785-807.
+
 
* [Tt-p2] D. Tataru, Rough solutions for the wave maps equation, preprint.
+
=====Ta2000=====
* [Tt-p5] D. Tataru, Strichartz estimates for second-order hyperbolic operators with nonsmooth coefficients III, preprint.
+
T. Tao, Ill-posedness for one-dimensional wave maps at the critical regularity, Amer. J. Math.122 (2000), 451-463
* [Tt-p6] D. Tataru, Null form estimates for second order operators with rough co-efficients, preprint.
+
 
* [Tay2000] M. Taylor, Tools for PDE: Pseudodifferential Operators, Paradifferential Operators, and Layer potentials, Math. Surveys and Monographs 81, AMS 2001
+
=====Ta2000b=====
* [Tem1969] R. Temam, Sur un probleme nonlineaire, J. Math. Pures Appl. 48 (1969), 159-172.
+
T. Tao, Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation,  Comm. PDE 25 (2000), 1471-1485
* [TeUh-p] C.L. Terng, K. Uhlenbeck, Schrodinger flows on Grassmannians, in Integrable Systems, Geometry and Topology, Somerville MA: International Press.
+
 
* [TeUh-p2] C.L. Terng, K. Uhlenbeck, 1+1 wave maps into symmetric spaces, preprint.
+
=====Ta-p=====
* [Tom1990] M.M. Tom, Smoothing properties of some weak solutions of the Benjamin-Ono equation, DIE 3 (1990) 683-694.
+
T. Tao, Global well-posedness for the Benjamin-Ono equation in H^1(R), preprint.
* [Tom1996] M. M. Tom, On a generalized Kadomtsev-Petviashvili equation, Comteporary Mathematics AMS, 200 (1996), 193-210.
+
 
* [Tsa2003] T.P. Tsai, Asymptotic dynamics of nonlinear Schrodinger equations with many bound states, JDE 192 (2003), 225-282.
+
=====Ta-p2=====
* [TsaYau2002] T.P. Tsai, H.T. Yau, Asymptotic dynamics of nonlinear Schrodinger equations: resonance dominated and dispersion dominated solutions, CPAM 55 (2002), 153-216.
+
T. Tao, Multilinear weighted convolution of L^2 functions, and applications to nonlinear dispersive equations, submitted, Amer. J. Math.
* [TsaYau2002b] T.P. Tsai, H.T. Yau, Relaxation of excited states in nonlinear Schrodinger equations, IMRN 2002 (2002) 31, 1629-1673.
+
 
* [TsaYau2002c] T.P. Tsai, H.T. Yau, Stable directions for excited states of nonlinear Schrodinger equations, CPDE 27 (2002), 2363-2402.
+
=====Ta-p3=====
* [TsaYau-p] T.P. Tsai, H. T. Yau, Classification of asymptotic profiles of nonlinear Schrodinger equations with small initial data, preprint.
+
T. Tao, Local well-posedness of the Yang-Mills equation in the Temporal gauge below the energy norm, submitted, DIE.
* [Tg2000] K. Tsugawa, Well-posedness in the energy space for the Cauchy problem of the coupled system of complex scalar field and Maxwell equations, Funkcial. Ekvac. 43 (2000), 127-161.
+
 
* [Tg-p] K. Tsugawa, On the coupled system of non-linear wave equations with different propagation speeds in 1 and 2 spatial dimensions, preprint.
+
=====Ta-p4=====
* [Ty1998] K. Tsutaya, Local regularity of non-resonant nonlinear wave equations, Diff. Integr. Eqns 11 (1998), 279-292.
+
T. Tao, Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates, submitted, Math. Z.
* [Ts1984] Y. Tsutsumi, Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions, Nonlinear Anal. 8 (1984), 637-643.
+
 
* [Ts1985] Y. Tsutsumi, Scattering problem for nonlinear Schrodinger equations, Ann. Inst. H. Poincare, Phys. Theor. 43 (1985), 321-347.
+
=====Ta-p5=====
* [Ts1985b] Y. Tsutsumi, Global existence and asymptotic behavior of solutions for nonlinear Schrodinger equations, Doctoral Thesis, U. Tokyo (1985)
+
T. Tao, Global regularity of wave maps I.  Small critical Sobolev norm in high dimension, IMRN7 (2001), 299-328.
* [Ts1987] Y. Tsutsumi, L^2 solutions for nonlinear Schrodinger equations and nonlinear groups, Funk. Ekva. 30 (1987), 115-125.
+
 
* [Ts1989] Y. Tsutsumi, The Cauchy problem for the Korteweg-de Vries equation with measures as initial data, SIAM J. Math. Anal. 20 (1989), 582-588.
+
=====Ta-p6=====
* [Ts1990] Y. Tsutsumi, Rate of L^2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power. Nonlinear Anal. 15 (1990), no. 8, 719-724
+
T. Tao, Global regularity of wave maps II.  Small energy in two dimensions, to appear, Comm. Math. Phys.
* [Ts1993] Y. Tsutsumi, Global existence and asymptotic behaviour of solutions to the Maxwell-Schrodinger system in three space dimensions, CMP 151 (1993), 543-576.
+
 
* [Ts1994] Y. Tsutsumi, The null gauge condition and the one-dimensional nonlinear Schrödinger equation with cubic nonlinearity. Indiana Univ. Math. J. 43 (1994), no. 1, 241-254.
+
=====Ta-p7=====
* [Ts1995] Y. Tsutsumi, Global existence and uniqueness of energy solutions for the Maxwell-Schrödinger equations in one space dimension. Hokkaido Math. J. 24 (1995), 617-639.
+
T. Tao, On the asymptotic behavior of large radial data for a focusing non-linear Schr\"odinger equation, preprint.
* [TsmFu1980] M. Tsutsumi, I. Fukuda, On solutions to the derivative nonlinear Schrodinger equation.  Existence and Uniqueness theorem. Funk. Ekvac. 23 (1980), 259-277.
+
 
* [TsmFu1981] M. Tsutsumi, I. Fukuda, On solutions to the derivative nonlinear Schrodinger equation II. Funk. Ekvac. 24 (1981), 85-94.
+
=====Ta-p8=====
* [TsNk1985] Y. Tsutsumi, K. Nakamitsu, Global existence of solutions to the Cauchy problem for coupled Maxwell-Schroedinger equations in two space dimensions, Lecture Notes in Pure and Appl. Math. 102, Dekker, New York 1985.
+
T. Tao, Global well-posedness and scattering for the higher-dimensional energy-critical non-linear Schrodinger equation for radial data, preprint.
* [TsYa1984] Y. Tsutsumi, K. Yajima, The asymptotic behavior of nonlinear Schrodinger equations, Bull. AMS. 11 (1984) 186-188.
+
 
* [TrFl1985] S. Turitsyn, G. Falkovitch, Stability of magneto-elastic solitons and self-focusing of sound in antiferromagnet, Soviet Phys. JETP 62 (1985), 146-152.
+
=====TaVa2000=====
* [Tzi-p] N. Tzirakis, The Cauchy problem for the semilinear quintic Schrodinger equation in one dimension, the defocusing case, preprint.
+
T. Tao, A. Vargas, A bilinear approach to cone multipliers I. Restriction estimates, GAFA10 (2000), 185-215
* [Tz1999] N. Tzvetkov, On the Cauchy problem for Kadontsev-Petviashvili equations, Comm. PDE. 24 (1999), 1367-1397.
+
 
* [Tz1999b] N. Tzvetkov, Remark on the local ill-posedness for KdV equation, C.R. Acad. Sci. Paris (1999), 1043-1047.
+
=====TaVa2000b=====
* [Tz-p] N. Tzvetkov, Global low regularity solutions for Kadomtsev-Petviashvili equation, Diff. Int. Eq. (to appear).
+
T. Tao, A. Vargas, A bilinear approach to cone multipliers II. Applications, GAFA10 (2000), 216-258
* [Tz-p2] N. Tzvetkov, On the long-time behavior of KdV type equations (after Martel-Merle), preprint.
+
 
 +
=====Tar1995=====
 +
S. Tarama, On the wellposed Cauchy problem for some dispersive equations, J. Math. Soc. Japan 47 (1995), 143-158.
 +
 
 +
=====Tar1997=====
 +
S. Tarama, Remarks on L^2-wellposed Cauchy problem for some dispersive equations, J. Math. Kyoto Univ. 37 (1997), 757-765.
 +
 
 +
=====Tt1996=====
 +
D. Tataru, On the X^{s,\theta} spaces and unique continuation for semilinear hyperbolic equations, CPDE 21 (1996).
 +
 
 +
=====Tt1998=====
 +
D. Tataru, Local and global results for wave maps I, CPDE 23 (1998), 1781-1793.
 +
 
 +
=====Tt1999=====
 +
D. Tataru, On the equation \Box u = |\nabla u|^2 in R^{5+1}, Math. Res. Letters 6 (1999), 469-485.
 +
 
 +
=====Tt2000=====
 +
D. Tataru, Strichartz estimates for operators with non-smooth co-efficients and the non-linear wave equation, American Journal of Mathematics 122 (2000), 349-376.
 +
 
 +
=====Tt2001=====
 +
D. Tataru, Strichartz estimates for second-order hyperbolic operators with nonsmooth coefficients II, AJM 123 (2001) 385-423.
 +
 
 +
=====Tt2001b=====
 +
D. Tataru, On global existence and scattering for the wave maps equation, AJM 123 (2001), 37-77.
 +
 
 +
=====Tt2001c=====
 +
D. Tataru, Null form estimates for second order hyperbolic operators with rough coefficients, Harmonic Analysis at Mount Holyoke (2001), 383-410, W. Beckner, A. Nagel, A. Seeger, H. Smith editors, AMS.
 +
 
 +
=====Tt2002=====
 +
D. Tataru, Nonlinear wave equations, Proc. ICM 2002 III, 209-220
 +
 
 +
=====Tt-p=====
 +
D. Tataru, Strichartz estimates in hyperbolic space and global existence for the semilinear wave equation, TAMS 353 (2001), 785-807.
 +
 
 +
=====Tt-p2=====
 +
D. Tataru, Rough solutions for the wave maps equation, preprint.
 +
 
 +
=====Tt-p5=====
 +
D. Tataru, Strichartz estimates for second-order hyperbolic operators with nonsmooth coefficients III, preprint.
 +
 
 +
=====Tt-p6=====
 +
D. Tataru, Null form estimates for second order operators with rough co-efficients, preprint.
 +
 
 +
=====Tay2000=====
 +
M. Taylor, Tools for PDE: Pseudodifferential Operators, Paradifferential Operators, and Layer potentials, Math. Surveys and Monographs 81, AMS 2001
 +
 
 +
=====Tem1969=====
 +
R. Temam, Sur un probleme nonlineaire, J. Math. Pures Appl. 48 (1969), 159-172.
 +
 
 +
=====TeUh-p=====
 +
C.L. Terng, K. Uhlenbeck, Schrodinger flows on Grassmannians, in Integrable Systems, Geometry and Topology, Somerville MA: International Press.
 +
 
 +
=====TeUh-p2=====
 +
C.L. Terng, K. Uhlenbeck, 1+1 wave maps into symmetric spaces, preprint.
 +
 
 +
=====Tom1990=====
 +
M.M. Tom, Smoothing properties of some weak solutions of the Benjamin-Ono equation, DIE 3 (1990) 683-694.
 +
 
 +
=====Tom1996=====
 +
M. M. Tom, On a generalized Kadomtsev-Petviashvili equation, Comteporary Mathematics AMS, 200 (1996), 193-210.
 +
 
 +
=====Tsa2003=====
 +
T.P. Tsai, Asymptotic dynamics of nonlinear Schrodinger equations with many bound states, JDE 192 (2003), 225-282.
 +
 
 +
=====TsaYau2002=====
 +
T.P. Tsai, H.T. Yau, Asymptotic dynamics of nonlinear Schrodinger equations: resonance dominated and dispersion dominated solutions, CPAM 55 (2002), 153-216.
 +
 
 +
=====TsaYau2002b=====
 +
T.P. Tsai, H.T. Yau, Relaxation of excited states in nonlinear Schrodinger equations, IMRN 2002 (2002) 31, 1629-1673.
 +
 
 +
=====TsaYau2002c=====
 +
T.P. Tsai, H.T. Yau, Stable directions for excited states of nonlinear Schrodinger equations, CPDE 27 (2002), 2363-2402.
 +
 
 +
=====TsaYau-p=====
 +
T.P. Tsai, H. T. Yau, Classification of asymptotic profiles of nonlinear Schrodinger equations with small initial data, preprint.
 +
 
 +
=====Tg2000=====
 +
K. Tsugawa, Well-posedness in the energy space for the Cauchy problem of the coupled system of complex scalar field and Maxwell equations, Funkcial. Ekvac. 43 (2000), 127-161.
 +
 
 +
=====Tg-p=====
 +
K. Tsugawa, On the coupled system of non-linear wave equations with different propagation speeds in 1 and 2 spatial dimensions, preprint.
 +
 
 +
=====Ty1998=====
 +
K. Tsutaya, Local regularity of non-resonant nonlinear wave equations, Diff. Integr. Eqns 11 (1998), 279-292.
 +
 
 +
=====Ts1984=====
 +
Y. Tsutsumi, Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions, Nonlinear Anal. 8 (1984), 637-643.
 +
 
 +
=====Ts1985=====
 +
Y. Tsutsumi, Scattering problem for nonlinear Schrodinger equations, Ann. Inst. H. Poincare, Phys. Theor. 43 (1985), 321-347.
 +
 
 +
=====Ts1985b=====
 +
Y. Tsutsumi, Global existence and asymptotic behavior of solutions for nonlinear Schrodinger equations, Doctoral Thesis, U. Tokyo (1985)
 +
 
 +
=====Ts1987=====
 +
Y. Tsutsumi, L^2 solutions for nonlinear Schrodinger equations and nonlinear groups, Funk. Ekva. 30 (1987), 115-125.
 +
 
 +
=====Ts1989=====
 +
Y. Tsutsumi, The Cauchy problem for the Korteweg-de Vries equation with measures as initial data, SIAM J. Math. Anal. 20 (1989), 582-588.
 +
 
 +
=====Ts1990=====
 +
Y. Tsutsumi, Rate of L^2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power. Nonlinear Anal. 15 (1990), no. 8, 719-724
 +
 
 +
=====Ts1993=====
 +
Y. Tsutsumi, Global existence and asymptotic behaviour of solutions to the Maxwell-Schrodinger system in three space dimensions, CMP 151 (1993), 543-576.
 +
 
 +
=====Ts1994=====
 +
Y. Tsutsumi, The null gauge condition and the one-dimensional nonlinear Schrödinger equation with cubic nonlinearity. Indiana Univ. Math. J. 43 (1994), no. 1, 241-254.
 +
 
 +
=====Ts1995=====
 +
Y. Tsutsumi, Global existence and uniqueness of energy solutions for the Maxwell-Schrödinger equations in one space dimension. Hokkaido Math. J. 24 (1995), 617-639.
 +
 
 +
=====TsmFu1980=====
 +
M. Tsutsumi, I. Fukuda, On solutions to the derivative nonlinear Schrodinger equation.  Existence and Uniqueness theorem. Funk. Ekvac. 23 (1980), 259-277.
 +
 
 +
=====TsmFu1981=====
 +
M. Tsutsumi, I. Fukuda, On solutions to the derivative nonlinear Schrodinger equation II. Funk. Ekvac. 24 (1981), 85-94.
 +
 
 +
=====TsNk1985=====
 +
Y. Tsutsumi, K. Nakamitsu, Global existence of solutions to the Cauchy problem for coupled Maxwell-Schroedinger equations in two space dimensions, Lecture Notes in Pure and Appl. Math. 102, Dekker, New York 1985.
 +
 
 +
=====TsYa1984=====
 +
Y. Tsutsumi, K. Yajima, The asymptotic behavior of nonlinear Schrodinger equations, Bull. AMS. 11 (1984) 186-188.
 +
 
 +
=====TrFl1985=====
 +
S. Turitsyn, G. Falkovitch, Stability of magneto-elastic solitons and self-focusing of sound in antiferromagnet, Soviet Phys. JETP 62 (1985), 146-152.
 +
 
 +
=====Tzi-p=====
 +
N. Tzirakis, The Cauchy problem for the semilinear quintic Schrodinger equation in one dimension, the defocusing case, preprint.
 +
 
 +
=====Tz1999=====
 +
N. Tzvetkov, On the Cauchy problem for Kadontsev-Petviashvili equations, Comm. PDE. 24 (1999), 1367-1397.
 +
 
 +
=====Tz1999b=====
 +
N. Tzvetkov, Remark on the local ill-posedness for KdV equation, C.R. Acad. Sci. Paris (1999), 1043-1047.
 +
 
 +
=====Tz-p=====
 +
N. Tzvetkov, Global low regularity solutions for Kadomtsev-Petviashvili equation, Diff. Int. Eq. (to appear).
 +
 
 +
=====Tz-p2=====
 +
N. Tzvetkov, On the long-time behavior of KdV type equations (after Martel-Merle), preprint.
  
 
<center>U</center>
 
<center>U</center>
  
* [Uk1989] S. Ukai, Local solutions of the Kadomtsev-Petviashvili equation, J. Fac. Soc. Univ. Tokyo Sect. 1 A Math. 36 (1989), 193-209.
+
 
 +
=====Uk1989=====
 +
S. Ukai, Local solutions of the Kadomtsev-Petviashvili equation, J. Fac. Soc. Univ. Tokyo Sect. 1 A Math. 36 (1989), 193-209.
  
 
<center>V</center>
 
<center>V</center>
  
* [VaVe2001] A. Vargas, L. Vega, Global well-posedness for 1D nonlinear Schrodinger equation for data with an infinite L^2 norm, J. Math. Pures Appl. 80, (2001), 1029-1044.
+
 
* [Ve1988] L. Vega, Schrodinger equations: pointwise convergence to the initial data, Proc. Amer. Math. Soc. 102 (1988), 874-878.
+
=====VaVe2001=====
* [Ve1992] L. Vega, Restriction theorems and the Schrodinger multiplier on the torus, PDE with minimal smoothness and applications (Chicago 1990), IMA VolMath. Appl. 42 (1992), 199-211.
+
A. Vargas, L. Vega, Global well-posedness for 1D nonlinear Schrodinger equation for data with an infinite L^2 norm, J. Math. Pures Appl. 80, (2001), 1029-1044.
* [Vi2001] M. Vilela, Regularity of solutions to the free Schrodinger equation with radial initial data, Ill. J. Math. 45 (2001), 361-370.
+
 
* [Vd1984] M. V. Vladimirov, On the solvability of mixed problem for a nonlinear equation of Schrodinger type, Sov. Math. Dokl 29 (1984), 281-284.
+
=====Ve1988=====
 +
L. Vega, Schrodinger equations: pointwise convergence to the initial data, Proc. Amer. Math. Soc. 102 (1988), 874-878.
 +
 
 +
=====Ve1992=====
 +
L. Vega, Restriction theorems and the Schrodinger multiplier on the torus, PDE with minimal smoothness and applications (Chicago 1990), IMA VolMath. Appl. 42 (1992), 199-211.
 +
 
 +
=====Vi2001=====
 +
M. Vilela, Regularity of solutions to the free Schrodinger equation with radial initial data, Ill. J. Math. 45 (2001), 361-370.
 +
 
 +
=====Vd1984=====
 +
M. V. Vladimirov, On the solvability of mixed problem for a nonlinear equation of Schrodinger type, Sov. Math. Dokl 29 (1984), 281-284.
  
 
<center>W</center>
 
<center>W</center>
  
* [Wal-p] B. Walther, Higher integrability for maximal oscillatory Fourier integrals, preprint.
+
 
* [WghWgy2000] H. Wang, Y.D. Wang, Global inhomogeneous Schrodinger flow, Int. J. Math. 11 (2000), 1079
+
=====Wal-p=====
* [WgxAbSe1994] X. P. Wang, M. Ablowitz, H. Segur, Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation, Physica D 78 (1994), 241-265.
+
B. Walther, Higher integrability for maximal oscillatory Fourier integrals, preprint.
* [Wgy1995] Y.D. Wang, Ferromagnetic chain equation from a closed Riemannian manifold into S^2, Int. J. Math. 6 (1995), 93
+
 
* [Wed1999] R. Weder, The W_{k,p} continuity of the Schrodinger wave operators on the line, CMP 208 (1999), 507-520.
+
=====WghWgy2000=====
* [Wed1999b] R. Weder, Inverse scattering for the nonlinear Schrodinger equation, CPDE 22 (1997), 2089-2103.
+
H. Wang, Y.D. Wang, Global inhomogeneous Schrodinger flow, Int. J. Math. 11 (2000), 1079
* [Wed2000] R. Weder, L^p - L^p' estimates for the Schrodinger equation on the line and inverse scattering for the nonlinear Schrodinger equation with a potential, JFA 170 (2000), 37-68.
+
 
* [Wed2000b] R. Weder, Center manifold for nonintegrable nonlinear Schrodinger equations on the line, CMP 215 (2000), 343-356.
+
=====WgxAbSe1994=====
* [Wed2001] R. Weder, Inverse scattering for the nonlinear Schrodinger equation: reconstruction of the potential and the non-linearity, Math. Methods Appl. Sci. 24 (2001), 245-254.
+
X. P. Wang, M. Ablowitz, H. Segur, Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation, Physica D 78 (1994), 241-265.
* [Wed2001b] R. Weder, Inverse scattering for the nonlinear Schrodinger equation II. reconstruction of the potential and the non-linearity in the multidimensional case, Proc. Amer. Math. Soc. 129 (2001), 3627-3645.
+
 
* [Wed2001c] R. Weder, Direct and inverse scattering for the nonlinear Schrodinger equation with potential, VI Seminar on Free Boundary Value Problems and their Applications, part 1 (Rosario 1998), 13-20, Mat Ser. A. Conf. Semin. Trab. Math. 3, Univ. Austral, Rosario, 2001.
+
=====Wgy1995=====
* [Wed2001d] R. Weder, Inverse scattering on the line for the nonlinear Klein-Gordon equation with a potential.  J. Math. Anal. Appl. 252 (2000), 102-123.
+
Y.D. Wang, Ferromagnetic chain equation from a closed Riemannian manifold into S^2, Int. J. Math. 6 (1995), 93
* [Wed2002] R. Weder, Multidimensional inverse scattering for the nonlinear Klein-Gordon equation with a potential, JDE 184 (2002), 62-77.
+
 
* [Wed-p] R. Weder, The forced non-linear Schrodinger equation with a potential on the half-line, preprint.
+
=====Wed1999=====
* [Wed-p2] R. Weder, The L^p - L^p' estimate for the Schrodinger equation on the half-line, preprint.
+
R. Weder, The W_{k,p} continuity of the Schrodinger wave operators on the line, CMP 208 (1999), 507-520.
* [Wed-p3] R. Weder, Scattering for the forced nonlinear Schrodinger equation with a potential on the half-line, preprint.
+
 
* [Ws1983] M. Weinstein, Nonlinear Schrodinger equations and sharp interpolation estimates, CMP 87 (1983), 567-576.
+
=====Wed1999b=====
* [Ws1985] M. Weinstein, Modulational stability of ground states of nonlinear Schrodinger equations, SIAM J. Math. Anal. 16 (1985), 472-491.
+
R. Weder, Inverse scattering for the nonlinear Schrodinger equation, CPDE 22 (1997), 2089-2103.
* [Ws1986] M. Weinstein, Lyapunov stability of ground states of nonlinear dispersive equations, CPAM 39 (1986), 51-68.
+
 
* [Ws1986b] M. Weinstein, On the structure and formation of singularities in solutions to nonlinear dispersive equations, CPDE 11 (1986), 545-565.
+
=====Wed2000=====
* [WsXi1996] M. Weinstein, J. Xin, Dynamic stability of vortex solutions of Ginzberg-Landau and nonlinear Schrodinger equations, CMP 180 (1996), 389-428.
+
R. Weder, L^p - L^p' estimates for the Schrodinger equation on the line and inverse scattering for the nonlinear Schrodinger equation with a potential, JFA 170 (2000), 37-68.
* [Wc1987] M.V. Wickerhauser, Inverse scattering for the heat operators and evolutions in 2+1 variables, CMP 108 (1987) 67-89.
+
 
* [Wx1959] C. Wilcox, The initial boundary-value problem for the wave equation in an exterior domain with spherical boundary, Not. Amer. Math. Soc. 6 (1959).
+
=====Wed2000b=====
* [Wo-p] T. Wolff, A sharp bilinear cone estimate, to appear, Ann. Math.
+
R. Weder, Center manifold for nonintegrable nonlinear Schrodinger equations on the line, CMP 215 (2000), 343-356.
* [Wol1984] S Wollman, An existence and uniqueness theorem for the Vlasov-Maxwell system, CPAM 37 (1984), 457-462.
+
 
* [Woo-p] T. Woods, 1+1 Lorentz wave maps, preprint.
+
=====Wed2001=====
* [Wu1991] U. Wuller, Geometric methods in scattering theory of the charge transfer model, Duke Math J. 62 (1991), 273-313.
+
R. Weder, Inverse scattering for the nonlinear Schrodinger equation: reconstruction of the potential and the non-linearity, Math. Methods Appl. Sci. 24 (2001), 245-254.
 +
 
 +
=====Wed2001b=====
 +
R. Weder, Inverse scattering for the nonlinear Schrodinger equation II. reconstruction of the potential and the non-linearity in the multidimensional case, Proc. Amer. Math. Soc. 129 (2001), 3627-3645.
 +
 
 +
=====Wed2001c=====
 +
R. Weder, Direct and inverse scattering for the nonlinear Schrodinger equation with potential, VI Seminar on Free Boundary Value Problems and their Applications, part 1 (Rosario 1998), 13-20, Mat Ser. A. Conf. Semin. Trab. Math. 3, Univ. Austral, Rosario, 2001.
 +
 
 +
=====Wed2001d=====
 +
R. Weder, Inverse scattering on the line for the nonlinear Klein-Gordon equation with a potential.  J. Math. Anal. Appl. 252 (2000), 102-123.
 +
 
 +
=====Wed2002=====
 +
R. Weder, Multidimensional inverse scattering for the nonlinear Klein-Gordon equation with a potential, JDE 184 (2002), 62-77.
 +
 
 +
=====Wed-p=====
 +
R. Weder, The forced non-linear Schrodinger equation with a potential on the half-line, preprint.
 +
 
 +
=====Wed-p2=====
 +
R. Weder, The L^p - L^p' estimate for the Schrodinger equation on the half-line, preprint.
 +
 
 +
=====Wed-p3=====
 +
R. Weder, Scattering for the forced nonlinear Schrodinger equation with a potential on the half-line, preprint.
 +
 
 +
=====Ws1983=====
 +
M. Weinstein, Nonlinear Schrodinger equations and sharp interpolation estimates, CMP 87 (1983), 567-576.
 +
 
 +
=====Ws1985=====
 +
M. Weinstein, Modulational stability of ground states of nonlinear Schrodinger equations, SIAM J. Math. Anal. 16 (1985), 472-491.
 +
 
 +
=====Ws1986=====
 +
M. Weinstein, Lyapunov stability of ground states of nonlinear dispersive equations, CPAM 39 (1986), 51-68.
 +
 
 +
=====Ws1986b=====
 +
M. Weinstein, On the structure and formation of singularities in solutions to nonlinear dispersive equations, CPDE 11 (1986), 545-565.
 +
 
 +
=====WsXi1996=====
 +
M. Weinstein, J. Xin, Dynamic stability of vortex solutions of Ginzberg-Landau and nonlinear Schrodinger equations, CMP 180 (1996), 389-428.
 +
 
 +
=====Wc1987=====
 +
M.V. Wickerhauser, Inverse scattering for the heat operators and evolutions in 2+1 variables, CMP 108 (1987) 67-89.
 +
 
 +
=====Wx1959=====
 +
C. Wilcox, The initial boundary-value problem for the wave equation in an exterior domain with spherical boundary, Not. Amer. Math. Soc. 6 (1959).
 +
 
 +
=====Wo-p=====
 +
T. Wolff, A sharp bilinear cone estimate, to appear, Ann. Math.
 +
 
 +
=====Wol1984=====
 +
S Wollman, An existence and uniqueness theorem for the Vlasov-Maxwell system, CPAM 37 (1984), 457-462.
 +
 
 +
=====Woo-p=====
 +
T. Woods, 1+1 Lorentz wave maps, preprint.
 +
 
 +
=====Wu1991=====
 +
U. Wuller, Geometric methods in scattering theory of the charge transfer model, Duke Math J. 62 (1991), 273-313.
  
 
<center>X</center>
 
<center>X</center>
Line 1,264: Line 3,340:
 
<center>Y</center>
 
<center>Y</center>
  
* [Yag1994] K. Yagi, Normal forms and nonlinear Klein-Gordon equations in one space dimension, Master Thesis, Waseda University, 1994.
+
 
* [Ya1976] K. Yajima, Nonrelavistic limit of the Dirac theory, scattering theory, J. Fac. Sci. Univ. Tokyo. Sect. IA Math. 23 (1976), 517-523.
+
=====Yag1994=====
* [Ya1980] K. Yajima, A multichannel scattering theory for some time dependent Hamiltonians, charge transfer problem, CMP 75 (1980), 153-178.
+
K. Yagi, Normal forms and nonlinear Klein-Gordon equations in one space dimension, Master Thesis, Waseda University, 1994.
* [Ya1987] K. Yajima, Existence of solutions for Schrodinger evolution equations, Commun. Math. Phys. 110 (1987), 415-426.
+
 
* [Ya1995] K. Yajima, The W^{k,p} continuity of wave operators for Schrodinger operators, J. Math. Soc. Japan 47 (1995), 551-581.
+
=====Ya1976=====
* [Ya1999] K. Yajima, The L^p continuity of wave operators for two-dimensional Schrodinger operators, CMP 208 (1999), 125-152.
+
K. Yajima, Nonrelavistic limit of the Dirac theory, scattering theory, J. Fac. Sci. Univ. Tokyo. Sect. IA Math. 23 (1976), 517-523.
* [YaZgg2001] K. Yajima, G. Zhang, Smoothing property for Schrodinger equations with potential superquadratic at infinity, CMP 221 (2001), 573-590.
+
 
* [Yk2000] K. Yokoyama, Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions, J. Math. Soc. Japan 52 (2000), 609-632.
+
=====Ya1980=====
* [Yo-p] B. Yordanov, Blow-up for the one-dimensional Klein-Gordon equation with a cubic non-linearity, preprint.
+
K. Yajima, A multichannel scattering theory for some time dependent Hamiltonians, charge transfer problem, CMP 75 (1980), 153-178.
* [YoZgq-p] B. Yordanov, Q. Zhang, Finite time blowup for wave equations with a potential, preprint.
+
 
* [YoZgq-p2] B. Yordanov, Q. Zhang, Finite time blowup for critical wave equations in high dimensions, preprint.
+
=====Ya1987=====
 +
K. Yajima, Existence of solutions for Schrodinger evolution equations, Commun. Math. Phys. 110 (1987), 415-426.
 +
 
 +
=====Ya1995=====
 +
K. Yajima, The W^{k,p} continuity of wave operators for Schrodinger operators, J. Math. Soc. Japan 47 (1995), 551-581.
 +
 
 +
=====Ya1999=====
 +
K. Yajima, The L^p continuity of wave operators for two-dimensional Schrodinger operators, CMP 208 (1999), 125-152.
 +
 
 +
=====YaZgg2001=====
 +
K. Yajima, G. Zhang, Smoothing property for Schrodinger equations with potential superquadratic at infinity, CMP 221 (2001), 573-590.
 +
 
 +
=====Yk2000=====
 +
K. Yokoyama, Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions, J. Math. Soc. Japan 52 (2000), 609-632.
 +
 
 +
=====Yo-p=====
 +
B. Yordanov, Blow-up for the one-dimensional Klein-Gordon equation with a cubic non-linearity, preprint.
 +
 
 +
=====YoZgq-p=====
 +
B. Yordanov, Q. Zhang, Finite time blowup for wave equations with a potential, preprint.
 +
 
 +
=====YoZgq-p2=====
 +
B. Yordanov, Q. Zhang, Finite time blowup for critical wave equations in high dimensions, preprint.
  
 
<center>Z</center>
 
<center>Z</center>
  
* [ZaKru1965] N. Zabusky, M. Kruskal, Interaction of solitons in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett. 15 (1965), 240-243.
+
 
* [Zk1972] V.E. Zakharov, Collapse of Langmuir waves, Sov. Phys. JETP 35 (1972), 908-914.
+
=====ZaKru1965=====
* [Zk1998] V.E. Zakharov, Weakly nonlinear waves on the surface of an ideal finite depth fluid, Amer. Math. Soc. Transl. 182 (1998), 167-197.
+
N. Zabusky, M. Kruskal, Interaction of solitons in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett. 15 (1965), 240-243.
* [ZkMan1976] V.E. Zakharov, S.V. Manakov, Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method, Soviet Physics JETP 44 (1976), 106-112.
+
 
* [ZkSha1972] V.E. Zakharov, A.B. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in non-linear media, Sov. Phys. JETP 34 (1972), 62-69.
+
=====Zk1972=====
* [ZkSha1973] V.E. Zakharov, A.B. Shabat, Interaction between solitons in a stable medium, Sov. Phys. JETP 37 (1973), 834-828.
+
V.E. Zakharov, Collapse of Langmuir waves, Sov. Phys. JETP 35 (1972), 908-914.
* [ZkShl1980] V.E. Zakharov, E.I. Schulman, Degenerated dispersion laws, motion invariant and kinetic equations, Physica 1D (1980), 185-250.
+
 
* [ZkTkh1979] V.E. Zakharov, L.A. Takhtahan, Equivalence of a nonlinear Schrodinger equation and a Heisenberg ferromagnetic equation, Teor. Math. Phys. 8 (1979), 17-23.
+
=====Zk1998=====
* [Zg1992] B. Zhang, Unique continuation for the KdV equation, SIAM J. Math. Anal. 23 (1992), 55-71.
+
V.E. Zakharov, Weakly nonlinear waves on the surface of an ideal finite depth fluid, Amer. Math. Soc. Transl. 182 (1998), 167-197.
* [Zg1995] B. Zhang, A remark on the Cauchy problem for the Korteweg-de Vries equation on a periodic domain, DIE 8 (1995), 1191-1204.
+
 
* [Zg1997] B. Zhang, Unique continuation properties of the nonlinear Schrodinger equation, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 191-205.
+
=====ZkMan1976=====
* [Zx1990] X. Zhou, Inverse scattering transform for the time-dependent Schrodinger equation with application to the KP-I equations, CMP 128 (1990), 551-564.
+
V.E. Zakharov, S.V. Manakov, Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method, Soviet Physics JETP 44 (1976), 106-112.
* [Zh1995] Y. Zhou, Cauchy problem for semilinear wave equations in four space dimensions with small initial data, JPDE 8 (1995), 135-144.
+
 
* [Zh1997] Y. Zhou, Local existence with minimal regularity for nonlinear wave equations, Amer. J. Math, 119 (1997), 671-703.
+
=====ZkSha1972=====
* [Zh1997b] Y. Zhou, Uniqueness of weak solution of the KdV equation, IMRN 6 (1997), 271-283.
+
V.E. Zakharov, A.B. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in non-linear media, Sov. Phys. JETP 34 (1972), 62-69.
* [Zh1999] Y. Zhou, Uniqueness of weak solutions of 1+1 dimensional wave maps, Math. Z. 232 (1999), 707-719.
+
 
* [Zh2000] Y. Zhou, Uniqueness of generalized solutions to nonlinear wave equations, AJM 122 (2000), 939-965.
+
=====ZkSha1973=====
* [ZhGouTan1991] Y. Zhou, B. Gou, S. Tan, Existence and uniqueness of smooth solution for system of ferromagnetic chain, Science in China Ser. A. 34 (1991), 257.
+
V.E. Zakharov, A.B. Shabat, Interaction between solitons in a stable medium, Sov. Phys. JETP 37 (1973), 834-828.
* [Zi1997] L. Zielinski, Asymptotic completeness for multiparticle dispersive charge transfer models, JFA 150 (1997), 453-470.
+
 
 +
=====ZkShl1980=====
 +
V.E. Zakharov, E.I. Schulman, Degenerated dispersion laws, motion invariant and kinetic equations, Physica 1D (1980), 185-250.
 +
 
 +
=====ZkTkh1979=====
 +
V.E. Zakharov, L.A. Takhtahan, Equivalence of a nonlinear Schrodinger equation and a Heisenberg ferromagnetic equation, Teor. Math. Phys. 8 (1979), 17-23.
 +
 
 +
=====Zg1992=====
 +
B. Zhang, Unique continuation for the KdV equation, SIAM J. Math. Anal. 23 (1992), 55-71.
 +
 
 +
=====Zg1995=====
 +
B. Zhang, A remark on the Cauchy problem for the Korteweg-de Vries equation on a periodic domain, DIE 8 (1995), 1191-1204.
 +
 
 +
=====Zg1997=====
 +
B. Zhang, Unique continuation properties of the nonlinear Schrodinger equation, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 191-205.
 +
 
 +
=====Zx1990=====
 +
X. Zhou, Inverse scattering transform for the time-dependent Schrodinger equation with application to the KP-I equations, CMP 128 (1990), 551-564.
 +
 
 +
=====Zh1995=====
 +
Y. Zhou, Cauchy problem for semilinear wave equations in four space dimensions with small initial data, JPDE 8 (1995), 135-144.
 +
 
 +
=====Zh1997=====
 +
Y. Zhou, Local existence with minimal regularity for nonlinear wave equations, Amer. J. Math, 119 (1997), 671-703.
 +
 
 +
=====Zh1997b=====
 +
Y. Zhou, Uniqueness of weak solution of the KdV equation, IMRN 6 (1997), 271-283.
 +
 
 +
=====Zh1999=====
 +
Y. Zhou, Uniqueness of weak solutions of 1+1 dimensional wave maps, Math. Z. 232 (1999), 707-719.
 +
 
 +
=====Zh2000=====
 +
Y. Zhou, Uniqueness of generalized solutions to nonlinear wave equations, AJM 122 (2000), 939-965.
 +
 
 +
=====ZhGouTan1991=====
 +
Y. Zhou, B. Gou, S. Tan, Existence and uniqueness of smooth solution for system of ferromagnetic chain, Science in China Ser. A. 34 (1991), 257.
 +
 
 +
=====Zi1997=====
 +
L. Zielinski, Asymptotic completeness for multiparticle dispersive charge transfer models, JFA 150 (1997), 453-470.

Revision as of 21:04, 28 July 2006

[#A AAA]

Aa - Aassila; Ab - Ablowitz; Abd - Abdelouhab; Ac - Anco; Adh \u2013 H. Added; Ads \u2013 S. Added; Ag \u2013 Agemi; Al - Alinhac; An - Andersson; Ant - Antonini; Ar - Artbazar; As - Ash; Ax \u2013 Alexander

[#B BBB]

Ba - Bahouri; Bae - Baez; Ban \u2013 Banica; Bb - Barab; Bc - Belchev; Bch - Bachelot; Bct - Bouchut, Bd - de Bouard; Bdm \u2013 Boutet de Monvel; Bds - Bardos, Be - Beals; Bec - Bechouche, Ben - Ben-Artzi; Ber - Berestycki; Bg - Berger; Bi - Biagiono; Bir - Birnir; Biz - Bizon; Bj - Benjamin; Bl - Baillon; Blu \u2013 Blue; Bk - Bekiranov; Bn - Bona; Bo - Bourgain; Bou - Bournaveas; Br - Brenner; Brl; Breitenlohner; Bro - Bronski; Brz - Brezis; Bs - Brodsky; Bu - Burq; Bu. - Bu; Bub - Bubnov; Bus \u2013 Buslaev; By - Benney; Bz - Bezard

[#C CCC]

Ca - Cazenave; Caf \u2013 Caffarelli; Cal - Calogero; Car - Carles; Cc - Chrusciel; Cd - Christodoulou; Cg - Chang; Ch - Chemin; Chd - Chadam; Chp - Choptuik; Ci - Chihara; Cj; Chmaj; Ck - Costakis; Cn \u2013 T. Colin; Co - Colliander; Coe - Cohen; Coh - Cohn; Coi - Coifman; Col \u2013 M. Colin; Con - Constantin; Cq - Choquet-Bruhat; Cr - Craig; Crr - Carrol; Cs - Cronstrom; Ct - Christ; Cu \u2013 Cuccagna; Cv - Carvajal

[#D DDD]

Da - Dahlberg; Dan - D'Ancona; Dav - Davey; Db - Debussche; De - Delort; Df - Deift; Dg - Dougalis; Di - Ding; Dia \u2013 Dias; DM - Di Menza; Do - Doi; Don - Dong; Dt - Datti; Du \u2013 Dumitrascu; Duy \u2013 Duyckaerts; Dy \u2013 Dysthe

[#E EEE]

Ea - Eardley; Ec \u2013 Eckhaus; El \u2013 El Dika; Es \u2013 Esteban; Esc \u2013 Escobedo

[#F FFF]

Fa - Faminskii; Fc - Foschi; Fg - Fang; Fe - Felland; Fer - Fermanian; Fi \u2013 Figueira; Fk - Fukuizumi; Fl - Falkovitch; Fo - Fonseca; For - Forgacs; Fr - Freire; Frd \u2013 Friedman; Fri - Friedrich; Fro \u2013 Frohlich; Fs - Fokas; Ft - Flato; Fu - Fukuda; Fuj - Fujiwara; Fur - Furioli

[#G GGG]

Ga - Gallouet; Gal - Gallagher; Gar \u2013 Gardener; Gb - Goldberg; Gc - Geroch; Ge - Georgiev; Gea - Gear; Gd - Gerard; Gg - Glangetas; Gh - Ghidaglia; Gi - Ginibre; Gl - Grillakis; Go - Godin; Gol - Golse; Gr - Gruenrock; Gre \u2013 Greene; Grf \u2013 Graf; Gri \u2013 Grinevich; Grn - Grenier; Grs - Gross; Gs - Glassey;; Gu - Gu; Gue - Guedda; Gus \u2013 Gustafson; Guo - Guo; Gw \u2013 Grimshaw

[#H HHH]

Hab - Haberman; Ha - Hayashi; Har \u2013 Harmse; Has \u2013 Hasegawa; He - Helein; Hg - Hoshiga; Hi - Hidano; Him - Himonas; Hm - Hasimoto; Hp - Hoppe; Ho - Hormander; Hog \u2013 Hogan; Hr - Hirata; Hs - Hoshiro; Hsl \u2013 Hassell; Hx - Haraux; Hu \u2013 Hughes; Huo - Huo

[#I III]

Ib - Isenberg; Ic \u2013 Ichinose; Ik - Ikawa; Im - Ishimori; Io - Iorio Jr.; Ion \u2013 Ionescu; Is \u2013 Isaza; Isk \u2013 Isakov;It \u2013 Its; Iv - Ivanov

[#J JJJ]

Je - Jensen; Jer - Jerrard; Ji \u2013 Jiao; Jo - John; Jou \u2013 Journe; Jor \u2013 Jorgens

[#K KKK]

Ka - T. Kato; Kai - Kaikina; Kar - Karakashian; Kau - Kaup; Kak - K. Kato; Kav - Kavian; Kb \u2013 Kubota; Kd - Kadomtsev; Ke - Keel; Ker - Keraani; Kg - Krieger; Ki \u2013 Kichenassamy; Kk - Kepka; Kl - Klainerman; Kel - Keller; Kn - Kenig; Ko - Kovalyov; Koc - Koch; Kod \u2013 Kodama; Koe \u2013 Koenig; Kol - Kolomeisky; Kon \u2013 Konopelchenko; Koz \u2013 Kozono; Kp - Kappeler; Kr - Kruzhkov; Kri - Krieger; Kru \u2013 Kruskal; Ks - Kosecki; Kt - Kapitanski; Ku - Kubo; Kuk \u2013 Kuksin; Kum - Kumlin; Kw - Korteweg; Ky - Katayama; Kz \u2013 Kunze

[#L LLL]

La - Ladyzhenskaya; Lab \u2013 Laba; Lad - Ladhari; Lan - Landman; Lau \u2013 Laurey; Lb - Lindblad; Le - Lee; Leb \u2013 Lebeau; Lh \u2013 H. Li; Li - Linares; Lie - Liebling; Lim \u2013 Lim; Lit \u2013 Littman; Liu - Y. Liu; Ln - Lin; Lo - Lions; Lop \u2013 Lopez; Ls - S.J. Li; Lt - T. Li; Lu \u2013 Luo; Lx \u2013 Lax

[#M MMM]

Ma - Machedon; Ma. \u2013 Ma; Mac - Machihara; Mad \u2013 Maddocks; Mah \u2013 Mahony; Mai - Maison; Man - Manakov; Mar - Marsden; Mas - Masmoudi; Mat \u2013 Matkarimov; Mau - Mauser; Max \u2013 Maxwell; Mc - Moncrief; Me - Merle; Met - Metcalfe; Mh - Mohr; Mi - Miura; Mia - Miao; Mil - Miller; Mis - Misiolek; Miz - Mizumachi; Mj - Mejia; Mk - Markowich; Ml - Molinet; Mm - Matsamura; Mo - Montgomery-Smith; Mr - Moriyama; Ms - Marshall; Mt -Martel; Mu - Muller; Mur - Muramatu; My - Moyua; Mz - Morawetz; Mzh \u2013 Mizohata

[#N NNN]

Na - Nakanishi; Nc - Nenciu; Nd - Nahmod; Ne - Newell; New - Newman; Nk - Nakamitsu; Nko - Nakao; Nkr - M. Nakamura; Nky - Y. Nakamura; Ni - Nicolo; Nic \u2013 Nicolas; Nie - Nier; Nj - Najman; Nm - Naumkin; No - Novoksenov; Nu - Nunes; Nw \u2013 Nawa

[#O OOO]

Ob \u2013 Oberlin; Og - Ogawa; Oh - Oh; On \u2013 Ono; Ot - Ohta; Ott \u2013 Ott; Ov \u2013 Ovchinnikov; Oz \u2013 Ozawa

[#P PPP]

Pal - Pallard; Pa - Pang;Pan \u2013 Panthee; Pap - Papanicolau; Pe - Pecher; Per - Perelman; Pg - Pego; Ph - Phillips; Pi - Pillet; Pie \u2013 Pierfelice; Pl - Planchon; Pm - Pohlmeyer; Pn - Penrose; Po - Ponce; Pom \u2013 Pomponio; Pop \u2013 Poppenberg; Pp - Popivanov; Pv \u2013 Petviashvili

[#Q QQQ]

Qi \u2013 Qi

[#R RRR]

Ra - Rauch; Ral \u2013 Ralston; Rap - Raphael; Re - Reed; Rei - Rein; Ren - Rendall; Ri - Ribaud; Ro - Rodnianski; Rol \u2013 Rolvung; Rm \u2013 Rammaha; Rs - Rose; Ru - Ruiz; Ry \u2013 Raynor

[#S SSS]

Sa - Shatah; Sac - Sachs; San \u2013 Santini; Sau - Saut; Sb - Selberg; Sc - Scheure; Scf - Schaeffer; Scg - Schlag; Sch - Schneider; Scl - Schulman; Sco \u2013 Scott;Scr \u2013 Schuur; Scz - Schwarz; Sct - Schochet; Se - Segur; Ser - Sere; Sf - Soffer; Sg - Segal; Sh - Shubov; Sha - Shabat; Shb - Shibata; Shi \u2013 Shimomura; Shp - Shepelsky; Si - Sideris; Sid - Sidi; Sig \u2013 Sigal; Sj - Sjoberg; Sl - Sjolin; Smh - H. Smith; Smo \u2013 Smoller; Smr - R. Smith; Sn - Simon; Sng - Sung; So - Sogge; Sou - Sougandis; Sp - Sparber; Sr - Strauss; St - Staffilani; Sta \u2013 Stalker; Stb - Stallbohm; Ste - Stewart; Str - Straley; Stv - Stefanov; Stz - Sterbenz; Su - Sun; Suc - C. Sulem; Sud \u2013 Sudan; Sup - P. Sulem; Sv - Svanstedt; Sw - Struwe; Sy - Souyer; Sz \u2013 Strichartz; Sze - Szeftel

[#T TTT]

Ta - Tao; Tan - Tan; Tak - Takeuchi; Tar \u2013 Tarama; Tao - Taoka; Tay - Taylor; Tb - Tabor; Te - Terng; Tem \u2013 Temam; Ter - Terraneo; Tg - Tsugawa; Tk - Takaoka; Tkh \u2013 Takhatajan; Tl - Taflin; Tm - Tom; Tn - Taniguchi; Tns \u2013 Tanisaka; Ton \u2013 Tonegawa; Tp - Topalov; Tr - Turitsyn; Ts \u2013 Y. Tsutsumi; Tsa - Tsai; Tsm \u2013 M. Tsutsumi; Tt - Tataru; Tu - Tu; Tv - Tahvildah-Zadeh; Tw - Tonegawa; Ty - Tsutaya; Tz - Tzvetkov; Tzi - Tzirakis

[#U UUU]

Uh - Uhlenbeck; Uk \u2013 Ukai

[#V VVV]

Va - Vargas; Vaz \u2013 Vazquez; Vd - Vladimirov; Ve - Vega; Vi - Vilela; Vis \u2013 Viscagilia; Vl - Velo; Vr- de Vries

[#W WWW]

Wa - Wainger; Wad - Wada; Wal - Walther; Wc - Wickerhauser; We - Weissler; Wed - Weder; Wg \u2013 W. Wang;Wgg; G. Wang; Wgh - H. Wang; Wgy - Y.D. Wang; Wgx - X.H. Wang;; Wh - von Wahl; Wi - Winther;Wic - Wickerhauser; Wn - Wayne;Wo - Wolff; Wol - Wollman; Woo \u2013 Wood; Ws - Weinstein; Wu \u2013 Wuller;Wun \u2013 Wunsch; Wx - Wilcox

[#A XXX]

Xi \u2013 Xin; Xu - Xu; Xue \u2013 Xue

[#Y YYY]

Ya - Yajima; Yag - Yagi; Yau - Yau; Yk - Yokoyama; Yn - Yan'kov; Yo - Yordanov; You; Youssfi; Yu - Yu

[#Z ZZZ]

Za - Zabusky; Zaa \u2013 Zaag; Zg - B. Zhang; Zgg - G. Zhang; Zgq \u2013 Q. Zhang; Zgx \u2013 X. Zhang; Zh - Y. Zhou; Zi- Zielinski; Zk - Zakharov; Zx - X. Zhou, Zz - Z. Zhou



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