Difference between revisions of "Bibliography"

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[[Aa2002]]
+
=====[[Aa2002]]=====
 
M. Aassilla, ''Nonexistence de solutions globales de certains equations d'ondes nonlineaires'', C. R. Acad. Sci. Paris. '''334''' (2002), 961-966.
 
M. Aassilla, ''Nonexistence de solutions globales de certains equations d'ondes nonlineaires'', C. R. Acad. Sci. Paris. '''334''' (2002), 961-966.
  
[[AbdBnFelSau1989]]
+
=====[[AbdBnFelSau1989]]=====
 
L. Abdelouhab, J. Bona, M. Felland, J. Saut, ''Nonlocal models for nonlinear dispersive waves'', Phys. D '''40''' (1989), 360-392.
 
L. Abdelouhab, J. Bona, M. Felland, J. Saut, ''Nonlocal models for nonlinear dispersive waves'', Phys. D '''40''' (1989), 360-392.
  
[[AbKauNeSe1974]]
+
=====[[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. 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.
  
[[AbFs1983]]
+
=====[[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.
 
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]]
+
=====[[AbHab1975]]=====
 
M. Ablowitz, R. Haberman, ''Nonlinear evolution equations in two and three dimensions'', Phys. Rev. Lett. '''35''' (1975), 1185-1188.
 
M. Ablowitz, R. Haberman, ''Nonlinear evolution equations in two and three dimensions'', Phys. Rev. Lett. '''35''' (1975), 1185-1188.
  
[[AbMa1981]]
+
=====[[AbMa1981]]=====
 
M. Ablowitz, Y. Ma, The periodic nonlinear Schrodinger equation, Stud. Appl. Math. 65 (1981), 113-158.
 
M. Ablowitz, Y. Ma, The periodic nonlinear Schrodinger equation, Stud. Appl. Math. 65 (1981), 113-158.
  
[[AbSe1977]]
+
=====[[AbSe1977]]=====
 
M. Ablowitz, H. Segur, ''Asymptotic solutions of the Korteweg de Vries equation'', Stud. Appl. Math. '''57''' (1977), 13-44.
 
M. Ablowitz, H. Segur, ''Asymptotic solutions of the Korteweg de Vries equation'', Stud. Appl. Math. '''57''' (1977), 13-44.
  
[[AdhAds1988]]
+
=====[[AdhAds1988]]=====
 
H. Added, S. Added, ''Equations of Langmuir turbulence and non-linear Schrodinger equation: Smoothness and approximations'', JFA '''79''' (1988), 183-210.
 
H. Added, S. Added, ''Equations of Langmuir turbulence and non-linear Schrodinger equation: Smoothness and approximations'', JFA '''79''' (1988), 183-210.
  
[[AgYok1998]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[Al1995]]=====
 
S. Alinhac, ''Blowup for nonlinear hyperbolic equations'', Boston<nowiki>: Birkhauser, 1995, Progress in </nowiki>Nonlinear DE and their Applications, 17.
 
S. Alinhac, ''Blowup for nonlinear hyperbolic equations'', Boston<nowiki>: Birkhauser, 1995, Progress in </nowiki>Nonlinear DE and their Applications, 17.
  
[[Al1999]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[Al2000]]=====
 
S. Alinhac, Rank 2 singular solutions for quasilinear wave equations, IMRN 18 (2000), 955-984.
 
S. Alinhac, Rank 2 singular solutions for quasilinear wave equations, IMRN 18 (2000), 955-984.
  
[[Al2001]]
+
=====[[Al2001]]=====
 
S. Alinhac, ''The null condition for quasilinear wave equations in two space dimensions I'', Invent. Math. '''145''' (2001), 597-618.
 
S. Alinhac, ''The null condition for quasilinear wave equations in two space dimensions I'', Invent. Math. '''145''' (2001), 597-618.
  
[[Al2001b]]
+
=====[[Al2001b]]=====
 
S. Alinhac, ''The null condition for quasilinear wave equations in two space dimensions II, ''AJM '''123''' (2001), 1071-1101.
 
S. Alinhac, ''The null condition for quasilinear wave equations in two space dimensions II, ''AJM '''123''' (2001), 1071-1101.
  
[[Al2003]]
+
=====[[Al2003]]=====
 
S. Alinhac, An example of blowup at infinity for a quasilinear wave equation, Asterisque 284 (2003), 1-91.
 
S. Alinhac, An example of blowup at infinity for a quasilinear wave equation, Asterisque 284 (2003), 1-91.
  
[[AcIb2000]]
+
=====[[AcIb2000]]=====
 
S. Anco, J. Isenberg, ''Global existence for wave maps with torsion'', CPDE '''25''' (2000), 1669-1702.
 
S. Anco, J. Isenberg, ''Global existence for wave maps with torsion'', CPDE '''25''' (2000), 1669-1702.
  
[[AnMc-p]]
+
=====[[AnMc2003]]=====
L. Andersson, V. Moncrief, ''[http://www.arxiv.org/abs/gr-qc/0110111 Elliptic-Hyperbolic systems and the Einstein equations]'', preprint.
+
L. Andersson, V. Moncrief, ''[http://www.arxiv.org/abs/gr-qc/0110111 Elliptic-Hyperbolic systems and the Einstein equations]'', Ann. Henri Poincaré '''4''' (2003), 1-34
  
[[Ant2003]]
+
=====[[Ant2003]]=====
 
C. Antonini, Lower bounds for the L^2 minimal periodic blowup solutions of critical nonlinear Schrodinger equation, DIE 15 (2002), 749-768.
 
C. Antonini, Lower bounds for the L^2 minimal periodic blowup solutions of critical nonlinear Schrodinger equation, DIE 15 (2002), 749-768.
  
[[AntMe2001]]
+
=====[[AntMe2001]]=====
 
C. Antonini, F. Merle, ''Optimal bounds on positive blowup solutions for a semilinear wave equation'', IMRN '''21''' (2001), 1143-1167.
 
C. Antonini, F. Merle, ''Optimal bounds on positive blowup solutions for a semilinear wave equation'', IMRN '''21''' (2001), 1143-1167.
  
[[ArYa2000]]
+
=====[[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.
 
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]]
+
=====[[AsCoeWgg1996]]=====
 
J. M. Ash, J. Cohen, G. Wang, On strongly interacting internal solitary waves, J. Fourier Anal. Appl., '''2''' (1996), 507-517.
 
J. M. Ash, J. Cohen, G. Wang, On strongly interacting internal solitary waves, J. Fourier Anal. Appl., '''2''' (1996), 507-517.
  
Line 86: Line 86:
  
  
[[Bch1984]]
+
=====[[Bch1984]]=====
 
A. Bachelot, ''Probleme de Cauchy pour des systemes hyperboliques semilineaires'', Ann. IHP (Anal. nonlin), '''1''' (1984), 453-478.
 
A. Bachelot, ''Probleme de Cauchy pour des systemes hyperboliques semilineaires'', Ann. IHP (Anal. nonlin), '''1''' (1984), 453-478.
  
[[BchNic1993]]
+
=====[[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
 
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
  
[[BlChd1978]]
+
=====[[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
 
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
  
[[BaeSgZz1990]]
+
=====[[BaeSgZz1990]]=====
 
J. Baez, I. Sega, Z. Zhou, ''The global Goursat problem and scattering for nonlinear wave equations'', J. Funct. Anal. '''93 '''(1990), 239-269.
 
J. Baez, I. Sega, Z. Zhou, ''The global Goursat problem and scattering for nonlinear wave equations'', J. Funct. Anal. '''93 '''(1990), 239-269.
  
[[BaCh1999]]
+
=====[[BaCh1999]]=====
 
H. Bahouri, J-Y. Chemin, ''Équations d'ondes quasilinéaires et les inegalites de Strichartz'', Amer. J. Math.'''121''' (1999), 1337-1377.
 
H. Bahouri, J-Y. Chemin, ''Équations d'ondes quasilinéaires et les inegalites de Strichartz'', Amer. J. Math.'''121''' (1999), 1337-1377.
  
[[BaCh1999b]]
+
=====[[BaCh1999b]]=====
 
H. Bahouri, J-Y. Chemin, ''Équations d'ondes quasilinéaires et effet dispersif'', IMRN '''21''' (1999), 1141-1178.
 
H. Bahouri, J-Y. Chemin, ''Équations d'ondes quasilinéaires et effet dispersif'', IMRN '''21''' (1999), 1141-1178.
  
[[BaCh2002]]
+
=====[[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.
 
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]]
+
=====[[BaCh 2003]]=====
H. Bahouri, J-Y. Chemin, ''Microlocal analysis, bilinear estimates, and cubic quasilinear wave equation'', preprint.
+
H. Bahouri, J-Y. Chemin, ''Microlocal analysis, bilinear estimates, and cubic quasilinear wave equation'', Asterique (2003), 93-141
  
[[BaGd1997]]
+
=====[[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.
 
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.
  
[[BaGdXu2000]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[Ban2004a]]=====
V. Banica, On the nonlinear Schrodinger dynamics on S^2, preprint.
+
V. Banica, ''On the nonlinear Schrödinger dynamics on S^2'', J. Math. Pures Appl. (9)'''83''' (2004), 77-98.  
  
[[Ban-p2]]
+
=====[[Ban2004b]]=====
V. Banica, Dispersion and Strichartz inequalities for Schrodinger equations with singular coefficients, preprint.
+
V. Banica, ''Dispersion and Strichartz inequalities for Schrödinger equations with singular coefficients.'', SIAM J. Math. Anal. '''35'''(2004), 868-883.  
  
[[Ban-p3]]
+
=====[[Ban2004c]]=====
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.
+
V. Banica, ''Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain. '',Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) '''3'''(2004), 139-170.  
  
[[Bb1984]]
+
=====[[Bb1984]]=====
 
J.E. Barab, ''Nonexistence of asymptotically free solutions for a nonlinear Schrodinger equation'', J. Math. Phys. '''25''' (1984), 3270-3273.
 
J.E. Barab, ''Nonexistence of asymptotically free solutions for a nonlinear Schrodinger equation'', J. Math. Phys. '''25''' (1984), 3270-3273.
  
[[Be1983]]
+
=====[[Be1983]]=====
 
M. Beals, ''Self-Spreading and strength of Singularities for solutions to semilinear wave equations'', Annals of Math '''118''' (1983), 187-214
 
M. Beals, ''Self-Spreading and strength of Singularities for solutions to semilinear wave equations'', Annals of Math '''118''' (1983), 187-214
  
[[BeBz1996]]
+
=====[[BeBz1996]]=====
 
M. Beals, M. Bezard, ''Low regularity local solutions for field equations'', Comm. Partial Differential Equations'''21''' (1996), 79-124.
 
M. Beals, M. Bezard, ''Low regularity local solutions for field equations'', Comm. Partial Differential Equations'''21''' (1996), 79-124.
  
[[BecMauSb-p]]
+
=====[[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
 
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]]
+
=====[[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
 
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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[BkOgPo1998]]=====
 
D. Bekiranov, T. Ogawa, G. Ponce, ''Interaction equations for short and long dispersive waves'', J. Funct. Anal. '''158''' (1998), 357-388.
 
D. Bekiranov, T. Ogawa, G. Ponce, ''Interaction equations for short and long dispersive waves'', J. Funct. Anal. '''158''' (1998), 357-388.
  
[[BcKkZz1999]]
+
=====[[BcKkZz1999]]=====
 
E. Belchev, M. Kepka, Z. Zhou, ''Global existence of solutions to nonlinear wave equations'', CPDE '''24 '''(1999), 2297-2331.
 
E. Belchev, M. Kepka, Z. Zhou, ''Global existence of solutions to nonlinear wave equations'', CPDE '''24 '''(1999), 2297-2331.
  
[[BcKkZz2002]]
+
=====[[BcKkZz2002]]=====
 
E. Belchev, M. Kepka, Z. Zhou, ''Finite time blowup of solutions to semilinear wave equations'', JFA '''190 '''(2002), 233-254.
 
E. Belchev, M. Kepka, Z. Zhou, ''Finite time blowup of solutions to semilinear wave equations'', JFA '''190 '''(2002), 233-254.
  
[[Bj1967]]
+
=====[[Bj1967]]=====
 
T. Benjamin, ''Internal waves of permanent form in fluids of great depth'', J. Fluid Mech. '''29''' (1967), 559-562.
 
T. Benjamin, ''Internal waves of permanent form in fluids of great depth'', J. Fluid Mech. '''29''' (1967), 559-562.
  
[[Bj1972]]
+
=====[[Bj1972]]=====
 
T. Benjamin, ''The stability of solitary waves'', Proc. R. Soc. Lond. A. '''328''' (1972), 153-183.
 
T. Benjamin, ''The stability of solitary waves'', Proc. R. Soc. Lond. A. '''328''' (1972), 153-183.
  
[[BjBnMah1972]]
+
=====[[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.
 
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]]
+
=====[[BenKl1992]]=====
 
M. Ben-Artzi, S. Klainerman, ''Decay and regularity for the Schrodinger equation'', J. Anal. Math. '''58''' (1992), 25-37.
 
M. Ben-Artzi, S. Klainerman, ''Decay and regularity for the Schrodinger equation'', J. Anal. Math. '''58''' (1992), 25-37.
  
[[BenSau1999]]
+
=====[[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.
 
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]]
+
=====[[BenKocSau2003]]=====
 
M. Ben-Artzi, H. Koch, J.C. Saut, Dispersion estimates for third order equations in two dimensions, CPDE 28 (2003), 1943-1974.
 
M. Ben-Artzi, H. Koch, J.C. Saut, Dispersion estimates for third order equations in two dimensions, CPDE 28 (2003), 1943-1974.
  
[[ByNe1967]]
+
=====[[ByNe1967]]=====
 
D.J. Benney, A.C. Newell, ''The propagation of nonlinear wave envelopes'', J. Math. and Phys. '''46''' (1967), 133-139.
 
D.J. Benney, A.C. Newell, ''The propagation of nonlinear wave envelopes'', J. Math. and Phys. '''46''' (1967), 133-139.
  
[[BerCa1981]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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.
 
  
[[BirPoVe-p]]
+
=====[[BiLi-p]]=====
 +
 
 +
H. Biagioni, F. Linares, ''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.
 
B. Birnir, G. Ponce, L. Vega, On the ill-posedness for the initial value problem for the modified Korteweg-de Vries equation, preprint.
  
[[BirKnPoSvVe1996]]
+
=====[[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.
 
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.
  
[[Biz2000]]
+
=====[[Biz2000]]=====
 
P. Bizon, ''Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere.'' Comm. Math. Phys. '''215''' (2000), 45-56.
 
P. Bizon, ''Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere.'' Comm. Math. Phys. '''215''' (2000), 45-56.
  
[[Biz-p]]
+
=====[[Biz-p]]=====
 
P. Bizon, ''[http://arXiv.org/abs/math-ph/0206004 Formation of singularities in Yang-Mills equations]'', preprint
 
P. Bizon, ''[http://arXiv.org/abs/math-ph/0206004 Formation of singularities in Yang-Mills equations]'', preprint
  
[[BizCjTb2001]]
+
=====[[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.
 
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.
  
[[BizOvSi-p]]
+
=====[[BizOvSi-p]]=====
 
P. Bizon, Y. Ovchinnikov, I. Sigal, ''[http://arxiv.org/abs/math.AP/0307026 Collapse of an Instanton]'', preprint.
 
P. Bizon, Y. Ovchinnikov, I. Sigal, ''[http://arxiv.org/abs/math.AP/0307026 Collapse of an Instanton]'', preprint.
  
[[BizTb2001]]
+
=====[[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.
 
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]]
+
=====[[BluSf2003]]=====
 
P. Blue, A. Soffer, Semilinear wave equations on the Schwarzschild manifold I.Local decay estimates, Adv. Diff Eq. 8 (2003), 595-614.
 
P. Blue, A. Soffer, Semilinear wave equations on the Schwarzschild manifold I.Local decay estimates, Adv. Diff Eq. 8 (2003), 595-614.
  
[[Bn1975]]
+
=====[[Bn1975]]=====
 
J. Bona, ''On the stability theory of solitary waves'', Proc. R. Soc. Lond. A. '''344''' (1975), 363-374.
 
J. Bona, ''On the stability theory of solitary waves'', Proc. R. Soc. Lond. A. '''344''' (1975), 363-374.
  
[[BnDgKar1986]]
+
=====[[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.
 
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]]
+
=====[[BnLiu2002]]=====
 
J. Bona, Y. Liu, ''Instability of solitary-wave solutions of the Kadomtsev-Petviashvili equation in three dimensions'', ADE '''7''' (2002), 1-33.
 
J. Bona, Y. Liu, ''Instability of solitary-wave solutions of the Kadomtsev-Petviashvili equation in three dimensions'', ADE '''7''' (2002), 1-33.
  
[[BnPoSauTm1992]]
+
=====[[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.
 
J. Bona, G. Ponce, J-C. Saut, M. Tom, ''A model system for strong interaction between internal solitary waves'', CMP '''143''' (1992), 287-313.
  
[[BnSco1976]]
+
=====[[BnSco1976]]=====
 
J. Bona, R. Scott, ''Solutions of the Korteweg-de Vries equation, in fractional order Sobolev spaces'', Duke Math J. '''43''' (1976), 87-99.
 
J. Bona, R. Scott, ''Solutions of the Korteweg-de Vries equation, in fractional order Sobolev spaces'', Duke Math J. '''43''' (1976), 87-99.
  
[[BnSmr1975]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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
 
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]]
+
=====[[BnWi1983]]=====
 
J. Bona, R. Winther, ''The Korteweg-de Vries equation, posed in a quarter plane'', SIAM J. Math. Anal. '''14''' (1983), 1056-1106.
 
J. Bona, R. Winther, ''The Korteweg-de Vries equation, posed in a quarter plane'', SIAM J. Math. Anal. '''14''' (1983), 1056-1106.
  
[[BnWe-p]]
+
=====[[BnWe-p]]=====
 
J. Bona, F. B. Weissler, ''Similarity solutions of the generalized Korteweg-de Vries equations'', preprint.
 
J. Bona, F. B. Weissler, ''Similarity solutions of the generalized Korteweg-de Vries equations'', preprint.
  
[[Bd1993]]
+
=====[[Bd1993]]=====
 
A. de Bouard, Analytic solutions to nonelliptic nonlinear Schrodinger equations, JDE 104 (1993), 196-213.
 
A. de Bouard, Analytic solutions to nonelliptic nonlinear Schrodinger equations, JDE 104 (1993), 196-213.
  
[[BdDbTs1999]]
+
=====[[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
 
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]]
+
=====[[BdSau1997]]=====
 
A. de Bouard, J.C. Saut, ''Solitary waves of generalized Kadomtsev-Petviashvili equations'', Annales IHP, Analyse non-lineaire '''14''' (1997) 211-236.
 
A. de Bouard, J.C. Saut, ''Solitary waves of generalized Kadomtsev-Petviashvili equations'', Annales IHP, Analyse non-lineaire '''14''' (1997) 211-236.
  
[[BdHaSau1997]]
+
=====[[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.
 
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]]
+
=====[[BdMt2004]]=====
 
A. de Bouard, Y. Martel, Nonexistence of L^2-compact solutions of the Kadomptsev-Petviashvili II equation, Math. Ann. 328 (2004), 525\u2014554.
 
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]]
+
=====[[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.
 
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]]
+
=====[[Bo1992]]=====
 
J. Bourgain, ''A remark on Schrodinger operators'', Israel J. Math. '''77''' (1992), 1-16.
 
J. Bourgain, ''A remark on Schrodinger operators'', Israel J. Math. '''77''' (1992), 1-16.
  
[[Bo1993]]
+
=====[[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.
 
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]]
+
=====[[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. 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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[Bo1994]]=====
 
J. Bourgain, ''On the Cauchy and invariant measure problem for the periodic Zakharov system'', Duke Math. J. '''76''' (1994), 175-202.
 
J. Bourgain, ''On the Cauchy and invariant measure problem for the periodic Zakharov system'', Duke Math. J. '''76''' (1994), 175-202.
  
[[Bo1994b]]
+
=====[[Bo1994b]]=====
 
J. Bourgain, ''Harmonic analysis and nonlinear partial differential equations'', Proceedings of the ICM 1994, 31-44, Birkhauser Basel, 1995.
 
J. Bourgain, ''Harmonic analysis and nonlinear partial differential equations'', Proceedings of the ICM 1994, 31-44, Birkhauser Basel, 1995.
  
[[Bo1994c]]
+
=====[[Bo1994c]]=====
 
J. Bourgain, ''Periodic nonlinear Schrodinger equation and invariant measures'', CMP '''166''' (1994), 1-26.
 
J. Bourgain, ''Periodic nonlinear Schrodinger equation and invariant measures'', CMP '''166''' (1994), 1-26.
  
[[Bo1995]]
+
=====[[Bo1995]]=====
 
J. Bourgain, ''Estimates for cone multipliers'', Operator Theory: Advances and Applications, '''77''' (1995), 41-60.
 
J. Bourgain, ''Estimates for cone multipliers'', Operator Theory: Advances and Applications, '''77''' (1995), 41-60.
  
[[Bo1995b]]
+
=====[[Bo1995b]]=====
 
J. Bourgain, ''Aspects of longtime behaviour of solutions of nonlinear Hamiltonian evolution equations'', GAFA ''5'' (1995), 105-140.
 
J. Bourgain, ''Aspects of longtime behaviour of solutions of nonlinear Hamiltonian evolution equations'', GAFA ''5'' (1995), 105-140.
  
[[Bo1995c]]
+
=====[[Bo1995c]]=====
 
J. Bourgain, ''Periodic nonlinear Schrodinger equations and invariant measures'', CMP '''166''' (1995), 1-26.
 
J. Bourgain, ''Periodic nonlinear Schrodinger equations and invariant measures'', CMP '''166''' (1995), 1-26.
  
[[Bo1996]]
+
=====[[Bo1996]]=====
 
J. Bourgain, ''On well-posedness of the Zakharov system'', [http://www.imrn.org Int. Math. Research Notices] '''11''' (1996), 515-546.
 
J. Bourgain, ''On well-posedness of the Zakharov system'', [http://www.imrn.org Int. Math. Research Notices] '''11''' (1996), 515-546.
  
[[Bo1996b]]
+
=====[[Bo1996b]]=====
 
J. Bourgain, ''Invariant measures for the 2d-defocussing nonlinear Schrodinger equation'', Comm. Math. Phys. '''176''' (1996), 421-445.
 
J. Bourgain, ''Invariant measures for the 2d-defocussing nonlinear Schrodinger equation'', Comm. Math. Phys. '''176''' (1996), 421-445.
  
[[Bo1996c]]
+
=====[[Bo1996c]]=====
 
J. Bourgain, ''On the growth in time of higher order Sobolev norms of smooth solutions of Hamiltonian PDE'', IMRN '''6''' (1996), 277-304.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[Bo1998b]]=====
 
J. Bourgain, ''Scattering in the energy space and below for 3D NLS'', J. Anal. Math. '''75''' (1998), 267-297.
 
J. Bourgain, ''Scattering in the energy space and below for 3D NLS'', J. Anal. Math. '''75''' (1998), 267-297.
  
  
[[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.
+
=====[[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]]
+
=====[[Bo1999b]]=====
 
J. Bourgain, ''Global well-posedness of defocussing 3D critical NLS in the radial case'', J. Amer. Math. Soc. '''12''' (1999), 145-171.
 
J. Bourgain, ''Global well-posedness of defocussing 3D critical NLS in the radial case'', J. Amer. Math. Soc. '''12''' (1999), 145-171.
  
[[Bo-p]]
+
=====[[Bo-p]]=====
 
J. Bourgain, Remarks on stability and diffusion in high-dimensional Hamiltonian systems and PDE, preprint.
 
J. Bourgain, Remarks on stability and diffusion in high-dimensional Hamiltonian systems and PDE, preprint.
  
[[Bo-p2]]
+
=====[[Bo-p2]]=====
 
J. Bourgain, A remark on normal forms and the I-method for periodic NLS, preprint.
 
J. Bourgain, A remark on normal forms and the I-method for periodic NLS, preprint.
  
[[Bo-p3]]
+
=====[[Bo-p3]]=====
 
J. Bourgain, On the Cauchy problem for periodic KdV type equations, preprint.
 
J. Bourgain, On the Cauchy problem for periodic KdV type equations, preprint.
  
[[BoCo1996]]
+
=====[[BoCo1996]]=====
 
J. Bourgain, J. Colliander, ''On the well-posedness of the Zakharov system'', IMRN '''11''' (1996), 515-546.
 
J. Bourgain, J. Colliander, ''On the well-posedness of the Zakharov system'', IMRN '''11''' (1996), 515-546.
  
[[BoWg1997]]
+
=====[[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, 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.
  
[[Bou1996]]
+
=====[[Bou1996]]=====
 
N. Bournaveas, ''Local existence for the Maxwell-Dirac equations in three space dimensions''. Comm. Partial Differential Equations '''21''' (1996) 693-720.
 
N. Bournaveas, ''Local existence for the Maxwell-Dirac equations in three space dimensions''. Comm. Partial Differential Equations '''21''' (1996) 693-720.
  
[[Bou1999]]
+
=====[[Bou1999]]=====
 
N. Bournaveas, ''Local existence of energy class solutions for the Dirac-Klein-Gordon equations''. Comm. Partial Differential Equations '''24''' (1999), 1167-1193.
 
N. Bournaveas, ''Local existence of energy class solutions for the Dirac-Klein-Gordon equations''. Comm. Partial Differential Equations '''24''' (1999), 1167-1193.
  
[[Bou2000]]
+
=====[[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.
 
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.
  
[[Bou2001]]
+
=====[[Bou2001]]=====
 
N. Bournaveas, ''Low regularity solutions of the Dirac Klein-Gordon equations in two space dimensions''. Comm. Partial Differential Equations '''26''' (2001), 1345-1366.
 
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]]
+
=====[[BdmFsShp-p]]=====
 
A. Boutet de Monvel, A. Fokas, ''The mKdV equation on a half-line'', preprint.
 
A. Boutet de Monvel, A. Fokas, ''The mKdV equation on a half-line'', preprint.
  
[[BdmShp-p]]
+
=====[[BdmShp-p]]=====
 
A. Boutet de Monvel, D. Shepelsky, ''[http://arxiv.org/abs/math.AP/0307194 The mKdV equation on an interval]'', preprint.
 
A. Boutet de Monvel, D. Shepelsky, ''[http://arxiv.org/abs/math.AP/0307194 The mKdV equation on an interval]'', preprint.
  
[[BrlForMai1994]]
+
=====[[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.
 
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]]
+
=====[[Br1975]]=====
 
P. Brenner, ''On L^p - L^{p'} estimates for the wave equation'', Math Z. '''145''' (1975) 251-254.
 
P. Brenner, ''On L^p - L^{p'} estimates for the wave equation'', Math Z. '''145''' (1975) 251-254.
  
[[Br1984]]
+
=====[[Br1984]]=====
 
P. Brenner, ''On spacetime means and everywhere defined scattering operators'', Math. Z. '''186''' (1984), 383-391.
 
P. Brenner, ''On spacetime means and everywhere defined scattering operators'', Math. Z. '''186''' (1984), 383-391.
  
[[Br1985]]
+
=====[[Br1985]]=====
 
P. Brenner, ''On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations'', JDE '''56''' (1985), 310-344.
 
P. Brenner, ''On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations'', JDE '''56''' (1985), 310-344.
  
[[BrKum2000]]
+
=====[[BrKum2000]]=====
 
P. Brenner, P. Kumlin, ''On wave equations with supercritical nonlinearities'', Arch. Math. '''74''' (2000), 129-147.
 
P. Brenner, P. Kumlin, ''On wave equations with supercritical nonlinearities'', Arch. Math. '''74''' (2000), 129-147.
  
[[BrzGa1980]]
+
=====[[BrzGa1980]]=====
 
H. Brezis, T. Gallouet, ''Nonlinear Schrodinger evolution equations'', Nonlinear Analysis Theory, Methods, and Applications '''4''' (1980), 677-681.
 
H. Brezis, T. Gallouet, ''Nonlinear Schrodinger evolution equations'', Nonlinear Analysis Theory, Methods, and Applications '''4''' (1980), 677-681.
  
[[Bs1967]]
+
=====[[Bs1967]]=====
 
A.R. Brodsky, ''On the asymptotic behaviour of solutions of the wave equation'', Proc. Amer. Math. Soc. '''18''' (1967), 207-208.
 
A.R. Brodsky, ''On the asymptotic behaviour of solutions of the wave equation'', Proc. Amer. Math. Soc. '''18''' (1967), 207-208.
  
[[BroJer2000]]
+
=====[[BroJer2000]]=====
 
J. Bronski, R. Jerrard, ''Soliton dynamics in a potential'', Math Res. Lett. '''7''' (2000), 329-342.
 
J. Bronski, R. Jerrard, ''Soliton dynamics in a potential'', Math Res. Lett. '''7''' (2000), 329-342.
  
Line 382: Line 385:
 
C. Bu, W. Strauss, ''An inhomogeneous Boundary Value Problem for Nonlinear Schrodinger Equations'', JDE '''173''' (2001), 79-91.
 
C. Bu, W. Strauss, ''An inhomogeneous Boundary Value Problem for Nonlinear Schrodinger Equations'', JDE '''173''' (2001), 79-91.
  
[[Bub1980]]
+
=====[[Bub1980]]=====
 
B. Bubnov, ''On the Cauchy problem for the Korteweg de Vries equation'', Soviet Math. Dokl. '''21''' (1980), 502-505.
 
B. Bubnov, ''On the Cauchy problem for the Korteweg de Vries equation'', Soviet Math. Dokl. '''21''' (1980), 502-505.
  
[[Bu1998]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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.
  
[[Bu-p]]
+
=====[[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. 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.
  
[[Bu-p2]]
+
=====[[Bu-p2]]=====
 
N. Burq, ''[http://arxiv.org/abs/math.AP/0210279 Smoothing effect for Schrodinger boundary value problems]'', preprint.
 
N. Burq, ''[http://arxiv.org/abs/math.AP/0210279 Smoothing effect for Schrodinger boundary value problems]'', preprint.
  
[[Bu-p3]]
+
=====[[Bu-p3]]=====
 
N. Burq, Estimations de Strichartz pour des perturbations a longe portee de l\u2019operateur de Schrodinger, preprint.
 
N. Burq, Estimations de Strichartz pour des perturbations a longe portee de l\u2019operateur de Schrodinger, preprint.
  
[[BuGdTz-p]]
+
=====[[BuGdTz-p]]=====
 
N. Burq, P. Gerard, N. Tzvetkov, ''Two singular dynamics of the nonlinear Schrodinger equation on a plane domain'', preprint.
 
N. Burq, P. Gerard, N. Tzvetkov, ''Two singular dynamics of the nonlinear Schrodinger equation on a plane domain'', preprint.
  
[[BuGdTz2002]]
+
=====[[BuGdTz2002]]=====
 
N. Burq, P. Gerard, N. Tzvetkov, ''An instability property of the nonlinear Schrodinger equation on S^d'', MRL 9 (2002), 323-335.
 
N. Burq, P. Gerard, N. Tzvetkov, ''An instability property of the nonlinear Schrodinger equation on S^d'', MRL 9 (2002), 323-335.
  
[[BuGdTz-p3]]
+
=====[[BuGdTz-p3]]=====
 
N. Burq, P. Gerard, N. Tzvetkov, ''Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds'', preprint.
 
N. Burq, P. Gerard, N. Tzvetkov, ''Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds'', preprint.
  
[[BuGdTz-p4]]
+
=====[[BuGdTz-p4]]=====
 
N. Burq, P. Gerard, N. Tzvetkov, ''On nonlinear Schrodinger equations in exterior domains'', preprint.
 
N. Burq, P. Gerard, N. Tzvetkov, ''On nonlinear Schrodinger equations in exterior domains'', preprint.
  
[[BuGdTz2003]]
+
=====[[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.
 
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.
  
[[BuGdTz-p6]]
+
=====[[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>
 
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>
  
[[BuGdTz-p7]]
+
=====[[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>
 
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>
  
[[BuPlStaTv-p]]
+
=====[[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>
 
<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]]
+
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<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>
 
<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>
  
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V. Buslaev, G. Perelman, Scattering for the nonlinear Schrodinger equations: states close to a solitary wave, St. Petersburg Math J. 4 (1993), 1111-1142.
  
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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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L.A. Caffarelli, A. Friedman, the blowup boundary for nonlinearwave equations, TAMS 297 (1986), 223-241.
 
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S. Calogero, Global small solutions of the Vlasov-Maxwell system in absence of incoming radiation., preprint
 
S. Calogero, Global small solutions of the Vlasov-Maxwell system in absence of incoming radiation., preprint
  
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R. Carles, ''Geometric optics and long-range scattering for one-dimensional nonlinear Schrodinger equations'', Comm. Math. Phys. '''220''' (2001), 41-67.
 
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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R. Carles, ''Critical nonlinear Schrodinger equations with and without harmonic potential'', Math. Mod. Meth. Appl Sci. '''12''' (2002), 1513-1523..
 
R. Carles, ''Critical nonlinear Schrodinger equations with and without harmonic potential'', Math. Mod. Meth. Appl Sci. '''12''' (2002), 1513-1523..
  
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R. Carles, ''Remarks on nonlinear Schrodinger equations with harmonic potential'', Ann. Henri Poincare '''3''' (2002), 757-772.
 
R. Carles, ''Remarks on nonlinear Schrodinger equations with harmonic potential'', Ann. Henri Poincare '''3''' (2002), 757-772.
  
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R. Carles, ''Critical nonlinear Schrödinger equations with and without harmonic potential'', Math. Mod. Meth. Appl. Sci. (M3AS) '''12''' (2002), 1513-1523
 
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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R. Carles, Annales IHP, Analyse nonlineaire, '''20''' (2003) 501-542.
 
R. Carles, Annales IHP, Analyse nonlineaire, '''20''' (2003) 501-542.
  
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R. Carles, ''[http://arXiv.org/abs/math.AP/0210481 Nonlinear Schrodinger equations with repulsive harmonic potential and applications]'', preprint.
 
R. Carles, ''[http://arXiv.org/abs/math.AP/0210481 Nonlinear Schrodinger equations with repulsive harmonic potential and applications]'', preprint.
  
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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.
 
R. Carles, C. Fermanian, I. Gallagher, ''[http://arXiv.org/abs/math.AP/0212171 On the role of quadratic oscillations in nonlinear Schrodinger equations]'', preprint.
  
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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.
 
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.
  
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R. Carles, Y. Nakamura, ''[http://arXiv.org/abs/math.AP/0302339 Nonlinear Schrodinger equations with Stark potential]'', preprint.
 
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R. Carles, ''[http://arxiv.org/abs/math.AP/0212263 Semiclassical nonlinear Schrodinger equations with potential and focusing initial data]'', preprint.
 
R. Carles, ''[http://arxiv.org/abs/math.AP/0212263 Semiclassical nonlinear Schrodinger equations with potential and focusing initial data]'', preprint.
  
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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.
 
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.
  
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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>
 
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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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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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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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X. Carvajal, F. Linares, ''Some properties for a higher order nonlinear Schr\"odinger equation'', Preprint.</span>
 
X. Carvajal, F. Linares, ''Some properties for a higher order nonlinear Schr\"odinger equation'', Preprint.</span>
  
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X. Carvajal, M. Panthee, ''Unique continuation property for a higher''</span>
 
X. Carvajal, M. Panthee, ''Unique continuation property for a higher''</span>
 
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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>
 
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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J. Colliander, ''Globalizing estimates for the KP-I equation'', Illinois J. Math. '''40''' (1996), 692-698.
 
J. Colliander, ''Globalizing estimates for the KP-I equation'', Illinois J. Math. '''40''' (1996), 692-698.
  
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J. Colliander, The initial value problem for the Zakharov system, PhD Thesis, U. Illinois, 1997.
 
J. Colliander, The initial value problem for the Zakharov system, PhD Thesis, U. Illinois, 1997.
  
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J. Colliander, J. Delort, C. Kenig, G. Staffilani, ''Bilinear Estimates and applications to 2D NLS'', preprint.
  
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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.
 
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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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.
 
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.
  
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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/0203218 Almost conservation laws and global rough solutions to a nonlinear Schrodinger equation]'', Math Res. Lett. 9 (2002), 5-6, 659-682.
  
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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.
 
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.
  
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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.
 
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.
  
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=====[[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://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.
  
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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.
 
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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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
 
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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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/0110049 Multi-linear estimates for periodic KdV equations, and applications]'', preprint
  
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J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Further global well-posedness results for 2D NLS'', preprint.
 
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, ''Further global well-posedness results for 2D NLS'', preprint.
  
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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.
 
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
 
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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J. Colliander, C. Kenig, G. Staffilani, ''Local well-posedness and regularity properties of solutions of the generalized Kadomtsev-Petviashvili equations'', preprint.
 
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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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, 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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Line 825: Line 830:
  
  
[[EaMc1982]]
+
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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.
 
D. Eardley, V. Moncrief, ''The global existence of Yang-Mills-Higgs fields in R^{3+1}'', Comm. Math. Phys. '''83''' (1982), 171-212.
  
[[EckShr1983]]
+
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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.
 
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.
  
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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.
 
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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K. El Dika, Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation, Preprint 2003.
 
K. El Dika, Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation, Preprint 2003.
  
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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.
 
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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M. Esteban, E. Sere, ''An overview of linear and nonlinear Dirac equations'', Discrete Cont. Dynamical Systems '''8''' (2002), 381-397.
 
M. Esteban, E. Sere, ''An overview of linear and nonlinear Dirac equations'', Discrete Cont. Dynamical Systems '''8''' (2002), 381-397.
  
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+
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M. Esteban, W. Strauss, ''Nonlinear bound states outside an insulated sphere'', CPDE '''19''' (1994), 177-194.
 
M. Esteban, W. Strauss, ''Nonlinear bound states outside an insulated sphere'', CPDE '''19''' (1994), 177-194.
  
Line 849: Line 854:
  
  
[[FgGl1996]]
+
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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.
 
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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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.
 
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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A.V. Faminski, ''The Cauchy problem for the Kadomtsev-Petviashvili equation'', Russian Math. Sur. '''5''' (1990), 203-204.
 
A.V. Faminski, ''The Cauchy problem for the Kadomtsev-Petviashvili equation'', Russian Math. Sur. '''5''' (1990), 203-204.
  
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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.
 
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.
  
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M. Flato, J. Simon, E. Taflin, ''On global solutions of the Maxwell-Dirac equations'', CMP '''112''' (1987), 21-49.
 
M. Flato, J. Simon, E. Taflin, ''On global solutions of the Maxwell-Dirac equations'', CMP '''112''' (1987), 21-49.
  
[[Fo-p]]
+
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G. Fonseca, ''Global well-posedness for two dimensional semilinear wave equations'', preprint.
 
G. Fonseca, ''Global well-posedness for two dimensional semilinear wave equations'', preprint.
  
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+
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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.
 
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.
  
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+
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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.
 
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]]
+
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A.S. Fokas, ''Integrable nonlinear evolution equations on the half-line'', CMP '''230''' (2002), 1-39.
 
A.S. Fokas, ''Integrable nonlinear evolution equations on the half-line'', CMP '''230''' (2002), 1-39.
  
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+
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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.
 
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.
  
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A.S. Fokas, A.R. Its, ''The nonlinear Schrodinger equation on an interval'', preprint.
 
A.S. Fokas, A.R. Its, ''The nonlinear Schrodinger equation on an interval'', preprint.
  
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A.S. Fokas, L. Luo, ''Global solutions and their asymptotic behavior for Benjamin-Ono-Burgers type equations'', DIE '''13 '''(2000), 115-124.
 
A.S. Fokas, L. Luo, ''Global solutions and their asymptotic behavior for Benjamin-Ono-Burgers type equations'', DIE '''13 '''(2000), 115-124.
  
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+
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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.
 
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.
  
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+
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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.
 
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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D. Foschi, ''[http://www.math.ias.edu/~dfoschi/ctrxfin.pdf On an endpoint case of the Klainerman-Machedon estimates]'', CPDE '''25''' (2000), 1537-1547.
 
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D. Foschi, ''[http://www.math.ias.edu/~dfoschi/trix.ps Proof of a conjecture on trilinear estimates]'', preprint 1999.
 
D. Foschi, ''[http://www.math.ias.edu/~dfoschi/trix.ps Proof of a conjecture on trilinear estimates]'', preprint 1999.
  
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+
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D. Foschi, ''[http://arxiv.org/abs/math.AP/0312240 Inhomogeneous Strichartz estimates]'', preprint.
 
D. Foschi, ''[http://arxiv.org/abs/math.AP/0312240 Inhomogeneous Strichartz estimates]'', preprint.
  
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+
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D. Foschi, Some remarks on the L^p \u2013 L^q boundedness of trigonometric sums and oscillatory integrals, preprint.
 
D. Foschi, Some remarks on the L^p \u2013 L^q boundedness of trigonometric sums and oscillatory integrals, preprint.
  
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D. Foschi, ''[http://arxiv.org/abs/math.AP/0404011 Maximizers for the Strichartz inequality]'', preprint.
 
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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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J. Frohlich, T. Tsai, H. Yau, On the point-particle (Newtonian) limit of the non-linear Hartree equation, CMP 225 (2002), 223-274.
 
J. Frohlich, T. Tsai, H. Yau, On the point-particle (Newtonian) limit of the non-linear Hartree equation, CMP 225 (2002), 223-274.
  
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D. Fujiwara, ''A construction of the fundamental solution for the Schrodinger equation'', J. Analyse Math. '''35''' (1979), 41-96.
 
D. Fujiwara, ''A construction of the fundamental solution for the Schrodinger equation'', J. Analyse Math. '''35''' (1979), 41-96.
  
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D. Fujiwara, ''Remarks on the convergence of the Feynman path integrals'', Duke Math J. '''47''' (1980), 559-600.
 
D. Fujiwara, ''Remarks on the convergence of the Feynman path integrals'', Duke Math J. '''47''' (1980), 559-600.
  
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I. Fukuda, Y. Tsutsumi, ''On coupled Klein-Gordon-Schrodinger equations II'', J. Math. Anal. Appl. '''66''' (1978), 358-378.
 
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I. Fukuda, Y. Tsutsumi, ''On solutions of the derivative nonlinear Schrodinger equation: existence and uniqueness theorem'', Funkcial. Ekvac. '''23''' (1980), 259-277.
 
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I. Fukuda, Y. Tsutsumi, ''On solutions of the derivative nonlinear Schrodinger equation II'', Funkcial. Ekvac. '''234''' (1981), 85-94.
 
I. Fukuda, Y. Tsutsumi, ''On solutions of the derivative nonlinear Schrodinger equation II'', Funkcial. Ekvac. '''234''' (1981), 85-94.
  
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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
 
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
  
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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)
 
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)
  
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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.
 
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.
  
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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
 
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
  
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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.
 
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.
  
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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.
 
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.
  
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G. Furioli, E. Terraneo, ''Besov spaces and unconditional well-posedness for the semilinear Schrodinger in H^s, ''preprint.
 
G. Furioli, E. Terraneo, ''Besov spaces and unconditional well-posedness for the semilinear Schrodinger in H^s, ''preprint.
  
Line 952: Line 958:
  
  
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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.
 
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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C. Gardner, J. Greene, M. Kruskal, R. Miura, ''A method for solving the Korteweg-de Vries equation'', Phys. Rev. Letters '''19''' (1967), 1095-1097.
 
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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.
 
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.
  
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J. A. Gear, R. Grimshaw, ''Weak and strong interactions between internal solitary waves'', Stud. Appl. Math. '''65''' (1984), 235-258.
 
J. A. Gear, R. Grimshaw, ''Weak and strong interactions between internal solitary waves'', Stud. Appl. Math. '''65''' (1984), 235-258.
  
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P. Gerard, ''Remarques sur l'analyse semi-classique de l'equation Schrodinger non lineaire'', Seminaire EDP de l'Ecole Polytechnique (1992), lecture XIII.
 
P. Gerard, ''Remarques sur l'analyse semi-classique de l'equation Schrodinger non lineaire'', Seminaire EDP de l'Ecole Polytechnique (1992), lecture XIII.
  
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V. Georgiev, ''Small amplitude solutions of the Maxwell-Dirac equations'', IUMJ '''40''' (1991), 845-883.
 
V. Georgiev, ''Small amplitude solutions of the Maxwell-Dirac equations'', IUMJ '''40''' (1991), 845-883.
  
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V. Georgiev, A. Ivanov, Concentration of local energy for two dimensional wave maps, preprint.
 
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V. Georgiev, H. Lindblad, C. Sogge, ''Weighted Strichartz estimates and global existence for semilinear wave equations'', Am. J. Math. '''119''' (1997) 1291-1319.
 
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V. Georgiev, P. Popivanov, ''Global solution to the two-dimensional Klein-Gordon equation'', CPDE '''16''' (1991), 941-995.
 
V. Georgiev, P. Popivanov, ''Global solution to the two-dimensional Klein-Gordon equation'', CPDE '''16''' (1991), 941-995.
  
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V. Georgiev, N. Visciglia, Decay estimate for the wave equation with potential, CPDE 28 (2003), 1325-1369.
 
V. Georgiev, N. Visciglia, Decay estimate for the wave equation with potential, CPDE 28 (2003), 1325-1369.
  
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J.M. Ghidaglia, J.C. Saut, ''On the initial value problem for the Davey-Stewartson system'', Nonlinearity '''3''' (1990), 475-506
 
J.M. Ghidaglia, J.C. Saut, ''On the initial value problem for the Davey-Stewartson system'', Nonlinearity '''3''' (1990), 475-506
  
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J.M. Ghidaglia, J.C. Saut, On the Zakharov-Schulman equations, Nonlinear Dispersive Waves, L. Debnath ed. World Scientific (1992),
 
J.M. Ghidaglia, J.C. Saut, On the Zakharov-Schulman equations, Nonlinear Dispersive Waves, L. Debnath ed. World Scientific (1992),
  
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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.
 
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.
  
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+
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J. Ginibre, ''Equations d'Evolution Semilinearies: L'Equation de Schrodinger Non-lineaire'', Cours de DEA, Universite de Paris-Sud, Paris 1994
 
J. Ginibre, ''Equations d'Evolution Semilinearies: L'Equation de Schrodinger Non-lineaire'', Cours de DEA, Universite de Paris-Sud, Paris 1994
  
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J. Ginibre, ''An introduction to nonlinear Schrödinger equations''. Hokkaido University Technical Report Series in Mathematics 43 (1996) 80-128.
 
J. Ginibre, ''An introduction to nonlinear Schrödinger equations''. Hokkaido University Technical Report Series in Mathematics 43 (1996) 80-128.
  
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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.
 
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.
  
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+
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J. Ginibre, T. Ozawa, ''Long range scattering for nonlinear Schrodinger and Hartree equations in space dimension n>=2'', CMP '''151''' (1993) 619-645.
 
J. Ginibre, T. Ozawa, ''Long range scattering for nonlinear Schrodinger and Hartree equations in space dimension n>=2'', CMP '''151''' (1993) 619-645.
  
[[GiOzVl1994]]
+
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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.
 
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.
  
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+
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J. Ginibre, A. Soffer, G. Velo, ''The global Cauchy problem for the critical non-linear wave equation'', J. Funct. Anal. '''110''' (1982), 96-130.
 
J. Ginibre, A. Soffer, G. Velo, ''The global Cauchy problem for the critical non-linear wave equation'', J. Funct. Anal. '''110''' (1982), 96-130.
  
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+
=====[[GiTs1989]]=====
 
J. Ginibre, Y. Tsutsumi, ''Uniqueness for the generalized Korteweg-de Vries equations'', SIAM J. Math. Anal. '''20''' (1989), 1388-1425.
 
J. Ginibre, Y. Tsutsumi, ''Uniqueness for the generalized Korteweg-de Vries equations'', SIAM J. Math. Anal. '''20''' (1989), 1388-1425.
  
[[GiTsVl1990]]
+
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J. Ginibre, Y. Tsutsumi, G. Velo, ''Existence and uniqueness of solutions for the generalized Korteweg de Vries equation'', Math. Z. '''203''' (1990), 9-36.
 
J. Ginibre, Y. Tsutsumi, G. Velo, ''Existence and uniqueness of solutions for the generalized Korteweg de Vries equation'', Math. Z. '''203''' (1990), 9-36.
  
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J. Ginibre, Y. Tsutsumi, G. Velo, ''On the Cauchy problem for the Zakharov system'', J. Funct. Anal. '''151''', (1997) 384-436.
 
J. Ginibre, Y. Tsutsumi, G. Velo, ''On the Cauchy problem for the Zakharov system'', J. Funct. Anal. '''151''', (1997) 384-436.
  
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+
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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.
 
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.
  
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+
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J. Ginibre, G. Velo, ''On a class of nonlinear Schrodinger equations'', J. Funct. Anal. '''32''' (1979), 1-71.
 
J. Ginibre, G. Velo, ''On a class of nonlinear Schrodinger equations'', J. Funct. Anal. '''32''' (1979), 1-71.
  
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+
=====[[GiVl1980]]=====
 
J. Ginibre, G. Velo, ''On a class of nonlinear Schrodinger equations with nonlocal interactions'', Math Z. '''170''' (1980), 109-136.
 
J. Ginibre, G. Velo, ''On a class of nonlinear Schrodinger equations with nonlocal interactions'', Math Z. '''170''' (1980), 109-136.
  
[[GiVl1982]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[GiVl1985c]]=====
 
J. Ginibre, G. Velo, ''The global Cauchy problem for the non linear Klein-Gordon equation'', Math. Z. '''189''' (1985), 487-505.
 
J. Ginibre, G. Velo, ''The global Cauchy problem for the non linear Klein-Gordon equation'', Math. Z. '''189''' (1985), 487-505.
  
[[GiVl1985d]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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. 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]]
+
=====[[GiVl1991]]=====
 
J. Ginibre, G. Velo, ''Smoothing properties and existence of solutions for the generalized Bejamin-Ono equations'', JDE '''93''' (1991), 150-232.
 
J. Ginibre, G. Velo, ''Smoothing properties and existence of solutions for the generalized Bejamin-Ono equations'', JDE '''93''' (1991), 150-232.
  
[[GiVl1992]]
+
=====[[GiVl1992]]=====
 
J. Ginibre, G. Velo, ''Smoothing properties and retarded estimates for some dispersive evolution equations'', Comm. Math. Phys. '''144''' (1992), 163-188.
 
J. Ginibre, G. Velo, ''Smoothing properties and retarded estimates for some dispersive evolution equations'', Comm. Math. Phys. '''144''' (1992), 163-188.
  
[[GiVl1995]]
+
=====[[GiVl1995]]=====
 
J. Ginibre, G. Velo, ''Generalized Strichartz Inequalities for the Wave Equation'', J. Func. Anal., '''133''' (1995), 50-68.
 
J. Ginibre, G. Velo, ''Generalized Strichartz Inequalities for the Wave Equation'', J. Func. Anal., '''133''' (1995), 50-68.
  
[[GiVl1995b]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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, G. Velo, ''Long range scattering and modified wave operators for some Hartree type equations II'', Ann. Henri Poincare '''1''' (2000), 753-800.
  
[[GiVl2001]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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, 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]]
+
=====[[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.
 
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]]
+
=====[[GiVl-p5]]=====
 
J. Ginibre, G. Velo, ''Scattering Theory for the Schr"odinger Equation in some external time dependent magnetic fields'', preprint
 
J. Ginibre, G. Velo, ''Scattering Theory for the Schr"odinger Equation in some external time dependent magnetic fields'', preprint
  
[[GgMe1994]]
+
=====[[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.
 
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]]
+
=====[[GgMe1994b]]=====
 
L. Glangetas, F. Merle, ''Existence of self-similar blow-up solutions for Zakharov equation in dimension two I.'' CMP '''160''' (1994) 173-215.
 
L. Glangetas, F. Merle, ''Existence of self-similar blow-up solutions for Zakharov equation in dimension two I.'' CMP '''160''' (1994) 173-215.
  
[[GgMe1995]]
+
=====[[GgMe1995]]=====
 
L. Glangetas, F. Merle, A geometric approach to existence of blow-up solutions, Prepublications Analyse Numerique, Universite Paris VI (1995)
 
L. Glangetas, F. Merle, A geometric approach to existence of blow-up solutions, Prepublications Analyse Numerique, Universite Paris VI (1995)
  
[[Gs1973]]
+
=====[[Gs1973]]=====
 
R.T. Glassey, ''On the asymptotic behavior of non-linear wave equations'', Trans. Amer. Math. Soc. '''183''' (1973) 187-200.
 
R.T. Glassey, ''On the asymptotic behavior of non-linear wave equations'', Trans. Amer. Math. Soc. '''183''' (1973) 187-200.
  
[[Gs1977]]
+
=====[[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.
 
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]]
+
=====[[Gs1977b]]=====
 
R.T. Glassey, ''Asymptotic behavor of solutions to certain nonlinear Schrodinger-Hartree equations'', CMP '''53''' (1977), 9-18.
 
R.T. Glassey, ''Asymptotic behavor of solutions to certain nonlinear Schrodinger-Hartree equations'', CMP '''53''' (1977), 9-18.
  
[[Gs1981]]
+
=====[[Gs1981]]=====
 
R.T. Glassey, ''Existence in the large for \Box u = F(u) in two dimensions'', Math Z. '''178''' (1981), 233-261.
 
R.T. Glassey, ''Existence in the large for \Box u = F(u) in two dimensions'', Math Z. '''178''' (1981), 233-261.
  
[[Gs1981b]]
+
=====[[Gs1981b]]=====
 
R.T. Glassey, ''Finite time blow-up for solutions of non-linear wave equations'', Math Z. '''177''' (1981), 323-340.
 
R.T. Glassey, ''Finite time blow-up for solutions of non-linear wave equations'', Math Z. '''177''' (1981), 323-340.
  
[[GsScf1988]]
+
=====[[GsScf1988]]=====
 
R.T. Glassey, J. Schaeffer, ''Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data'', CMP '''119''' (1988), 353-384.
 
R.T. Glassey, J. Schaeffer, ''Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data'', CMP '''119''' (1988), 353-384.
  
[[GsScf1990]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[GsSr1979b]]=====
 
R.T. Glassey, W. A. Strauss, ''Decay of classical Yang-Mills fields'', Comm. Math. Phys. '''65''' (1979), 1-13.
 
R.T. Glassey, W. A. Strauss, ''Decay of classical Yang-Mills fields'', Comm. Math. Phys. '''65''' (1979), 1-13.
  
[[GsSr1984]]
+
=====[[GsSr1984]]=====
 
R.T. Glassey, W.A. Strauss, ''Remarks on collisionless plasmas'', Contemp. Mathematics '''28''' (1984), 269-279.
 
R.T. Glassey, W.A. Strauss, ''Remarks on collisionless plasmas'', Contemp. Mathematics '''28''' (1984), 269-279.
  
[[GsSr1986]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[GsSr1987]]=====
 
R.T. Glassey, W.A. Strauss, ''High velocity particles in collisionless plasma'', Math. Meth. in Appl. Sci. '''9''' (1987), 46-52.
 
R.T. Glassey, W.A. Strauss, ''High velocity particles in collisionless plasma'', Math. Meth. in Appl. Sci. '''9''' (1987), 46-52.
  
[[GbScg-p]]
+
=====[[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.
 
M. Goldberg, W. Schlag, ''[http://front.math.ucdavis.edu/math.AP/0306108 Dispersive estimates for Schrodinger operators in dimensions one and three]'', preprint.
  
[[Go1993]]
+
=====[[Go1993]]=====
 
P. Godin, ''Lifespan of semilinear wave equations in two space dimensions'', CPDE '''18''' (1993), 895-916.
 
P. Godin, ''Lifespan of semilinear wave equations in two space dimensions'', CPDE '''18''' (1993), 895-916.
  
[[Go1995]]
+
=====[[Go1995]]=====
 
P. Godin, ''Global existence of solutions to some exterior radial quasilinear Cauchy-Dirichlet problems'', Amer. J. Math. '''117''' (1995), 1475-1505.
 
P. Godin, ''Global existence of solutions to some exterior radial quasilinear Cauchy-Dirichlet problems'', Amer. J. Math. '''117''' (1995), 1475-1505.
  
[[Grf1990]]
+
=====[[Grf1990]]=====
 
J.M. Graf, ''Phase space analysis of the charge transfer model'', Helv. Physica Acta '''63''' (1990), 107-138.
 
J.M. Graf, ''Phase space analysis of the charge transfer model'', Helv. Physica Acta '''63''' (1990), 107-138.
  
[[Grn1998]]
+
=====[[Grn1998]]=====
 
E. Grenier, ''Semiclassical limit of the nonlinear Schrodinger equation in small time'', PAMS '''126''' (1998), 523-530.
 
E. Grenier, ''Semiclassical limit of the nonlinear Schrodinger equation in small time'', PAMS '''126''' (1998), 523-530.
  
[[Gl1988]]
+
=====[[Gl1988]]=====
 
M. Grillakis, ''Linearized instability for nonlinear Schrödinger and Klein-Gordon equations.'' Comm. Pure Appl. Math. '''41 '''(1988), 747-774.
 
M. Grillakis, ''Linearized instability for nonlinear Schrödinger and Klein-Gordon equations.'' Comm. Pure Appl. Math. '''41 '''(1988), 747-774.
  
[[Gl1990]]
+
=====[[Gl1990]]=====
 
M. Grillakis, ''Regularity and asymptotic behaviour of the wave equation with a critical non-linearity'', Ann. Math. '''132''' (1990), 485-509.
 
M. Grillakis, ''Regularity and asymptotic behaviour of the wave equation with a critical non-linearity'', Ann. Math. '''132''' (1990), 485-509.
  
[[Gl1992]]
+
=====[[Gl1992]]=====
 
M. Grillakis, ''Regularity for the wave equation with a critical nonlinearity'', Comm. Pure Appl. Math., '''45''' (1992), 749-774.
 
M. Grillakis, ''Regularity for the wave equation with a critical nonlinearity'', Comm. Pure Appl. Math., '''45''' (1992), 749-774.
  
[[Gl1992b]]
+
=====[[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.
 
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.
  
[[Gl1994]]
+
=====[[Gl1994]]=====
 
M. Grillakis, ''A priori estimates and regularity of nonlinear waves'', Proceed. Inter. Congress of Math. 1994, Birkhauser, 1187-1194.
 
M. Grillakis, ''A priori estimates and regularity of nonlinear waves'', Proceed. Inter. Congress of Math. 1994, Birkhauser, 1187-1194.
  
[[Gl1998]]
+
=====[[Gl1998]]=====
 
M. Grillakis, ''Energy estimates and the wave map problem''. Comm. Partial Differential Equations '''23 '''(1998), 887-911.
 
M. Grillakis, ''Energy estimates and the wave map problem''. Comm. Partial Differential Equations '''23 '''(1998), 887-911.
  
[[Gl1999]]
+
=====[[Gl1999]]=====
 
M. Grillakis, ''The wave map problem.'' Current developments in mathematics, 1997 (Cambridge, MA), 227-230, Int. Press, Boston, MA, 1999.
 
M. Grillakis, ''The wave map problem.'' Current developments in mathematics, 1997 (Cambridge, MA), 227-230, Int. Press, Boston, MA, 1999.
  
[[Gl-p]]
+
=====[[Gl-p]]=====
 
M. Grillakis, ''Classical solutions for the equivariant wave map in 1+2 dimensions'', to appear in Indiana Univ. Math. J.
 
M. Grillakis, ''Classical solutions for the equivariant wave map in 1+2 dimensions'', to appear in Indiana Univ. Math. J.
  
[[GlSaSr1982]]
+
=====[[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.
 
M. Grillakis, J. Shatah, W. Strauss, ''Stability theory of solitary waves in the presence of symmetry I'', J. Funct. Anal. '''74''' (1987), 160-197.
  
[[GlSaSr1990]]
+
=====[[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.
 
M. Grillakis, J. Shatah, W. Strauss, ''Stability theory of solitary waves in the presence of symmetry II'', J. Funct. Anal.'''94''' (1990), 308-348.
  
[[GriSan-p]]
+
=====[[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.
 
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]]
+
=====[[Grs1966]]=====
 
L. Gross, ''The Cauchy problem for the coupled Maxwell and Dirac equations'', CPAM '''19''' (1966), 1-15.
 
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.
 
  
[[Gr-p2]]
+
=====[[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.
 
A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0011157 Some local wellposedness results for nonlinear Schroedinger equations below L^2]'', preprint.
  
[[Gr-p3]]
+
=====[[Gr-p3]]=====
 
A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0108184 A bilinear Airy- estimate with application to gKdV-3]'', preprint
 
A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0108184 A bilinear Airy- estimate with application to gKdV-3]'', preprint
  
[[Gr-p4]]
+
=====[[Gr-p4]]=====
 
A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0312238 An improved local well-posedness result for the modified KdV equation]'', preprint
 
A. Gruenrock, ''[http://arxiv.org/abs/math.AP/0312238 An improved local well-posedness result for the modified KdV equation]'', preprint
  
[[Gu1980]]
+
=====[[Gu1980]]=====
 
C. Gu, ''On the Cauchy problem for harmonic maps defined on two-dimensional Minkowski space'', Comm. Pure Appl. Math., '''33''' (1980), 727-737.
 
C. Gu, ''On the Cauchy problem for harmonic maps defined on two-dimensional Minkowski space'', Comm. Pure Appl. Math., '''33''' (1980), 727-737.
  
[[Gu1984]]
+
=====[[Gu1984]]=====
 
C. Gu, ''On the harmonic maps from R^{1,1} to S^{1,1}'', Journal fur Mathematik '''346''' (1984), 101-109.
 
C. Gu, ''On the harmonic maps from R^{1,1} to S^{1,1}'', Journal fur Mathematik '''346''' (1984), 101-109.
  
[[Gue2003]]
+
=====[[Gue2003]]=====
 
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.
 
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.
  
[[GusNaTsa-p]]
+
=====[[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.
 
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.
  
[[GuoNkSr1996]]
+
=====[[GuoNkSr1996]]=====
 
Y. Guo, K. Nakamitsu, W. Strauss, ''Global finite energy solutions of the Maxwell-Schrodinger system'', CMP '''170''' (1986), 181-196.
 
Y. Guo, K. Nakamitsu, W. Strauss, ''Global finite energy solutions of the Maxwell-Schrodinger system'', CMP '''170''' (1986), 181-196.
  
[[GuoTan1992]]
+
=====[[GuoTan1992]]=====
 
B. Guo, S. Tan, Cauchy problem for a generalized nonlinear dispersive equation, JPDE 5(4) (1992), 37-50
 
B. Guo, S. Tan, Cauchy problem for a generalized nonlinear dispersive equation, JPDE 5(4) (1992), 37-50
  
Line 1,223: Line 1,232:
  
  
[[Har1990]]
+
=====[[Har1990]]=====
 
J. Harmse, On Lebesgue space estimates for the wave equation, Indiana Univ. Math. J. 30 (1990), 229-248.
 
J. Harmse, On Lebesgue space estimates for the wave equation, Indiana Univ. Math. J. 30 (1990), 229-248.
  
[[HasKod1987]]
+
=====[[HasKod1987]]=====
 
A. Hasegawa, Y. Kodama, ''Nonlinear pulse propagation in a monomode dielectric guide'', IEEE J. Quantum Elec. '''23''' (1987) 510-524.
 
A. Hasegawa, Y. Kodama, ''Nonlinear pulse propagation in a monomode dielectric guide'', IEEE J. Quantum Elec. '''23''' (1987) 510-524.
  
[[Hm1972]]
+
=====[[Hm1972]]=====
 
H. Hasimoto, ''A soliton on a vortex filament'', Journal of fluids mechanics '''51''' (1972), 477-485.
 
H. Hasimoto, ''A soliton on a vortex filament'', Journal of fluids mechanics '''51''' (1972), 477-485.
  
[[HslTaWun-p]]
+
=====[[HslTaWun-p]]=====
 
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.
 
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.
  
[[Ha1990]]
+
=====[[Ha1990]]=====
 
N. Hayashi, ''Global existence of small analytic solutions to nonlinear Schrodinger equations'', Duke Math J. '''60''' (1990), 717-727.
 
N. Hayashi, ''Global existence of small analytic solutions to nonlinear Schrodinger equations'', Duke Math J. '''60''' (1990), 717-727.
  
[[Ha1993]]
+
=====[[Ha1993]]=====
 
N. Hayashi, ''The initial value problem for the derivative nonlinear Schrodinger equation in the energy space'', Nonlinear Anal. '''20''' (1993), 823-833.
 
N. Hayashi, ''The initial value problem for the derivative nonlinear Schrodinger equation in the energy space'', Nonlinear Anal. '''20''' (1993), 823-833.
  
[[Ha1995]]
+
=====[[Ha1995]]=====
 
N. Hayashi, ''Global existence of small solutions to quadratic nonlinear wave equations in an exterior domain'', J. Funct. Anal. '''131''' (1995), 302-344.
 
N. Hayashi, ''Global existence of small solutions to quadratic nonlinear wave equations in an exterior domain'', J. Funct. Anal. '''131''' (1995), 302-344.
  
[[Ha2000]]
+
=====[[Ha2000]]=====
 
N. Hayashi, ''Asymptotic behavior of time of solutions to nonlinear wave equation in an exterior domain''. CPDE '''25''' (2000), 423-456.
 
N. Hayashi, ''Asymptotic behavior of time of solutions to nonlinear wave equation in an exterior domain''. CPDE '''25''' (2000), 423-456.
  
[[Ha-p]]
+
=====[[Ha-p]]=====
 
N. Hayashi, ''Local existence in time of small solutions to the Ishimori system'', preprint.
 
N. Hayashi, ''Local existence in time of small solutions to the Ishimori system'', preprint.
  
[[HaKak1995]]
+
=====[[HaKak1995]]=====
 
N. Hayashi, K. Kato, ''Regularity in time of solutions to nonlinear Schrodinger equations'', J. Funct. Anal. 128 (1995), 253-277.
 
N. Hayashi, K. Kato, ''Regularity in time of solutions to nonlinear Schrodinger equations'', J. Funct. Anal. 128 (1995), 253-277.
  
[[HaKakNm1998]]
+
=====[[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>
 
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>
  
[[HaMia1999]]
+
=====[[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>
 
C. Miao, N. Hayashi, ''Global existence of small solutions to the genrealized derivative non-linear Schrodinger equation,'' Asymptotic Analysis 21 (1999), 133-147.</span>
  
[[HaHr-p]]
+
=====[[HaHr-p]]=====
 
N. Hayashi, H. Hirata, ''Global existence of small solutions to nonlinear Schrodinger equations'', preprint.</span>
 
N. Hayashi, H. Hirata, ''Global existence of small solutions to nonlinear Schrodinger equations'', preprint.</span>
  
[[HaKaiNm1998]]
+
=====[[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>
 
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>
  
[[HaKakOz1996]]
+
=====[[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; 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>
  
[[HaKakNm1998]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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.
  
[[HaNkTs1987]]
+
=====[[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, K. Nakamitsu, M. Tsutsumi, ''On solutions to the initial value problem for the nonlinear Schrodinger equations'', J. Funct. Anal. 71 (1987), 218-245.
  
[[HaNm1997]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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.
  
[[HaNm1998b]]
+
=====[[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, 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.
  
[[HaNm1998c]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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, 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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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, 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]]
+
=====[[HaNmOz1998]]=====
 
N. Hayashi, T. Ozawa, P.I. Naumkin, ''Scattering theory for the Hartree type equation'', SIAM J. Math. Anal. '''29''' (1998), 1256-1267.
 
N. Hayashi, T. Ozawa, P.I. Naumkin, ''Scattering theory for the Hartree type equation'', SIAM J. Math. Anal. '''29''' (1998), 1256-1267.
  
[[HaNmPi-p]]
+
=====[[HaNmPi-p]]=====
 
N. Hayashi, P.I. Naumkin, P.-N. Pipolo, ''Smoothing effect for some derivative nonlinear Schrodinger equations'', preprint.
 
N. Hayashi, P.I. Naumkin, P.-N. Pipolo, ''Smoothing effect for some derivative nonlinear Schrodinger equations'', preprint.
  
[[HaNmSau1999]]
+
=====[[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, 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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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, 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]]
+
=====[[HaOz1989]]=====
 
N. Hayashi, T. Ozawa, ''Smoothing effect for some Schrödinger equations.'' J. Funct. Anal. '''85''' (1989), no. 2, 307-348.
 
N. Hayashi, T. Ozawa, ''Smoothing effect for some Schrödinger equations.'' J. Funct. Anal. '''85''' (1989), no. 2, 307-348.
  
[[HaOz1992]]
+
=====[[HaOz1992]]=====
 
N. Hayashi, T. Ozawa, ''On the derivative nonlinear Schrodinger equation'', Phys D '''55'''(1992), 14-36.
 
N. Hayashi, T. Ozawa, ''On the derivative nonlinear Schrodinger equation'', Phys D '''55'''(1992), 14-36.
  
[[HaOz1994]]
+
=====[[HaOz1994]]=====
 
N. Hayashi, T. Ozawa, ''Finite energy solutions of nonlinear Schrodinger equations of derivative type'', SIAM J. Math. Anal. '''25''' (1994), 1488-1503.
 
N. Hayashi, T. Ozawa, ''Finite energy solutions of nonlinear Schrodinger equations of derivative type'', SIAM J. Math. Anal. '''25''' (1994), 1488-1503.
  
[[HaOz1994b]]
+
=====[[HaOz1994b]]=====
 
N. Hayashi, T. Ozawa, ''Remarks on nonlinear Schrodinger equations in one space dimension'', Diff. Integ. Eq. '''7''' (1994), 453-461.
 
N. Hayashi, T. Ozawa, ''Remarks on nonlinear Schrodinger equations in one space dimension'', Diff. Integ. Eq. '''7''' (1994), 453-461.
  
[[HaOz1994c]]
+
=====[[HaOz1994c]]=====
 
N. Hayashi, T. Ozawa, ''Modified wave operators for the derivative nonlinear Schrodinger equation'', Math. Ann. '''298''' (1994), 557-576.
 
N. Hayashi, T. Ozawa, ''Modified wave operators for the derivative nonlinear Schrodinger equation'', Math. Ann. '''298''' (1994), 557-576.
  
[[HaOz1995]]
+
=====[[HaOz1995]]=====
 
N. Hayashi, T. Ozawa, ''Schrodinger equations with nonlinearity of integral time'', Discrete and Continuous Dynamical Systems '''1''' (1995), 475-484.
 
N. Hayashi, T. Ozawa, ''Schrodinger equations with nonlinearity of integral time'', Discrete and Continuous Dynamical Systems '''1''' (1995), 475-484.
  
[[HaSau1995]]
+
=====[[HaSau1995]]=====
 
N. Hayashi, J.C. Saut, ''Global existence of small solutions to the Davey-Stewartson and the Ishimori systems'', DIE '''8''' (1995), 1657-1675.
 
N. Hayashi, J.C. Saut, ''Global existence of small solutions to the Davey-Stewartson and the Ishimori systems'', DIE '''8''' (1995), 1657-1675.
  
[[HaTs1986]]
+
=====[[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.
 
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]]
+
=====[[HaTs1987]]=====
 
N. Hayashi, Y. Tsutsumi, ''Scattering theory for Hartree type equations'', Ann. Inst. Henri Poincare, Phys. Th. '''47''' (1987), 187-213.
 
N. Hayashi, Y. Tsutsumi, ''Scattering theory for Hartree type equations'', Ann. Inst. Henri Poincare, Phys. Th. '''47''' (1987), 187-213.
  
[[HaTs1987b]]
+
=====[[HaTs1987b]]=====
 
N. Hayashi, Y. Tsutsumi, ''Remarks on the scattering problem for nonlinear Schrodinger equations'', LNM '''1285''', 162-168, Springer, Berlin-New York, 1987.
 
N. Hayashi, Y. Tsutsumi, ''Remarks on the scattering problem for nonlinear Schrodinger equations'', LNM '''1285''', 162-168, Springer, Berlin-New York, 1987.
  
[[HaWl1987]]
+
=====[[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.
 
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]]
+
=====[[He1991]]=====
 
F. Helein, ''Regularity of weakly harmonic maps from a surface into a manifold with symmetries'', Manusc. Math. '''70''' (1991), 203-218.
 
F. Helein, ''Regularity of weakly harmonic maps from a surface into a manifold with symmetries'', Manusc. Math. '''70''' (1991), 203-218.
  
[[Hi1998]]
+
=====[[Hi1998]]=====
 
K. Hidano, ''Nonlinear small data scattering for the wave equation in R^{4+1}'', J. Math. Soc. Japan '''50''' (1998), 253-292
 
K. Hidano, ''Nonlinear small data scattering for the wave equation in R^{4+1}'', J. Math. Soc. Japan '''50''' (1998), 253-292
  
[[Hi-p1]]
+
=====[[Hi-p1]]=====
 
K. Hidano, S''mall data scattering and blow-up for the wave equation with a cubic convolution'', Funkcial. Ekvac., to appear.
 
K. Hidano, S''mall data scattering and blow-up for the wave equation with a cubic convolution'', Funkcial. Ekvac., to appear.
  
[[Hi-p2]]
+
=====[[Hi-p2]]=====
 
K. Hidano, S''cattering and self-similar solutions for the wave equation'', to appear.
 
K. Hidano, S''cattering and self-similar solutions for the wave equation'', to appear.
  
[[Hi-p3]]
+
=====[[Hi-p3]]=====
 
K. Hidano, ''Scattering for the non-linear wave equation in the finite energy and conformal charge space'', preprint.
 
K. Hidano, ''Scattering for the non-linear wave equation in the finite energy and conformal charge space'', preprint.
  
[[Hi-p4]]
+
=====[[Hi-p4]]=====
 
K. Hidano, ''An elementary proof of global or almost global existence for quasi-linear wave equations'', preprint.
 
K. Hidano, ''An elementary proof of global or almost global existence for quasi-linear wave equations'', preprint.
  
[[HiYk-p]]
+
=====[[HiYk-p]]=====
 
K. Hidano, K. Yokoyama, ''A remark on the almost global existence theorems of Keel, Smith, and Sogge'', preprint.
 
K. Hidano, K. Yokoyama, ''A remark on the almost global existence theorems of Keel, Smith, and Sogge'', preprint.
  
[[HiYk-p2]]
+
=====[[HiYk-p2]]=====
 
K. Hidano, K. Yokoyama, A new proof of the global existence theorem of Klainerman, preprint.
 
K. Hidano, K. Yokoyama, A new proof of the global existence theorem of Klainerman, preprint.
  
[[HimMis2001]]
+
=====[[HimMis2001]]=====
 
A. Himonas, G. Misiolek, ''A priori estimates for Schrodinger type multipliers'', Illinois J. Math. '''45''' (2001), 631-640.
 
A. Himonas, G. Misiolek, ''A priori estimates for Schrodinger type multipliers'', Illinois J. Math. '''45''' (2001), 631-640.
  
[[Hog1985]]
+
=====[[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.
 
S.J. Hogan, The fourth order evolution equation for deep-water gravity-capillary waves, Proc. Roy. Soc. London Ser. A. 402 (1985), 359-372.
  
[[Hp1994]]
+
=====[[Hp1994]]=====
 
J. Hoppe, ''Some classical solutions of relativistic membrane equations in 4-space-time dimensions'', Phys. Lett. B '''329 1''' (1994), 10-14.
 
J. Hoppe, ''Some classical solutions of relativistic membrane equations in 4-space-time dimensions'', Phys. Lett. B '''329 1''' (1994), 10-14.
  
[[Ho1988]]
+
=====[[Ho1988]]=====
 
L. Hormander, ''L^1, L^\infty estimates for the wave operator'', Analyse math. et appl., Gauthier-Villars, Paris, 1988, 211-234
 
L. Hormander, ''L^1, L^\infty estimates for the wave operator'', Analyse math. et appl., Gauthier-Villars, Paris, 1988, 211-234
  
[[Ho1997]]
+
=====[[Ho1997]]=====
 
L. Hormander, Lectures on nonlinear hyperbolic differential equations, Mathematiques & Applications, 26. Springer-Verlag, 1997.
 
L. Hormander, Lectures on nonlinear hyperbolic differential equations, Mathematiques & Applications, 26. Springer-Verlag, 1997.
  
[[Hg1995]]
+
=====[[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.
 
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]]
+
=====[[Hg1998]]=====
 
A. Hoshiga, ''The lifespan of solutions to quasilinear hyperbolic systems in the critical case'', Funkcial. Ekvac. '''41''' (1998), 167-188.
 
A. Hoshiga, ''The lifespan of solutions to quasilinear hyperbolic systems in the critical case'', Funkcial. Ekvac. '''41''' (1998), 167-188.
  
[[HgKu2000]]
+
=====[[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.
 
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.
  
[[Hs1997]]
+
=====[[Hs1997]]=====
 
T. Hoshiro, On weighted L^2 estimates of solutions to wave equations, J. Anal. Math. 72 (1997), 127\u2014140.
 
T. Hoshiro, On weighted L^2 estimates of solutions to wave equations, J. Anal. Math. 72 (1997), 127\u2014140.
  
[[Hs1999]]
+
=====[[Hs1999]]=====
 
T. Hoshiro, ''Mourre's method and smoothing properties of dispersive equations'', Comm. Math. Phys. '''202''' (1999), 255-265.
 
T. Hoshiro, ''Mourre's method and smoothing properties of dispersive equations'', Comm. Math. Phys. '''202''' (1999), 255-265.
  
[[Hs-p]]
+
=====[[Hs-p]]=====
 
T. Hoshiro, Decay and regularity for dispersive equations with constant coefficients, preprint.
 
T. Hoshiro, Decay and regularity for dispersive equations with constant coefficients, preprint.
  
[[HuKaMar1977]]
+
=====[[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.
 
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]]
+
=====[[HuoGuo-p]]=====
 
Z. Huo, B. Guo, The well-posedness of the Cauchy problem for the generalized nonlinear dispersive equation, preprint.
 
Z. Huo, B. Guo, The well-posedness of the Cauchy problem for the generalized nonlinear dispersive equation, preprint.
  
Line 1,421: Line 1,430:
  
  
[[Ic1984]]
+
=====[[Ic1984]]=====
 
W. Ichinose, Some remarks on the Cauchy problem for Schrodinger type equations, Osaka J. Math 21 (1984), 565-581.
 
W. Ichinose, Some remarks on the Cauchy problem for Schrodinger type equations, Osaka J. Math 21 (1984), 565-581.
  
[[Ik1968]]
+
=====[[Ik1968]]=====
 
M. Ikawa, ''Mixed problems for hyperbolic equations of second order'', J. Math. Soc. Japan '''20''' (1968), 580-608.
 
M. Ikawa, ''Mixed problems for hyperbolic equations of second order'', J. Math. Soc. Japan '''20''' (1968), 580-608.
  
[[Ik1982]]
+
=====[[Ik1982]]=====
 
M. Ikawa, ''Decay of solutions of the wave equations to the exterior of two convex bodies'', Osaka J. Math. '''19''' (1982), 459-509.
 
M. Ikawa, ''Decay of solutions of the wave equations to the exterior of two convex bodies'', Osaka J. Math. '''19''' (1982), 459-509.
  
[[Ik1998]]
+
=====[[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.
 
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]]
+
=====[[IonKn-p]]=====
 
A. Ionescu. C. Kenig, L^p Carleman inequalities and uniqueness of solutions of nonlinear Schrodinger equations
 
A. Ionescu. C. Kenig, L^p Carleman inequalities and uniqueness of solutions of nonlinear Schrodinger equations
  
[[Io1986]]
+
=====[[Io1986]]=====
 
R.J. Iorio Jr., ''On the Cauchy problem for the Benjamin-Ono equation'', CPDE '''11''' (1986), 1031-1181.
 
R.J. Iorio Jr., ''On the Cauchy problem for the Benjamin-Ono equation'', CPDE '''11''' (1986), 1031-1181.
  
[[IoNu1998]]
+
=====[[IoNu1998]]=====
 
R. J. Iorio Jr., W.V.L. Nunes, ''On equations of KP-type'', Proc. Roy. Soc. Edinburgh A. '''128''' (1998), 725-743.
 
R. J. Iorio Jr., W.V.L. Nunes, ''On equations of KP-type'', Proc. Roy. Soc. Edinburgh A. '''128''' (1998), 725-743.
  
[[Isk1993]]
+
=====[[Isk1993]]=====
 
V. Isakov, Carleman type estimates in an anisotropic case and applications, JDE 105 (1993), 217\u2014238.
 
V. Isakov, Carleman type estimates in an anisotropic case and applications, JDE 105 (1993), 217\u2014238.
  
[[IsLopMj-p]]
+
=====[[IsLopMj-p]]=====
 
P. Isaza, J. Lopez, J. Mejia, ''The Cauchy problem for the Kadomtsev-Petviashvili (KPII) equation in three space dimensions'', preprint
 
P. Isaza, J. Lopez, J. Mejia, ''The Cauchy problem for the Kadomtsev-Petviashvili (KPII) equation in three space dimensions'', preprint
  
[[IsMj2001]]
+
=====[[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
 
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+
=====[[KnPoVe1994]]=====
 
C. Kenig, G. Ponce, L. Vega, ''Higher-order non-linear dispersive equations'', Proc. Amer. Math. Soc. '''122''' (1994), 157-166.
 
C. Kenig, G. Ponce, L. Vega, ''Higher-order non-linear dispersive equations'', Proc. Amer. Math. Soc. '''122''' (1994), 157-166.
  
[[KnPoVe1994b]]
+
=====[[KnPoVe1994b]]=====
 
C. Kenig, G. Ponce, L. Vega, ''On the genrealized Benjamin-Ono equation'',TAMS '''342''' (1994), 155-172.
 
C. Kenig, G. Ponce, L. Vega, ''On the genrealized Benjamin-Ono equation'',TAMS '''342''' (1994), 155-172.
  
[[KnPoVe1995]]
+
=====[[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.
 
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]]
+
=====[[KnPoVe1996]]=====
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.
+
C. Kenig, G. Ponce, L. Vega, ''A bilinear estimate with applications to the KdV equation'', [http://www.ams.org/jams J. Amer. Math. Soc.] '''9''' (1996), 573-603.
 +
[http://www.ams.org/mathscinet-getitem?mr=id MathSciNet] [[Category:Bibliography]]
  
[[KnPoVe1996b]]
+
=====[[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.
 
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]]
+
=====[[KnPoVe1997]]=====
 
C. Kenig, G. Ponce, L. Vega, ''Global solutions for the KdV equation with unbounded data''. J. Differential Equations '''139''' (1997), 339-364.
 
C. Kenig, G. Ponce, L. Vega, ''Global solutions for the KdV equation with unbounded data''. J. Differential Equations '''139''' (1997), 339-364.
  
[[KnPoVe1997b]]
+
=====[[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, ''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]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[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, ''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.
 
  
[[KnPoVe2003]]
+
 
 +
=====[[KnPoVe2001]]=====
 +
C. Kenig, G. Ponce, L. Vega, ''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
 
C. Kenig, G. Ponce, L. Vega, On unique continuation for the nonlinear Schrodinger equations, CPAM 56 (2003), 1247-1262
  
[[KnPoVe-p]]
+
=====[[KnPoVe-p]]=====
 
C. Kenig, G. Ponce, L. Vega, ''The Cauchy problem for quasilinear Schrodinger equations'', preprint.
 
C. Kenig, G. Ponce, L. Vega, ''The Cauchy problem for quasilinear Schrodinger equations'', preprint.
  
[[KnPoVe-p2]]
+
=====[[KnPoVe-p2]]=====
C. Kenig, G. Ponce, L. Vega, ''Global well-posedness for semi-linear wave equations'', preprint.
+
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]]
+
=====[[KnPoVe-p4]]=====
 
C. Kenig, G. Ponce, L. Vega, On the unique continuation of solutions to the gKdV equation, preprint.
 
C. Kenig, G. Ponce, L. Vega, On the unique continuation of solutions to the gKdV equation, preprint.
  
[[KnPoVe-p5]]
+
=====[[KnPoVe-p5]]=====
 
C. Kenig, G. Ponce, L. Vega, On the uniqueness of solutions of higher order nonlinear dispersive equations, preprint.
 
C. Kenig, G. Ponce, L. Vega, On the uniqueness of solutions of higher order nonlinear dispersive equations, preprint.
  
[[KnPoRolVe-p]]
+
=====[[KnPoRolVe-p]]=====
 
C. Kenig, G. Ponce, C. Rolvung, L. Vega, ''Local existence theory for the generalized nonlinear Schrodinger equations'', preprint.
 
C. Kenig, G. Ponce, C. Rolvung, L. Vega, ''Local existence theory for the generalized nonlinear Schrodinger equations'', preprint.
  
[[KnRu1983]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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.
  
[[KnSo1988]]
+
=====[[KnSo1988]]=====
 
C. Kenig, C. Sogge, A note on unique continuation for Schrodinger\u2019s operator, Proc. AMS 103 (1988), 543\u2014546.
 
C. Kenig, C. Sogge, A note on unique continuation for Schrodinger\u2019s operator, Proc. AMS 103 (1988), 543\u2014546.
  
[[KnSt1997]]
+
=====[[KnSt1997]]=====
 
C. Kenig, G. Staffilani, ''Local well-posedness for higher-order nonlinear dispersive systems'', JFAA '''3''' (1997), 417-433.
 
C. Kenig, G. Staffilani, ''Local well-posedness for higher-order nonlinear dispersive systems'', JFAA '''3''' (1997), 417-433.
  
[[KeWg1998]]
+
=====[[KeWg1998]]=====
 
C. Kenig, W. Wang, ''Existence of local smooth solution for a generalized Zakharov system'', JFAA '''4''' (1998), 469-490.
 
C. Kenig, W. Wang, ''Existence of local smooth solution for a generalized Zakharov system'', JFAA '''4''' (1998), 469-490.
  
[[Ker2002]]
+
=====[[Ker2002]]=====
 
S. Keraani, ''Semiclassical limit for a class of Nonlinear Schrodinger Equations with potential'', CPDE '''27''' (2002), 693-704.
 
S. Keraani, ''Semiclassical limit for a class of Nonlinear Schrodinger Equations with potential'', CPDE '''27''' (2002), 693-704.
  
[[KiLit2003]]
+
=====[[KiLit2003]]=====
 
S. Kichenassamy, W. Littman, Blow-up surfaces for nonlinear wave equations I, CPDE 18 (1993), 431-452.
 
S. Kichenassamy, W. Littman, Blow-up surfaces for nonlinear wave equations I, CPDE 18 (1993), 431-452.
  
[[KiLit2003b]]
+
=====[[KiLit2003b]]=====
 
S. Kichenassamy, W. Littman, Blow-up surfaces for nonlinear wave equations II, CPDE 18 (1993), 1869-1899.
 
S. Kichenassamy, W. Littman, Blow-up surfaces for nonlinear wave equations II, CPDE 18 (1993), 1869-1899.
  
[[Kl1983]]
+
=====[[Kl1983]]=====
 
S. Klainerman, ''Long Time behavior of solutions to nonlinear wave equations'', Proc. ICM Warsawa 1983.
 
S. Klainerman, ''Long Time behavior of solutions to nonlinear wave equations'', Proc. ICM Warsawa 1983.
  
[[Kl1985]]
+
=====[[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.
 
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]]
+
=====[[Kl1985b]]=====
 
S. Klainerman, ''Uniform decay estimate and the Lorentz invariance of the classical wave equations'', CPAM '''38''' (1985), 321-332.
 
S. Klainerman, ''Uniform decay estimate and the Lorentz invariance of the classical wave equations'', CPAM '''38''' (1985), 321-332.
  
[[Kl1986]]
+
=====[[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.
 
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.
  
[[Kl1987]]
+
=====[[Kl1987]]=====
 
S. Klainerman, ''Remarks on the global Sobolev inequalities in the Minkowski space R^{n+1}'', CPAM '''40''' (1987), 111-117.
 
S. Klainerman, ''Remarks on the global Sobolev inequalities in the Minkowski space R^{n+1}'', CPAM '''40''' (1987), 111-117.
  
[[Kl1997]]
+
=====[[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.
 
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.
  
[[Kl-p]]
+
=====[[Kl-p]]=====
 
S. Klainerman, ''[http://www.math.princeton.edu/~seri/homepage/telaviv.ps PDE as a unified subject]'', preprint.
 
S. Klainerman, ''[http://www.math.princeton.edu/~seri/homepage/telaviv.ps PDE as a unified subject]'', preprint.
  
[[Kl-p2]]
+
=====[[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.
 
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]]
+
=====[[KlMa1993]]=====
 
S. Klainerman, M. Machedon, ''Space-time Estimates for Null Forms and the Local Existence Theorem'', Comm. Pure Appl. Math., '''46''' (1993), 1221-1268.
 
S. Klainerman, M. Machedon, ''Space-time Estimates for Null Forms and the Local Existence Theorem'', Comm. Pure Appl. Math., '''46''' (1993), 1221-1268.
  
[[KlMa1994]]
+
=====[[KlMa1994]]=====
 
S. Klainerman, M. Machedon, ''On the Maxwell-Klein-Gordon equation with finite energy'', Duke Math. J. '''74''' (1994), 19-44.
 
S. Klainerman, M. Machedon, ''On the Maxwell-Klein-Gordon equation with finite energy'', Duke Math. J. '''74''' (1994), 19-44.
  
[[KlMa1995]]
+
=====[[KlMa1995]]=====
 
S. Klainerman, M. Machedon, ''Finite energy solutions of the Yang-Mills equations in '''''R'''^{3+1}. Ann. of Math. '''142''' (1995) , 93-116.
 
S. Klainerman, M. Machedon, ''Finite energy solutions of the Yang-Mills equations in '''''R'''^{3+1}. Ann. of Math. '''142''' (1995) , 93-116.
  
[[KlMa1995b]]
+
=====[[KlMa1995b]]=====
 
S. Klainerman, M. Machedon, ''Smoothing estimates for null forms and applications'', Duke Math J. '''81''' (1995), 99-103.
 
S. Klainerman, M. Machedon, ''Smoothing estimates for null forms and applications'', Duke Math J. '''81''' (1995), 99-103.
  
[[KlMa1996]]
+
=====[[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.
 
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]]
+
=====[[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.
 
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]]
+
=====[[KlMa1997]]=====
 
S. Klainerman, M. Machedon, ''On the optimal local regularity for gauge field theories'', Diff. and Integral Eq. '''10''' (1997), 1019-1030.
 
S. Klainerman, M. Machedon, ''On the optimal local regularity for gauge field theories'', Diff. and Integral Eq. '''10''' (1997), 1019-1030.
  
[[KlMa1997b]]
+
=====[[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. Klainerman, M. Machedon, ''On the regularity properties of a model problem related to wave maps'', Duke Math. J. '''87''' (1997), 553-589.
  
[[KlMa1998]]
+
=====[[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.
 
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]]
+
=====[[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
 
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]]
+
=====[[KlNi2003]]=====
 
S. Klainerman, F. Nicolo, The evolution problem in general relativity, Birkhauser 2003
 
S. Klainerman, F. Nicolo, The evolution problem in general relativity, Birkhauser 2003
  
[[KlNi-p]]
+
=====[[KlNi-p]]=====
 
S. Klainerman, F. Nicolo, Peeling properties of asymptotically flat solutions to the Einstein vacuum equations, preprint.
 
S. Klainerman, F. Nicolo, Peeling properties of asymptotically flat solutions to the Einstein vacuum equations, preprint.
  
[[KlPo1983]]
+
=====[[KlPo1983]]=====
 
S. Klainerman, G. Ponce, ''Global small amplitude solutions to nonlinear evolution equations'', CPAM '''36''' (1983), 133-141.
 
S. Klainerman, G. Ponce, ''Global small amplitude solutions to nonlinear evolution equations'', CPAM '''36''' (1983), 133-141.
  
[[KlRo-p]]
+
=====[[KlRo-p]]=====
 
S. Klainerman, I. Rodnianski, ''On the global regularity of wave maps in the critical Sobolev norm'', preprint.
 
S. Klainerman, I. Rodnianski, ''On the global regularity of wave maps in the critical Sobolev norm'', preprint.
  
[[KlRo-p2]]
+
=====[[KlRo-p2]]=====
 
S. Klainerman, I. Rodnianski, ''Improved Local Well Posedness for Quasilinear Wave Equations in Dimension Three'', preprint.
 
S. Klainerman, I. Rodnianski, ''Improved Local Well Posedness for Quasilinear Wave Equations in Dimension Three'', preprint.
  
[[KlRo-p3]]
+
=====[[KlRo-p3]]=====
 
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0109173 Rough solution for the Einstein Vacuum equations]'', preprint
 
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0109173 Rough solution for the Einstein Vacuum equations]'', preprint
  
[[KlRo-p4]]
+
=====[[KlRo-p4]]=====
 
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0109173 The causal structure of microlocalized Einstein metrics]'', preprint
 
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0109173 The causal structure of microlocalized Einstein metrics]'', preprint
  
[[KlRo-p5]]
+
=====[[KlRo-p5]]=====
 
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0110090 Ricci defects of microlocalized Einstein metrics]'', preprint
 
S. Klainerman, I. Rodnianski, ''[http://arXiv.org/abs/math.AP/0110090 Ricci defects of microlocalized Einstein metrics]'', preprint
  
[[KlRo-p6]]
+
=====[[KlRo-p6]]=====
 
S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0308123 Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux]'', preprint
 
S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0308123 Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux]'', preprint
  
[[KlRo-p7]]
+
=====[[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, 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]]
+
=====[[KlRo-p8]]=====
 
S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0309463 A geometric approach to the Littlewood-Paley theory]'', preprint.
 
S. Klainerman, I. Rodnianski, ''[http://arxiv.org/abs/math.AP/0309463 A geometric approach to the Littlewood-Paley theory]'', preprint.
  
[[KlRoTa-p2]]
+
=====[[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.
 
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]]
+
=====[[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, S. Selberg, ''Remark on the optimal regularity for equations of wave maps type'', C.P.D.E., '''22''' (1997), 901-918.
  
[[KlSb-p]]
+
=====[[KlSb-p]]=====
 
S. Klainerman, S. Selberg, ''[http://www.math.princeton.edu/~seri/homepage/Survey.ps Bilinear estimates and applications to nonlinear wave equations]'', preprint.
 
S. Klainerman, S. Selberg, ''[http://www.math.princeton.edu/~seri/homepage/Survey.ps Bilinear estimates and applications to nonlinear wave equations]'', preprint.
  
[[KlSi1996]]
+
=====[[KlSi1996]]=====
 
S. Klainerman, T. Sideris, ''On almost global existence for nonrelativistic wave equations in 3D'', CPAM '''49''' (1996), 307-321.
 
S. Klainerman, T. Sideris, ''On almost global existence for nonrelativistic wave equations in 3D'', CPAM '''49''' (1996), 307-321.
  
[[KlSt2002]]
+
=====[[KlSt2002]]=====
 
S. Klainerman, G. Staffilani, ''A new approach to study the Vlasov-Maxwell system'', CPAA '''1''' (2002), 103-125.
 
S. Klainerman, G. Staffilani, ''A new approach to study the Vlasov-Maxwell system'', CPAA '''1''' (2002), 103-125.
  
[[KlTt1999]]
+
=====[[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.
 
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]]
+
=====[[Kg-p]]=====
 
J. Krieger, ''Global regularity of wave maps from '''R'''^{3+1} to a Riemann surface'', preprint.
 
J. Krieger, ''Global regularity of wave maps from '''R'''^{3+1} to a Riemann surface'', preprint.
  
[[KocTz-p]]
+
=====[[KocTz-p]]=====
 
H. Koch, N. Tzvetkov, ''On the local well-posedness of the Benjamin-Ono equation in H^s(R)'', IMRN 2003:26.
 
H. Koch, N. Tzvetkov, ''On the local well-posedness of the Benjamin-Ono equation in H^s(R)'', IMRN 2003:26.
  
[[KocTz-p2]]
+
=====[[KocTz-p2]]=====
 
H. Koch, N. Tzvetkov, ''Nonlinear wave interactions the Benjamin-Ono equation'', preprint.
 
H. Koch, N. Tzvetkov, ''Nonlinear wave interactions the Benjamin-Ono equation'', preprint.
  
[[Kod1985]]
+
=====[[Kod1985]]=====
 
Y. Kodama, ''Optical solitons in a monomode fiber'', J. Statistical Phys. '''39''' (1985), 597-614.
 
Y. Kodama, ''Optical solitons in a monomode fiber'', J. Statistical Phys. '''39''' (1985), 597-614.
  
[[KolNewStrQi2000]]
+
=====[[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.
 
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]]
+
=====[[KonMat1989]]=====
 
B. Konopelchenko, B. Matkarimov, On the inverse scattering transform of the Ishimori equations, Phys. Lett. A 135 (1989), 183-189.
 
B. Konopelchenko, B. Matkarimov, On the inverse scattering transform of the Ishimori equations, Phys. Lett. A 135 (1989), 183-189.
  
[[KozOgTns2001]]
+
=====[[KozOgTns2001]]=====
 
H. Kozono, T. Ogawa, H. Tanisaka, Well-posedness for the Benjamin equations, J. Korean Math. Soc. 38 (2001) 6, 1205-1234.
 
H. Kozono, T. Ogawa, H. Tanisaka, Well-posedness for the Benjamin equations, J. Korean Math. Soc. 38 (2001) 6, 1205-1234.
  
[[KwVr1895]]
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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
 
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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
 
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G. Lebeau, ''Controle de l'equation de Schrodinger'', J. Math. Pures et Appliquees '''71''' (1992), 267-291.
 
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G. Lebeau, ''Singularites de solutions d'equations d'ondes semi-lineaires'', Annals Scientifiques de l'ENS '''25''' (1992), 201-231.
 
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T. Li, X. Yu, ''Lifespan of classical solutions to fully nonlinear wave equations'', CPDE '''16''' (1991), 909-940.
 
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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.
 
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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.
 
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F. Linares, L^2Global well-posedness of the initial value problem associated with the Benjamin equation, JDE 152 (1999), 1425-1433.
 
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H. Lindblad, Global solutions of nonlinear wave equations, CPAM 45 (9) (1992), 1063-1096.
 
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H. Lindblad, ''A Sharp Counterexample to Local Existence of Low Regularity Solutions to Nonlinear Wave Equations'', Duke Math J., '''72''', (1993), 503-539.
 
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H. Lindblad, ''Counterexamples to local existence for semi-linear wave equations'', Amer. J. Math. '''118''' (1996), 1-16.
 
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Y. Liu, ''Blowup and strong instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation'', TAMS '''353''' (2001), 191-208.
  
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Y. Liu, X.P. Wang, ''Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation'', CMP '''183''' (1997), 253-266.
 
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Line 2,039: Line 2,062:
  
  
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M. Machedon, J. Sterbenz, ''Optimal well-posedness for the Maxwell-Klein-Gordon equations in 3+1 dimensions'', preprint.
 
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S. Machihara, ''The nonrelativistic limit of the nonlinear Klein-Gordon equation'', to appear, Funkcial. Ekvac.
 
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S. Machihara, M. Nakamura, K. Nakanishi, T. Ozawa, ''Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation'', preprint.
 
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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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Y. Martel, Multi-soliton-type solutions of the generalized KdV equations, preprint
 
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Y. Martel, F. Merle, Nonexistence of blow-up solution with minimal L^2 mass for the critical gKdV, DMJ 115 (2002), 385-408.
 
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=====[[MtMe-p3]]=====
 
Y. Martel, F. Merle, ''Asymptotic stability of solitons for the subcritical generalized Korteweg de Vries equations'', preprint.
 
Y. Martel, F. Merle, ''Asymptotic stability of solitons for the subcritical generalized Korteweg de Vries equations'', preprint.
  
[[MtMe-p4]]
+
=====[[MtMe-p4]]=====
 
Y. Martel, F. Merle, ''Stability of the blowup profile and lower bounds for blowup rate for the critical generalized KdV equation'', preprint.
 
Y. Martel, F. Merle, ''Stability of the blowup profile and lower bounds for blowup rate for the critical generalized KdV equation'', preprint.
  
[[MtMe-p]]
+
=====[[MtMe-p]]=====
 
Y. Martel, F. Merle, Asymptotic stability of solitons for the subcritical generalized Korteweg de Vries equations revisited, preprint.
 
Y. Martel, F. Merle, Asymptotic stability of solitons for the subcritical generalized Korteweg de Vries equations revisited, preprint.
  
[[MtMeTsa-p]]
+
=====[[MtMeTsa-p]]=====
 
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
 
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
  
[[MasNa2002]]
+
=====[[MasNa2002]]=====
 
N. Masmoudi, K. Nakanishi, ''From non-linear Klein-Gordon equation to a system of coupled Schrodinger equations'', Math Ann. '''324''' (2002) 2, 359-389
 
N. Masmoudi, K. Nakanishi, ''From non-linear Klein-Gordon equation to a system of coupled Schrodinger equations'', Math Ann. '''324''' (2002) 2, 359-389
  
[[MasNa2003]]
+
=====[[MasNa2003]]=====
 
N. Masmoudi, K. Nakanishi, ''Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrodinger'', IMRN 2003:13
 
N. Masmoudi, K. Nakanishi, ''Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrodinger'', IMRN 2003:13
  
[[Mm1976]]
+
=====[[Mm1976]]=====
 
A. Matsumura, ''On the asymptotic behavior of solutions of semilinear wave equations'', Publ. Res. Inst. Math. Sci. '''12''' (1976/1977), 169-189.
 
A. Matsumura, ''On the asymptotic behavior of solutions of semilinear wave equations'', Publ. Res. Inst. Math. Sci. '''12''' (1976/1977), 169-189.
  
[[Max-p]]
+
=====[[Max-p]]=====
 
D. Maxwell, Rough solutions of the Einstein constraint equations, preprint
 
D. Maxwell, Rough solutions of the Einstein constraint equations, preprint
  
[[Max2005]]
+
=====[[Max2005]]=====
 
D. Maxwell, Rough solutions of the Einstein constraint equations on compact manifolds, J. Hyp. Diff. Eq. 2 (2005), 521-546.
 
D. Maxwell, Rough solutions of the Einstein constraint equations on compact manifolds, J. Hyp. Diff. Eq. 2 (2005), 521-546.
  
[[Me1992]]
+
=====[[Me1992]]=====
 
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.
 
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.
  
[[Me1993]]
+
=====[[Me1993]]=====
 
F. Merle, ''Determination of blow-up solutions with minimal mass for nonlinear Schrodinger equation with critical power'', Duke Math. J. '''69''' (1993), 427-453.
 
F. Merle, ''Determination of blow-up solutions with minimal mass for nonlinear Schrodinger equation with critical power'', Duke Math. J. '''69''' (1993), 427-453.
  
[[Me1996]]
+
=====[[Me1996]]=====
 
F. Merle, ''Asymptotics for L^2 minimal blowup solutions of critical nonlinear Schrodinger equation'', Ann. Inst. Henri Poincare '''13''' (1996), 553-565.
 
F. Merle, ''Asymptotics for L^2 minimal blowup solutions of critical nonlinear Schrodinger equation'', Ann. Inst. Henri Poincare '''13''' (1996), 553-565.
  
[[Me1996b]]
+
=====[[Me1996b]]=====
 
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.
 
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.
  
[[Me1998]]
+
=====[[Me1998]]=====
 
F. Merle, ''Blow-up phenomena for critical nonlinear Schrodinger and Zakharov equations'', Proc. Int. Cong. Mat. (Berlin 1998), Doc. Math. J. DMV.
 
F. Merle, ''Blow-up phenomena for critical nonlinear Schrodinger and Zakharov equations'', Proc. Int. Cong. Mat. (Berlin 1998), Doc. Math. J. DMV.
  
[[Me2001]]
+
=====[[Me2001]]=====
 
F. Merle, ''Existence of blow-up solutions in the energy space for the critical generalized KdV equation'', [http://www.ams.org/jams J. Amer. Math. Soc.] '''14''' (2001), 555-578.
 
F. Merle, ''Existence of blow-up solutions in the energy space for the critical generalized KdV equation'', [http://www.ams.org/jams J. Amer. Math. Soc.] '''14''' (2001), 555-578.
  
[[MeRap-p]]
+
=====[[MeRap-p]]=====
 
F. Merle, P. Raphael, ''Blowup dynamic and upper bound on the blowup rate for the critical nonlinear Schrodinger equation'', preprint.
 
F. Merle, P. Raphael, ''Blowup dynamic and upper bound on the blowup rate for the critical nonlinear Schrodinger equation'', preprint.
  
[[MeRap-p2]]
+
=====[[MeRap-p2]]=====
 
F. Merle, P. Raphael, ''Sharp upper bound on the blowup rate for the critical nonlinear Schrodinger equation'', GAFA 13 (2003), 591-642.
 
F. Merle, P. Raphael, ''Sharp upper bound on the blowup rate for the critical nonlinear Schrodinger equation'', GAFA 13 (2003), 591-642.
  
[[MeRap2004]]
+
=====[[MeRap2004]]=====
 
F. Merle, P. Raphael, On universality of blowup profile for L^2 critical nonlinear Schrodinger equation, Invent. Math. 156 (2004), 565-672.
 
F. Merle, P. Raphael, On universality of blowup profile for L^2 critical nonlinear Schrodinger equation, Invent. Math. 156 (2004), 565-672.
  
[[MeVe1998]]
+
=====[[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.
 
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.
  
[[MeVe2003]]
+
=====[[MeVe2003]]=====
 
F. Merle, L. Vega, ''L^2 stability of solitons for the KdV equation'', IMRN 2003:13.
 
F. Merle, L. Vega, ''L^2 stability of solitons for the KdV equation'', IMRN 2003:13.
  
[[MeZaa2003]]
+
=====[[MeZaa2003]]=====
 
F. Merle, H. Zaag, Determination of the blowup rate for the semilinear wave equation, AJM 125 (2003), 1147 - 1165
 
F. Merle, H. Zaag, Determination of the blowup rate for the semilinear wave equation, AJM 125 (2003), 1147 - 1165
  
[[Met-p]]
+
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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
 
J. Metcalfe, ''[http://arxiv.org/abs/math.AP/0210227 Global Strichartz Estimates for Solutions to the Wave Equations Exterior to a Convex Obstacle]'', preprint
  
[[Met-p2]]
+
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J. Metcalfe, ''[http://arXiv.org/abs/math.AP/0210246 Global existence for semilinear wave equations exterior to nontrapping obstacles]'', preprint.
 
J. Metcalfe, ''[http://arXiv.org/abs/math.AP/0210246 Global existence for semilinear wave equations exterior to nontrapping obstacles]'', preprint.
  
[[MetSo-p]]
+
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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.
 
J. Metcalfe, C.D. Sogge, ''[http://arxiv.org/abs/math/0301290 Hyperbolic trapped rays and global existence of quasilinear wave equations]'', preprint.
  
[[MetSo-p2]]
+
=====[[MetSo-p2]]=====
 
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.
 
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.
  
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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.
 
J. Metcalfe, M. Nakamura, C. Sogge, Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains, preprint.
  
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+
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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.
 
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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+
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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.
 
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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+
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C. Miao, ''On space-time means and solutions to a class of nonlinear parabolic equations'', Science in China, 42 (1998) 682-693.
 
C. Miao, ''On space-time means and solutions to a class of nonlinear parabolic equations'', Science in China, 42 (1998) 682-693.
  
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+
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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.
 
C. Miao, ''The well-posedness of Cauchy problem for the coupled system of Schrodinger-KdV equations'', Acta. Math. Sinica, '''15''' (1999), 215-224.
  
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+
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C. Miao, B. Zhang, D. Fang, ''Global well-posedness for the Klein-Gordon equation below the energy norm'', preprint.
 
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.
 
C. Miao, B. Zhang, ''Besov spaces and self-similar solutions for nonlinear evolution equations'', preprint.
  
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C. Miao, B. Zhang, X. Zhang, ''Self-similar solutions for nonlinear Schrodinger equations'', preprint.
 
C. Miao, B. Zhang, X. Zhang, ''Self-similar solutions for nonlinear Schrodinger equations'', preprint.
  
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+
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C. Miao, B. Zhang, X. Zhang, ''A note on self-similar solutions of the Schrodinger equation'', preprint.
 
C. Miao, B. Zhang, X. Zhang, ''A note on self-similar solutions of the Schrodinger equation'', preprint.
  
[[Mi1976]]
+
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R. Miura, ''The Korteweg-de Vries equation: A survey of results'', SIAM Review '''18''' (1976), 412-459.
 
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.
 
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.
  
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+
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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).
 
S. Mizohata, ''On the Cauchy problem'', Notes and Reports in Math and Science and Engineering, Science Press & Academic Press '''3''' (1985).
  
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+
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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
 
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
  
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+
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L. Molinet, ''On the asymptotic behavior of solutions to the (generalized) Kadomtsev-Petviashvili-Burgers equations'', JDE '''152''' (1999), 30-74.
 
L. Molinet, ''On the asymptotic behavior of solutions to the (generalized) Kadomtsev-Petviashvili-Burgers equations'', JDE '''152''' (1999), 30-74.
  
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L. Molinet, F. Ribaud, Well-posedness results for the Benjamin-Ono equation with small initial data, preprint.
 
L. Molinet, F. Ribaud, Well-posedness results for the Benjamin-Ono equation with small initial data, preprint.
  
[[MlRi2001]]
+
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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.
 
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.
  
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+
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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>
+
L. Molinet, J.-C. Saut, N. Tzvetkov, ''Ill-posedness issues for the Benjamin-Ono and related equations'', SIAM J. Math. Anal. '''33''' (2001), 982--988.
  
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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.
 
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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+
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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.
 
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.
  
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V. Moncrief, ''Global existence of Maxwell-Klein-Gordon fields in (2+1)-dimensional spacetime'', J. Math. Phys. '''21''' (1980), 2291-2296.
 
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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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.
 
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.
  
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C.S. Morawetz, ''The decay of solutions to the exterior initial-boundary problem for the wave equation'', CPAM '''14'''(1961), 561-568.
 
C.S. Morawetz, ''The decay of solutions to the exterior initial-boundary problem for the wave equation'', CPAM '''14'''(1961), 561-568.
  
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C.S. Morawetz, ''Exponential decay of solutions to the wave equation'', Comm. Pure and Appl. Math. '''19''' (1966), 439-444.
 
C.S. Morawetz, ''Exponential decay of solutions to the wave equation'', Comm. Pure and Appl. Math. '''19''' (1966), 439-444.
  
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C.S. Morawetz, ''Time decay for the non-linear Klein-Gordon equation'', Proc. Roy. Soc. A '''306''' (1968), 291-296.
 
C.S. Morawetz, ''Time decay for the non-linear Klein-Gordon equation'', Proc. Roy. Soc. A '''306''' (1968), 291-296.
  
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C.S. Morawetz, Decay for solutions of the exterior problem for the wave equation, CPAM 28 (1975), 229-264.
 
C.S. Morawetz, Decay for solutions of the exterior problem for the wave equation, CPAM 28 (1975), 229-264.
  
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C.S. Morawetz, J. Ralston, W. Strauss, Decay of solutions of the wave equation outside of convex obstacles, CPAM 30 (1977), 447-508.
 
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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.
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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.
  
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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
 
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
  
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A. Moyua, A. Vargas, L. Vega, ''Schrodinger Maximal Function and Restriction Properties of the Fourier transform'', International Math. Research Notices 16 (1996).
 
A. Moyua, A. Vargas, L. Vega, ''Schrodinger Maximal Function and Restriction Properties of the Fourier transform'', International Math. Research Notices 16 (1996).
  
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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.
 
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.
  
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T. Muramatu, S. Taoka, ''The initial value problem for the 1-D semilinear Schrodinger equation in Besov spaces'', preprint.
 
T. Muramatu, S. Taoka, ''The initial value problem for the 1-D semilinear Schrodinger equation in Besov spaces'', preprint.
  
Line 2,244: Line 2,270:
  
  
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A. Nahmod, A. Stefanov, K. Uhlenbeck, ''[http://arxiv.org/abs/math.AP/0104125 On Schrodinger maps]'', CPAM '''56''' (2003), 114-151
  
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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.
 
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B. Najman, ''The nonrelativistic limit of the nonlinear Klein-Gordon equation'', Nonlinear Anal. '''15''' (1990), 217-228.
 
B. Najman, ''The nonrelativistic limit of the nonlinear Klein-Gordon equation'', Nonlinear Anal. '''15''' (1990), 217-228.
  
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K. Nakamitsu, Y. Tsutsumi, ''The Cauchy problem for the coupled Maxwell-Schrodinger equations'', JMP '''27''' (1983), 211-216.
 
K. Nakamitsu, Y. Tsutsumi, ''The Cauchy problem for the coupled Maxwell-Schrodinger equations'', JMP '''27''' (1983), 211-216.
  
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M. Nakamura, T. Ozawa, ''Low energy scattering for nonlinear Schrodinger equations in fractional order Sobolev spaces'', Rev. Math. Phys. '''9''' (1997), 397-410.
 
M. Nakamura, T. Ozawa, ''Low energy scattering for nonlinear Schrodinger equations in fractional order Sobolev spaces'', Rev. Math. Phys. '''9''' (1997), 397-410.
  
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+
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M. Nakamura, T. Ozawa, ''Nonlinear Schrodinger equations in the Sobolev space of critical order'', JFA '''155''' (1998) 364-380.
 
M. Nakamura, T. Ozawa, ''Nonlinear Schrodinger equations in the Sobolev space of critical order'', JFA '''155''' (1998) 364-380.
  
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+
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M. Nakamura, T. Ozawa, ''Small solutions to nonlinear Schrodinger and Klein-Gordon equations'', preprint.
 
M. Nakamura, T. Ozawa, ''Small solutions to nonlinear Schrodinger and Klein-Gordon equations'', preprint.
  
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M. Nakamura, T. Wada, ''[http://arxiv.org/abs/math.AP/0304486 Local well-posedness for the Maxwell-Schrodinger equation]'', preprint.
 
M. Nakamura, T. Wada, ''[http://arxiv.org/abs/math.AP/0304486 Local well-posedness for the Maxwell-Schrodinger equation]'', preprint.
  
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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.
 
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.
  
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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.
 
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.
  
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K. Nakanishi, ''Energy scattering for non-linear Klein-Gordon and Schrodinger equations in spatial dimensions 1 and 2'', JFA '''169''' (1999), 201-225.
 
K. Nakanishi, ''Energy scattering for non-linear Klein-Gordon and Schrodinger equations in spatial dimensions 1 and 2'', JFA '''169''' (1999), 201-225.
  
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+
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K. Nakanishi, ''Scattering Theory for Nonlinear Klein-Gordon Equation with Sobolev Critical Power'', IMRN 1999, 31-60.
 
K. Nakanishi, ''Scattering Theory for Nonlinear Klein-Gordon Equation with Sobolev Critical Power'', IMRN 1999, 31-60.
  
[[Na1999e]]
+
=====[[Na1999e]]=====
 
K. Nakanishi, ''Energy Scattering for Hartree equations'', MRL '''6''' (1999), 107-118.
 
K. Nakanishi, ''Energy Scattering for Hartree equations'', MRL '''6''' (1999), 107-118.
  
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+
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K. Nakanishi, ''Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations'', preprint.
 
K. Nakanishi, ''Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations'', preprint.
  
[[Na2001]]
+
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K. Nakanishi, ''Asymptotically free solutions for short range nonlinear Schrodinger equation'', SIAM J. Math Anal. '''32''' (2001), 1265-1271.
 
K. Nakanishi, ''Asymptotically free solutions for short range nonlinear Schrodinger equation'', SIAM J. Math Anal. '''32''' (2001), 1265-1271.
  
[[Na-p3]]
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K. Nakanishi, ''Modified wave operators for the Hartree equation with data, image, and convergence in the same space'', preprint.
 
K. Nakanishi, ''Modified wave operators for the Hartree equation with data, image, and convergence in the same space'', preprint.
  
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+
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K. Nakanishi, ''Modified wave operators for the Hartree equation with data, image, and convergence in the same space II'', preprint.
 
K. Nakanishi, ''Modified wave operators for the Hartree equation with data, image, and convergence in the same space II'', preprint.
  
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K. Nakanishi, ''Remarks on the energy scattering for nonlinear Klein-Gordon and Schrodinger equations'', preprint.
 
K. Nakanishi, ''Remarks on the energy scattering for nonlinear Klein-Gordon and Schrodinger equations'', preprint.
  
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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.
 
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.
  
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K. Nakanishi, T. Ozawa, ''Global solutions for nonlinear Schrodinger equations with arbitrarily growing nonlinearity and contracted initial data'', preprint.
 
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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.
 
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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.
 
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H. Nawa, T. Ozawa, ''Nonlinear scattering with nonlocal interaction'', Comm. Math. Phys. '''146''' (1992), 259-275.
 
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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.
  
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H. Nawa, \u201cMass concentration" phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. Funkcial. Ekvac. 35 (1992), no. 1, 1--18.
 
H. Nawa, \u201cMass concentration" phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. Funkcial. Ekvac. 35 (1992), no. 1, 1--18.
  
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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.
 
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.
  
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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.
 
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.
  
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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.
 
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H. Nawa, ''Asymptotic and limiting profiles of blowup solutions of the nonlinear Schrodinger equation with critical power'', CPAM'''52''' (1999), 193-270.
 
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H. Nawa, Y. Tsutsumi, On blow-up for the pseudo-conformally invariant nonlinear Schrödinger equation. Funkcial. Ekvac. 32 (1989), no. 3, 417--428.
 
H. Nawa, Y. Tsutsumi, On blow-up for the pseudo-conformally invariant nonlinear Schrödinger equation. Funkcial. Ekvac. 32 (1989), no. 3, 417--428.
  
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H. Nawa, Y. Tsutsumi, On blowup for the conformally invariant nonlinear Schrodinger equation II, CPAM 51 (1998), 373-383.
 
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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.
 
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.
  
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D. Oberlin, Convolution estimates for some distributions with singularities on the light cone, Duke Math J. 59 (1989), 747-757.
 
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T. Ogawa, T. Ozawa, ''Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrodinger equation'', JMAA '''155''' (1991) 531-540.
 
T. Ogawa, T. Ozawa, ''Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrodinger equation'', JMAA '''155''' (1991) 531-540.
  
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T. Ogawa, Y. Tsutsumi, ''Blowup solutions for the nonlinear Schrodinger equation with quartic potential and periodic boundary conditions'', LNM 1450 (1989), 236-261.
 
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T. Ogawa, Y. Tsutsumi, ''Blow-up of H^1 solution for the nonlinear Schrödinger equation''. J. Differential Equations '''92''' (1991), no. 2, 317-330.
 
T. Ogawa, Y. Tsutsumi, ''Blow-up of H^1 solution for the nonlinear Schrödinger equation''. J. Differential Equations '''92''' (1991), no. 2, 317-330.
  
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T. Ozawa, ''Remarks on quadratic nonlinear Schrodinger equations'', Funkcial. Ekvac. '''38''' (1995), 217-232.
 
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T. Ozawa, Y. Tsutsumi, ''Existence and smoothing effect of solutions for the Zakharov equations'', RIMS. Kyoto U. '''28''' (1992), 329-361.
 
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T. Ozawa, Y. Tsutsumi, ''The nonlinear Schrodinger limit and the initial layer of the Zakharov equations, ''Diff. Int. Eq. '''5''' (1992) 721-745.
 
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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.
 
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T. Ozawa, Y. Tsutsumi, ''Space-time estimates for null gauge forms and nonlinear Schrödinger equations''. Differential Integral Equations '''11''' (1998), 201-222
 
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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.
 
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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.
 
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.
  
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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.
 
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.
  
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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
 
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
  
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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>
 
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M. M. Tom, On a generalized Kadomtsev-Petviashvili equation, Comteporary Mathematics AMS, 200 (1996), 193-210.
 
M. M. Tom, On a generalized Kadomtsev-Petviashvili equation, Comteporary Mathematics AMS, 200 (1996), 193-210.
  
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T.P. Tsai, Asymptotic dynamics of nonlinear Schrodinger equations with many bound states, JDE 192 (2003), 225-282.
 
T.P. Tsai, Asymptotic dynamics of nonlinear Schrodinger equations with many bound states, JDE 192 (2003), 225-282.
  
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T.P. Tsai, H.T. Yau, Asymptotic dynamics of nonlinear Schrodinger equations: resonance dominated and dispersion dominated solutions, CPAM 55 (2002), 153-216.
 
T.P. Tsai, H.T. Yau, Asymptotic dynamics of nonlinear Schrodinger equations: resonance dominated and dispersion dominated solutions, CPAM 55 (2002), 153-216.
  
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T.P. Tsai, H.T. Yau, Relaxation of excited states in nonlinear Schrodinger equations, IMRN 2002 (2002) 31, 1629-1673.
 
T.P. Tsai, H.T. Yau, Relaxation of excited states in nonlinear Schrodinger equations, IMRN 2002 (2002) 31, 1629-1673.
  
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T.P. Tsai, H.T. Yau, Stable directions for excited states of nonlinear Schrodinger equations, CPDE 27 (2002), 2363-2402.
 
T.P. Tsai, H.T. Yau, Stable directions for excited states of nonlinear Schrodinger equations, CPDE 27 (2002), 2363-2402.
  
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T.P. Tsai, H. T. Yau, Classification of asymptotic profiles of nonlinear Schrodinger equations with small initial data, preprint.
 
T.P. Tsai, H. T. Yau, Classification of asymptotic profiles of nonlinear Schrodinger equations with small initial data, preprint.
  
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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.
 
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.
  
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K. Tsugawa, On the coupled system of non-linear wave equations with different propagation speeds in 1 and 2 spatial dimensions, preprint.
 
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K. Tsutaya, Local regularity of non-resonant nonlinear wave equations, Diff. Integr. Eqns 11 (1998), 279-292.
 
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Y. Tsutsumi, Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions, Nonlinear Anal. 8 (1984), 637-643.
 
Y. Tsutsumi, Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions, Nonlinear Anal. 8 (1984), 637-643.
  
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Y. Tsutsumi, Scattering problem for nonlinear Schrodinger equations, Ann. Inst. H. Poincare, Phys. Theor. 43 (1985), 321-347.
 
Y. Tsutsumi, Scattering problem for nonlinear Schrodinger equations, Ann. Inst. H. Poincare, Phys. Theor. 43 (1985), 321-347.
  
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Y. Tsutsumi, Global existence and asymptotic behavior of solutions for nonlinear Schrodinger equations, Doctoral Thesis, U. Tokyo (1985)
 
Y. Tsutsumi, Global existence and asymptotic behavior of solutions for nonlinear Schrodinger equations, Doctoral Thesis, U. Tokyo (1985)
  
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Y. Tsutsumi, L^2 solutions for nonlinear Schrodinger equations and nonlinear groups, Funk. Ekva. 30 (1987), 115-125.
 
Y. Tsutsumi, L^2 solutions for nonlinear Schrodinger equations and nonlinear groups, Funk. Ekva. 30 (1987), 115-125.
  
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Y. Tsutsumi, The Cauchy problem for the Korteweg-de Vries equation with measures as initial data, SIAM J. Math. Anal. 20 (1989), 582-588.
 
Y. Tsutsumi, The Cauchy problem for the Korteweg-de Vries equation with measures as initial data, SIAM J. Math. Anal. 20 (1989), 582-588.
  
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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
 
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
  
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Y. Tsutsumi, Global existence and asymptotic behaviour of solutions to the Maxwell-Schrodinger system in three space dimensions, CMP 151 (1993), 543-576.
 
Y. Tsutsumi, Global existence and asymptotic behaviour of solutions to the Maxwell-Schrodinger system in three space dimensions, CMP 151 (1993), 543-576.
  
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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.
 
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.
  
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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.
 
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M. Tsutsumi, I. Fukuda, On solutions to the derivative nonlinear Schrodinger equation II. Funk. Ekvac. 24 (1981), 85-94.
 
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Y. Tsutsumi, K. Yajima, The asymptotic behavior of nonlinear Schrodinger equations, Bull. AMS. 11 (1984) 186-188.
 
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+
=====[[Zg1995]]=====
 
B. Zhang, A remark on the Cauchy problem for the Korteweg-de Vries equation on a periodic domain, DIE 8 (1995), 1191-1204.
 
B. Zhang, A remark on the Cauchy problem for the Korteweg-de Vries equation on a periodic domain, DIE 8 (1995), 1191-1204.
  
[[Zg1997]]
+
=====[[Zg1997]]=====
 
B. Zhang, Unique continuation properties of the nonlinear Schrodinger equation, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 191-205.
 
B. Zhang, Unique continuation properties of the nonlinear Schrodinger equation, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 191-205.
  
[[Zx1990]]
+
=====[[Zx1990]]=====
 
X. Zhou, Inverse scattering transform for the time-dependent Schrodinger equation with application to the KP-I equations, CMP 128 (1990), 551-564.
 
X. Zhou, Inverse scattering transform for the time-dependent Schrodinger equation with application to the KP-I equations, CMP 128 (1990), 551-564.
  
[[Zh1995]]
+
=====[[Zh1995]]=====
 
Y. Zhou, Cauchy problem for semilinear wave equations in four space dimensions with small initial data, JPDE 8 (1995), 135-144.
 
Y. Zhou, Cauchy problem for semilinear wave equations in four space dimensions with small initial data, JPDE 8 (1995), 135-144.
  
[[Zh1997]]
+
=====[[Zh1997]]=====
 
Y. Zhou, Local existence with minimal regularity for nonlinear wave equations, Amer. J. Math, 119 (1997), 671-703.
 
Y. Zhou, Local existence with minimal regularity for nonlinear wave equations, Amer. J. Math, 119 (1997), 671-703.
  
[[Zh1997b]]
+
=====[[Zh1997b]]=====
 
Y. Zhou, Uniqueness of weak solution of the KdV equation, IMRN 6 (1997), 271-283.
 
Y. Zhou, Uniqueness of weak solution of the KdV equation, IMRN 6 (1997), 271-283.
  
[[Zh1999]]
+
=====[[Zh1999]]=====
 
Y. Zhou, Uniqueness of weak solutions of 1+1 dimensional wave maps, Math. Z. 232 (1999), 707-719.
 
Y. Zhou, Uniqueness of weak solutions of 1+1 dimensional wave maps, Math. Z. 232 (1999), 707-719.
  
[[Zh2000]]
+
=====[[Zh2000]]=====
 
Y. Zhou, Uniqueness of generalized solutions to nonlinear wave equations, AJM 122 (2000), 939-965.
 
Y. Zhou, Uniqueness of generalized solutions to nonlinear wave equations, AJM 122 (2000), 939-965.
  
[[ZhGouTan1991]]
+
=====[[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.
 
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]]
+
=====[[Zi1997]]=====
 
L. Zielinski, Asymptotic completeness for multiparticle dispersive charge transfer models, JFA 150 (1997), 453-470.
 
L. Zielinski, Asymptotic completeness for multiparticle dispersive charge transfer models, JFA 150 (1997), 453-470.
  
 
[[Category:Bibliography]]
 
[[Category:Bibliography]]

Latest revision as of 01:19, 18 July 2009


Important note

This bibliography was ported over from the previous incarnation of these pages. It should now be considered obsolete. Instead, we are now giving each reference its own page.

The naming system for these articles was somewhat implicit and ad hoc; we are currently forming more explicit standards for this.


References

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H. Added, S. Added, Equations of Langmuir turbulence and non-linear Schrodinger equation: Smoothness and approximations, JFA 79 (1988), 183-210.

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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.

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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.

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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.

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S. Alinhac, Rank 2 singular solutions for quasilinear wave equations, IMRN 18 (2000), 955-984.

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S. Alinhac, The null condition for quasilinear wave equations in two space dimensions I, Invent. Math. 145 (2001), 597-618.

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S. Alinhac, The null condition for quasilinear wave equations in two space dimensions II, AJM 123 (2001), 1071-1101.

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S. Alinhac, An example of blowup at infinity for a quasilinear wave equation, Asterisque 284 (2003), 1-91.

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S. Anco, J. Isenberg, Global existence for wave maps with torsion, CPDE 25 (2000), 1669-1702.

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L. Andersson, V. Moncrief, Elliptic-Hyperbolic systems and the Einstein equations, Ann. Henri Poincaré 4 (2003), 1-34

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C. Antonini, Lower bounds for the L^2 minimal periodic blowup solutions of critical nonlinear Schrodinger equation, DIE 15 (2002), 749-768.

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C. Antonini, F. Merle, Optimal bounds on positive blowup solutions for a semilinear wave equation, IMRN 21 (2001), 1143-1167.

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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.

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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

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J. Baez, I. Sega, Z. Zhou, The global Goursat problem and scattering for nonlinear wave equations, J. Funct. Anal. 93 (1990), 239-269.

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H. Bahouri, J-Y. Chemin, Équations d'ondes quasilinéaires et les inegalites de Strichartz, Amer. J. Math.121 (1999), 1337-1377.

BaCh1999b

H. Bahouri, J-Y. Chemin, Équations d'ondes quasilinéaires et effet dispersif, IMRN 21 (1999), 1141-1178.

BaCh2002

H. Bahouri, J-Y. Chemin, Quasilinear Wave equations and Microlocal Analysis, ICM 2002, Vol III, 141-154.

BaCh 2003

H. Bahouri, J-Y. Chemin, Microlocal analysis, bilinear estimates, and cubic quasilinear wave equation, Asterique (2003), 93-141

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.

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.

Ban2004a

V. Banica, On the nonlinear Schrödinger dynamics on S^2, J. Math. Pures Appl. (9)83 (2004), 77-98.

Ban2004b

V. Banica, Dispersion and Strichartz inequalities for Schrödinger equations with singular coefficients., SIAM J. Math. Anal. 35(2004), 868-883.

Ban2004c

V. Banica, Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain. ,Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 3(2004), 139-170.

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 Equations21 (1996), 79-124.

BecMauSb-p

P. Bechouce, N. Mauser, S. Selberg, Nonrelativistic limit of Klein-Gordon-Maxwell to Schrodinger Poisson, preprint

BecMauSb-p2

P. Bechouce, N. Mauser, S. Selberg, 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.

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T. Benjamin, Internal waves of permanent form in fluids of great depth, J. Fluid Mech. 29 (1967), 559-562.

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T. Benjamin, The stability of solitary waves, Proc. R. Soc. Lond. A. 328 (1972), 153-183.

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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.

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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.

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D.J. Benney, A.C. Newell, The propagation of nonlinear wave envelopes, J. Math. and Phys. 46 (1967), 133-139.

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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.

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B.K. Berger, P. T. Chrusciel, V. Moncrief, On "asymptotically flat" spacetimes with G_2 invariant Cauchy surfaces, Ann. Physics 237 (1995), 322-354.

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H. Biagioni, F. Linares, Ill-posedness for the Derivative Schrodinger and Generalized Benjamin-Ono equations, preprint.

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B. Birnir, G. Ponce, L. Vega, On the ill-posedness for the initial value problem for the modified Korteweg-de Vries equation, preprint.

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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.

Biz2000

P. Bizon, Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere. Comm. Math. Phys. 215 (2000), 45-56.

Biz-p

P. Bizon, Formation of singularities in Yang-Mills equations, preprint

BizCjTb2001

P. Bizon, T. Chmaj, Z. Tabor, Formation of singularities for equivariant 2+1 dimensional wave maps into two-sphere, Nonlinearity 14 (2001), no. 5, 1041-1053.

BizOvSi-p

P. Bizon, Y. Ovchinnikov, I. Sigal, Collapse of an Instanton, preprint.

BizTb2001

P. Bizon, Z. Tabor, On blowup for Yang-Mills fields, Phys. Rev. D (3) 64 (2001), 121701.

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P. Blue, A. Soffer, Semilinear wave equations on the Schwarzschild manifold I.Local decay estimates, Adv. Diff Eq. 8 (2003), 595-614.

Bn1975

J. Bona, On the stability theory of solitary waves, Proc. R. Soc. Lond. A. 344 (1975), 363-374.

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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.

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J. Bona, Y. Liu, Instability of solitary-wave solutions of the Kadomtsev-Petviashvili equation in three dimensions, ADE 7 (2002), 1-33.

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.

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.

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J. Bona, F. B. Weissler, Similarity solutions of the generalized Korteweg-de Vries equations, preprint.

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A. de Bouard, Analytic solutions to nonelliptic nonlinear Schrodinger equations, JDE 104 (1993), 196-213.

BdDbTs1999

A. de Bouard, A. Debussche, Y. Tsutsumi, 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.

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F. Bouchut, F. Golse, C. Pallard, On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss's theorem revisited, preprint.

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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, 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, Geom. Funct. Anal. 3 (1993) 209-262.

Bo1993c

J. Bourgain, On the Cauchy problem for the Kadomtsev-Petviashvili equation, Geom. Funct. Anal. 3 (1993) 315-341.

Bo1993d

J. Bourgain, Exponential sums and nonlinear Schrodinger equations, 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.

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J. Bourgain, Periodic nonlinear Schrodinger equations and invariant measures, CMP 166 (1995), 1-26.

Bo1996

J. Bourgain, On well-posedness of the Zakharov system, 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.

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J. Bourgain, On the compactness of support of solutions of dispersive equations, Int. Math. Research Notices 9 (1997), 437-447.

Bo1998

J. Bourgain, Refinements of Strichartz' inequality and applications to 2D-NLS with critical non-linearity, Int. Math. Research Notices, 5 (1998), 253-283.

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J. Bourgain, Scattering in the energy space and below for 3D NLS, J. Anal. Math. 75 (1998), 267-297.


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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.

Bo-p2

J. Bourgain, A remark on normal forms and the I-method for periodic NLS, preprint.

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.

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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.

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.

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.

Bou2001

N. Bournaveas, Low regularity solutions of the Dirac Klein-Gordon equations in two space dimensions. Comm. Partial Differential Equations 26 (2001), 1345-1366.

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A. Boutet de Monvel, A. Fokas, The mKdV equation on a half-line, preprint.

BdmShp-p

A. Boutet de Monvel, D. Shepelsky, The mKdV equation on an interval, preprint.

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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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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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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.

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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.

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.

Bu-p

N. Burq, Global Strichartz estimates for nontrapping geometries: A remark about an article by H. Smith and C. Sogge, preprint.

Bu-p2

N. Burq, Smoothing effect for Schrodinger boundary value problems, preprint.

Bu-p3

N. Burq, Estimations de Strichartz pour des perturbations a longe portee de l\u2019operateur de Schrodinger, preprint.

BuGdTz-p

N. Burq, P. Gerard, N. Tzvetkov, Two singular dynamics of the nonlinear Schrodinger equation on a plane domain, preprint.

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.

BuGdTz-p4

N. Burq, P. Gerard, N. Tzvetkov, On nonlinear Schrodinger equations in exterior domains, 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.

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.

BuGdTz-p7

N. Burq, P. Gerard, N. Tzvetkov, Bilinear Eigenfunction Estimates and the Nonlinear Schroedinger Equation on Surfaces, preprint.

BuPlStaTv-p

N. Burq, F. Planchon, J. Stalker, A. Shadi Tahvidar-Zadeh, Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential, preprint.

BuPlStaTv-p2

N. Burq, F. Planchon, J. Stalker, A. Shadi Tahvidar-Zadeh, Strichartz estimates for the Wave and Schrodinger Equations with potentials of critical decay, preprint.

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V. Buslaev, G. Perelman, Scattering for the nonlinear Schrodinger equations: states close to a solitary wave, St. Petersburg Math J. 4 (1993), 1111-1142.

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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.

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CafFri1986

L.A. Caffarelli, A. Friedman, the blowup boundary for nonlinearwave equations, TAMS 297 (1986), 223-241.

Cal-p

S. Calogero, Global small solutions of the Vlasov-Maxwell system in absence of incoming radiation., preprint

Car2001

R. Carles, Geometric optics and long-range scattering for one-dimensional nonlinear Schrodinger equations, Comm. Math. Phys. 220 (2001), 41-67.

Car2002

R. Carles, Critical nonlinear Schrodinger equations with and without harmonic potential, Math. Mod. Meth. Appl Sci. 12 (2002), 1513-1523..

Car2002b

R. Carles, Remarks on nonlinear Schrodinger equations with harmonic potential, Ann. Henri Poincare 3 (2002), 757-772.

Car2002c

R. Carles, Critical nonlinear Schrödinger equations with and without harmonic potential, Math. Mod. Meth. Appl. Sci. (M3AS) 12 (2002), 1513-1523

Car2003

R. Carles, Annales IHP, Analyse nonlineaire, 20 (2003) 501-542.

Car-p

R. Carles, Nonlinear Schrodinger equations with repulsive harmonic potential and applications, preprint.

CarFerGal-p

R. Carles, C. Fermanian, I. Gallagher, On the role of quadratic oscillations in nonlinear Schrodinger equations, preprint.

CarKer-p

R. Carles, S. Keraani, On the role of quadratic oscillations in nonlinear Schroedinger equations II. The $L^2$-critical case, preprint.

CarNky-p

R. Carles, Y. Nakamura, Nonlinear Schrodinger equations with Stark potential, preprint.

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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.

GiOz1993

J. Ginibre, T. Ozawa, Long range scattering for nonlinear Schrodinger and Hartree equations in space dimension n>=2, CMP 151 (1993) 619-645.

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.

GiTs1989

J. Ginibre, Y. Tsutsumi, Uniqueness for the generalized Korteweg-de Vries equations, SIAM J. Math. Anal. 20 (1989), 1388-1425.

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.

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.

GiVl1979

J. Ginibre, G. Velo, On a class of nonlinear