Yukawa-type system: Difference between revisions
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<math>i u_t + \Delta u = -A u</math> | |||
<math>Box A = m2 A + |u|2</math> | |||
for <math>d=3</math>. A represents the meson field, while u is the nucleon field. | |||
Global well posedness in the energy class <math>(H^1, H^1 x L^2)</math> is in [Bch1984], [BlChd1978], [FuTs1978], [HaWl1987]. Modified wave operators were constructed for large energy data at infinity in [GiVl-p2]. | |||
With positive mass m=1, global well-posedness can be pushed to <math>(H^s, H^m x H^{m-1})</math> whenever <math>1 \geq s,m > 7/10</math> and <math>s+m > 3/2 </math>[Pe-p2]. | |||
With positive mass m=1, global well-posedness can be pushed to ( | |||
[[Category:Equations]] | [[Category:Equations]] | ||
Revision as of 14:47, 27 July 2006
for . A represents the meson field, while u is the nucleon field.
Global well posedness in the energy class is in [Bch1984], [BlChd1978], [FuTs1978], [HaWl1987]. Modified wave operators were constructed for large energy data at infinity in [GiVl-p2].
With positive mass m=1, global well-posedness can be pushed to whenever and [Pe-p2].
