Yukawa-type system: Difference between revisions
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<math>i | <math>i \partial_t^{}u + \Delta u = -A u</math> | ||
<math>Box A = | |||
<math>Box A = m^2 A + |u|2</math> | |||
for <math>d=3</math>. A represents the meson field, while u is the nucleon field. | for <math>d=3</math>. A represents the meson field, while u is the nucleon field. |
Revision as of 14:48, 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].