Yukawa-type system: Difference between revisions
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<math>\Box A = m^2_{} A + |u|2</math> | <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>. <math>A</math> represents the meson field, while <math>u</math> 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]. | 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]. |
Revision as of 14:49, 27 July 2006
for . represents the meson field, while 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].