Yukawa-type system
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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].