Remarks on the mass constraint for KP type equations

Details Remarks on the mass constraint for KP type equations Remarks on the mass constraint for KP type equations

2006-03-13

arxiv.org/abs/math/0603303v1

Mathematics

Analysis of PDEs

Scientific paper

For a rather general class of equations of Kadomtsev-Petviashvili (KP) type,
we prove that the zero-mass (in $x$) constraint is satisfied at any non zero
time even if it is not satisfied at initial time zero. Our results are based on
a precise analysis of the fundamental solution of the linear part and its anti
$x$-derivative.

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