Remarks on the mass constraint for KP type equations
Luc Molinet, Jean-Claude Saut, Nikolay Tzvetkov
Abstract
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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