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Pré-Publication, Document De Travail Année : 2006

Remarks on the mass constraint for KP type equations

Résumé

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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Dates et versions

hal-00020647 , version 1 (13-03-2006)

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Luc Molinet, Jean-Claude Saut, Nikolay Tzvetkov. Remarks on the mass constraint for KP type equations. 2006. ⟨hal-00020647⟩
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