Remarks on the mass constraint for KP type equations

Molinet, Luc; Saut, Jean-Claude; Tzvetkov, Nikolay

Document type :

Pré-publication ou Document de travail

Title :

Remarks on the mass constraint for KP type equations

Author(s) :

Molinet, Luc [Auteur]
Laboratoire Analyse, Géométrie et Applications [LAGA]
Saut, Jean-Claude [Auteur]
Laboratoire de Mathématiques d'Orsay [LMO]
Tzvetkov, Nikolay [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

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