Global well-posedness for the KP-I equation on the background of a non localized solution

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

Document type :

Compte-rendu et recension critique d'ouvrage

Title :

Global well-posedness for the KP-I equation on the background of a non localized solution

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]

Journal title :

Communications in Mathematical Physics

Pages :

775–810

Publisher :

Springer Verlag

Publication date :

2007

ISSN :

0010-3616

English keyword(s) :

Global existence
Kadomtsev-Petviashvili equation
Non localized solution

HAL domain(s) :

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

English abstract : [en]

We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not decaying in all directions) traveling wave ...
Show more >We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not decaying in all directions) traveling wave solution (e.g. the KdV line solitary wave or the Zaitsev solitary waves which are localized in $x$ and $y$ periodic or conversely).Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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