A Liouville theorem for the critical generalized Korteweg-de Vries equation

被引：123

作者：

Martel, Y

Merle, F

机构：

[1] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France

[2] Inst Univ France, Paris, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2000年 / 79卷 / 04期

关键词：

D O I：

10.1016/S0021-7824(00)00159-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove in this paper a rigidity theorem on the flow of the critical generalized Kortewegde Vries equation close to a soliton up to scaling and translation. To prove this result we introduce new tools to understand nonlinear phenomenon. This will give a result of asymptotic completeness. (C) 2000 Editions scientifiques et medicales Elsevier SAS.

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页码：339 / 425

页数：87

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