PERSISTENCE PROPERTY IN WEIGHTED SOBOLEV SPACES FOR NONLINEAR DISPERSIVE EQUATIONS

被引：3

作者：

Carvajal, X. ^{[1
]}

Neves, W. ^{[1
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, Ctr Tecnol, Ilha Fundao, Av Athos da Silveira Ramos 149,Cidade Univ, BR-21941972 Rio de Janeiro, RJ, Brazil

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2015年 / 73卷 / 03期

关键词：

Nonlinear dispersive equations; nonlinear Schrodinger equation; generalized Korteweg-de Vries equation; initial value problem; weighted Sobolev spaces;

D O I：

10.1090/qam/1387

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the Abstract Interpolation Lemma proved by the authors in Carvajal and Neves (2010). Using this extension, we show in a more general context the persistence property for the generalized Korteweg-de Vries equation in the weighted Sobolev space with low regularity in the weight. The method used can be applied for other nonlinear dispersive models, for instance the multidimensional nonlinear Schrodinger equation.

引用

页码：493 / 510

页数：18

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