Local Solutions in Sobolev Spaces with Negative Indices for the Good Boussinesq Equation

被引：78

作者：

Farah, Luiz Gustavo ^{[1
]}

机构：

[1] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 34卷 / 01期

关键词：

Fourier restriction norm; Good Boussinesq equation; Ill-posedness; Local well-posedness; Sobolev spaces; ILL-POSEDNESS; GLOBAL EXISTENCE; KDV EQUATION; STABILITY; WAVES;

D O I：

10.1080/03605300802682283

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the local well-posedness of the initial-value problem for the nonlinear good Boussinesq equation with data in Sobolev spaces Hs for negative indices of s.

引用

页码：52 / 73

页数：22

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