Global solution for a generalized Boussinesq equation

被引：37

作者：

Wang, Shubin ^{[1
]}

Xue, Hongxia ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Boussinesq equation; Cauchy problem; stable set and unstable set; existence of global solution; nonexistence;

D O I：

10.1016/j.amc.2008.06.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the existence and uniqueness of the solution to the Cauchy problem for a class of Boussinesq equation, proves the global existence and finite time blowup of the solution to the problem by the potential well method. (C) 2008 Published by Elsevier Inc.

引用

页码：130 / 136

页数：7

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