On the Cauchy problem for a generalized Boussinesq equation

被引：34

作者：

Lin, Qun ^{[1
]}

Wu, Yong Hong ^{[1
]}

Loxton, Ryan ^{[1
]}

机构：

[1] Curtin Univ Technol, Dept Math & Stat, Perth, WA, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 353卷 / 01期

关键词：

Generalized Boussinesq equation; Cauchy problem; Ground state; Global existence; Solution blow-up; GLOBAL EXISTENCE; SOLITARY WAVES; BLOW-UP; INSTABILITY; STATE;

D O I：

10.1016/j.jmaa.2008.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive the sufficient conditions for the blow-up of the solution to the problem. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：186 / 195

页数：10

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