Cauchy problem of the generalized double dispersion equation

被引：84

作者：

Wang, SB ^{[1
]}

Chen, GW ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 01期

基金：

中国国家自然科学基金;

关键词：

double dispersion equation; Cauchy problem; existence of global solution; blow-up of solution;

D O I：

10.1016/j.na.2005.06.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence and the uniqueness of the global solution for the Cauchy problem of the generalized double dispersion equation are proved. The blow-up of the solution for the Cauchy problem of the generalized double dispersion equation is discussed by the concavity method under some conditions. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：159 / 173

页数：15

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