Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order

被引：23

作者：

Wang, Yu-Zhu ^{[1
,2
]}

Wang, Yin-Xia ^{[1
]}

机构：

[1] N China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 12期

关键词：

Nonlinear wave equation of higher order; Cauchy problem; Existence of global solutions; GENERALIZED BOUSSINESQ EQUATION; HYPERBOLIC EQUATIONS; INSTABILITY; DYNAMICS;

D O I：

10.1016/j.na.2010.02.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and uniqueness of the solution to the Cauchy problem for a class of nonlinear wave equations of higher order and prove the existence and nonexistence of global solutions to this problem by a potential well method. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4500 / 4507

页数：8

共 13 条

[1] The dynamics of a nonlinear wave equation [J].