Existence and nonexistence of global solutions of some system of semilinear wave equations

被引：117

作者：

Li, MR ^{[1
]}

Tsai, LY ^{[1
]}

机构：

[1] Natl Chengchi Univ, Dept Math Sci, Taipei 116, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 08期

关键词：

global solutions; blow-up; lifespan; wave equations; KLEIN-GORDON EQUATIONS; BLOW-UP; DIMENSIONS;

D O I：

10.1016/S0362-546X(03)00192-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An initial boundary value problem for systems of semilinear wave equations in a bounded domain is considered. We prove the global existence, uniqueness and blow-up of solutions by energy methods and give some estimates for the lifespan of solutions. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1397 / 1415

页数：19

共 24 条

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