Global solutions and finite time blow up for some system of nonlinear wave equations

被引：7

作者：

Xiao, Wei ^{[1
]}

Ping, Yan ^{[2
]}

机构：

[1] Changan Univ, Sch Sci, Xian 710064, Peoples R China

[2] Anhui Agr Univ, Sch Sci, Hefei 230036, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 08期

关键词：

Global solutions; Blow up; Nonlinear wave equations; Initial boundary value; LIFE-SPAN; EXISTENCE; NONEXISTENCE;

D O I：

10.1016/j.amc.2012.10.005

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 semi-linear wave equations in a bounded domain is considered. The global existence, uniqueness and blow-up of solutions by energy methods and give some estimates for the lifespan of solutions are proved. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：3754 / 3768

页数：15

共 24 条

[1]

[Anonymous], 1965, Proc. Symp. Appl. Math.

[2]

[Anonymous], 1970, NONLINEAR WAVE EQUAT

[3] Finite-time blow-up of solutions to semilinear wave equations [J].