Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms

被引：24

作者：

Department of Mathematics, Southeast University, Nanjing 210018, China ^{[1
]}

不详 ^{[2
]}

机构：

[1] Department of Mathematics, Southeast University

[2] Department of Mathematics, Xuzhou Normal University

来源：

Nonlinear Anal Theory Methods Appl | 2006年 / 1卷 / 69-91期

基金：

中国国家自然科学基金;

关键词：

Damping and source terms; Existence and uniqueness; Finite time blow-up; Hyperbolic systems; Lifespan;

D O I：

10.1016/j.na.2005.06.009

中图分类号：

学科分类号：

摘要：

This paper deals with the global existence and blow-up of solutions to some nonlinear hyperbolic systems with damping and source terms in a bounded domain. By using the potential well method, we obtain the global existence. Moreover, for the problem with linear damping terms, blow-up of solutions is considered and some estimates for the lifespan of solutions are given. © 2005 Elsevier Ltd. All rights reserved.

引用

页码：69 / 91

页数：22

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