Instability of the standing waves for nonlinear Klein-Gordon equations with damping term

被引：2

作者：

Huang, Wenyi ^{[1
]}

Zhang, Jian ^{[2
]}

机构：

[1] Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China

[2] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 213卷 / 02期

关键词：

Klein-Gordon equations; Damping terms; Variational argument; Standing waves; Instability; GLOBAL SOLUTIONS; NONEXISTENCE;

D O I：

10.1016/j.amc.2009.03.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the nonlinear Klein-Gordon equations with damping term. In terms of the variational argument, the sharp conditions for blowing up and global existence are derived out by applying the potential well argument and using the concavity method. Further, the instability of the standing waves is shown. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：522 / 528

页数：7

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