Global existence and asymptotic stability for coupled nonlinear Klein-Gordon equations with nonlinear damping terms

被引：6

作者：

Ye, Yaojun ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math & Informat Sci, Hangzhou 310023, Zhejiang, Peoples R China

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2013年 / 28卷 / 02期

基金：

中国国家自然科学基金;

关键词：

coupled Klein-Gordon equations; initial-boundary value problem; global solutions; asymptotic stability; SEMILINEAR WAVE-EQUATIONS; HYPERBOLIC EQUATIONS; NONEXISTENCE; INSTABILITY; SYSTEM;

D O I：

10.1080/14689367.2013.792330

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study coupled nonlinear Klein-Gordon equations with nonlinear damping and source terms, in a bounded domain with the initial and Dirichlet boundary conditions. The existence of global solutions is discussed by using the potential well method, and the asymptotic stability is also given by applying a lemma due to V. Komornik [Exact controllability and stabilization. The multiplier method. Paris: RAM: Research in Applied Mathematics, Masson-John Wiley; 1994].

引用

页码：287 / 298

页数：12

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