Energy decay to the Cauchy problem for a generalised nonlinear Klein-Gordon equation with a nonlinear dissipative term

被引：2

作者：

Nakao, Mitsuhiro ^{[1
]}

机构：

[1] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2011年 / 3卷 / 03期

关键词：

energy decay; wave equation; nonlinear dissipation;

D O I：

10.1504/IJDSDE.2011.041880

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a precise decay rate of energy of solutions to the Cauchy problem for the wave equation with a nonlinear dissipative term and an absorbing term. Due to the absorbing term the equation is regarded as a generalised Klein-Gordon equation with a nonlinear dissipative term. This observation plays an important role in the proof.

引用

页码：349 / 362

页数：14

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