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.
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页码：349 / 362
页数：14
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