POINTWISE ESTIMATES FOR SOLUTIONS TO A SYSTEM OF NONLINEAR DAMPED WAVE EQUATIONS

被引：0

作者：

Wang, Wenjun ^{[1
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Damped wave system; global solution; classical solution; pointwise estimate; Green function; CAUCHY-PROBLEM; GLOBAL ASYMPTOTICS; EXISTENCE; DECAY; BEHAVIOR;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the existence of global solutions and pointwise estimates for the Cauchy problem of a nonlinear damped wave equation. We obtain the existence by using the approach introduced by Li and Chen in [7] and some estimates of the solution. The proofs of the estimates are based on a detailed analysis of the Green function of the linear damped wave equations. Also, we show the L-p convergence rate of the solution.

引用

页数：16

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