Total energy decay for semilinear wave equations with a critical potential type of damping

被引：15

作者：

Ikehata, Ryo ^{[1
]}

Inoue, Yu-ki ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 04期

基金：

日本学术振兴会;

关键词：

semilinear wave equation; unbounded domain; total energy decay; the finite propagation speed property;

D O I：

10.1016/j.na.2007.06.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for semilinear wave equations with a critical potential type of damping coefficient (1 + vertical bar x vertical bar)(-1) in R-N and a power nonlinearity vertical bar u vertical bar p(-1) u. We shall derive total energy and L-p decay estimates in the case when the initial data have a compact support. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1396 / 1401

页数：6

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