Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain

被引：21

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 / 68卷 / 01期

关键词：

semilinear wave equation; strong damping; exterior domain; weak solution; global existence; energy decay;

D O I：

10.1016/j.na.2006.10.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two-dimensional mixed problems in an exterior domain for a semilinear strongly damped wave equation with a power-type nonlineatity vertical bar u vertical bar(p). If the initial data have a small weighted energy, we shall derive a global existence and energy decay results in the case when the power p of the nonlinear term satisfies p > 6. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：154 / 169

页数：16

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