Global existence of solutions for semilinear damped wave equation in 2-D exterior domain

被引：18

作者：

Ikehata, R ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 200卷 / 01期

关键词：

semilinear wave equation; dissipation; mixed problem; 2-D exterior domain; radial symmetry; global solution;

D O I：

10.1016/j.jde.2003.08.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a mixed problem of a damped wave equation u(u) - Deltau + u(t), = \u\(p) in the two dimensional exterior domain case. Small global in time solutions can be coonstructed in the case when the power p on the nonlinear term \u\(p) satisfies p* = 2 < p < +infinity. For this purpose we shall deal with a radially symmetric solution in the exterior domain. A new device developed in Ikehata-Matsuyama (Sci. Math. Japon. 55 (2002) 33) plays all effective role. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：53 / 68

页数：16

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