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.
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页码：53 / 68
页数：16
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