Global existence of solutions for 2-D semilinear wave equations with dissipation localized near infinity in an exterior domain

被引：2

作者：

Ikehata, R ^{[1
]}

机构：

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2006年 / 29卷 / 04期

关键词：

semilinear damped wave equation; localized dissipation; 2-D exterior mixed problem; noncompactly supported initial data; small energy; critical exponent; global existence;

D O I：

10.1002/mma.698

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall derive some global existence results to semilinear wave equations with a damping coefficient localized near infinity for very special initial data in H-0(1) x L-2. This problem is dealt with in the two-dimensional exterior domain with a star-shaped complement. In our result, a power p on the non-linear term vertical bar u vertical bar(P) is strictly larger than the two-dimensional Fujita-exponent. Copyright (c) 2005 John Wiley & Sons, Ltd.

引用

页码：479 / 496

页数：18

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