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.
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页码：479 / 496
页数：18
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