Some results on the asymptotic behavior for hyperbolic problems in cylindrical domains becoming unbounded

被引：11

作者：

Guesmia, Senoussi ^{[1
,2
]}

机构：

[1] Univ Libre Bruxelles, Serv Metrol Nucl, B-1050 Brussels, Belgium

[2] Lab Math Informat & Applicat, F-68093 Mulhouse, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 341卷 / 02期

关键词：

hyperbolic problems; asymptotic behavior; cylindrical domains;

D O I：

10.1016/j.jmaa.2007.11.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study here the asymptotic behavior of the solution of a hyperbolic problem defined on a cylindrical domain [0, T] x (-l, l)(p) x omega subset of [0, T] x R-n when l -> infinity. We show that, under very general assumptions, the solution of this problem converges faster than any power of 1/l towards the solution of another hyperbolic problem, defined on [0, T] x omega, in any bounded subdomain. We give both necessary and sufficient conditions for this convergence to occur. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1190 / 1212

页数：23

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