Local energy decay for linear wave equations with non-compactly supported initial data

被引：11

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 | 2004年 / 27卷 / 16期

关键词：

wave equation; exterior mixed problem; non-compactly supported initial data; local energy decay;

D O I：

10.1002/mma.529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A local energy decay problem is studied to a typical linear wave equation in an exterior domain. For this purpose, we do not assume any compactness of the support on the initial data. This generalizes a previous famous result due to Morawetz (Comm. Pure Appl. Math. 1961; 14:561-568). In order to prove local energy decay we mainly apply two types of new ideas due to Ikehata-Matsuyama (Sci. Math. Japon. 2002; 55:33-42) and Todorova-Yordanov (J. Differential Equations 2001; 174:464). Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：1881 / 1892

页数：12

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