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

✍ Scribed by Ryo Ikehata

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
101 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

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 © 2004 John Wiley & Sons, Ltd.

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