论文信息 - Local energy decay for linear wave equations with non‐compactly supported initial data

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

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.

R. Ikehata

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