MR2197534 Ikehata, Ryo Ryo IKEHATA Local Energy Decay for Linear Wave Equations with Localized Dissipation Funkcialaj Ekvacioj. Serio Internacia 48 2005 351--366 http://fe.math.kobe-u.ac.jp/FE/FullPapers/48-3/48_351.pdf http://www.ams.org/mathscinet-getitem?mr=MR2197534 A local energy decay result can be derived for a linear wave equation in an exterior domain $\Omega\subset R^N$, which has a localized dissipation being effective only near a part of the boundary $\partial\Omega$. In this case we do not assume any compactness of the support on the initial data differently from the usual well-known case. Our result generalizes some previous results due to Morawetz [9], Nakao [12], Ikehata [4] and Ikehata-Nishihara [6]. Linear wave equation, Localized dissipation, Exterior mixed problem, Non-compactly supported initial data, Local energy decay. 35L05, 35B40. 48-351 2005 Local Energy Decay for Linear Wave Equations with Localized Dissipation IKEHATA, Ryo Ryo IKEHATA
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