Local Energy Decay for Linear Wave Equations with Localized Dissipation
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A local energy decay result can be derived for a linear wave equation in an exterior domain Ω ⊂ <b><i>R</i></b><sup><i>N</i></sup>, which has a localized dissipation being effective only near a part of the boundary ∂Ω. 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 , Nakao , Ikehata  and Ikehata-Nishihara .
- Funkcialaj Ekvacioj
Funkcialaj Ekvacioj 48(3), 351-366, 2005
Division of Functional Equations, The Mathematical Society of Japan