Local Energy Decay for Linear Wave Equations with Localized Dissipation

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Author(s)

Abstract

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 [9], Nakao [12], Ikehata [4] and Ikehata-Nishihara [6].

Journal

  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 48(3), 351-366, 2005

    Division of Functional Equations, The Mathematical Society of Japan

Cited by:  1

Codes

  • NII Article ID (NAID)
    130000141320
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    0532-8721
  • Data Source
    CJPref  J-STAGE 
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