Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation

Mitsuhiro Nakao

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Abstract

We derive an algebraic decay rate for the local energy Eloc(t) of the solutions to the initial-boundary value problem of the wave equation with a localized dissipation in an exterior domain Ω. The dissipative term a(x) ut is assumed to be effective only on a neighbourhood of a part of the boundary Γ(x0) = {x∈∂Ω

Original languageEnglish
Pages (from-to)388-406
Number of pages19
JournalJournal of Differential Equations
Volume148
Issue number2
DOIs
Publication statusPublished - 1998
Externally publishedYes

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ASJC Scopus subject areas

  • Analysis

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