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On the Modes of Decay for the Wave Equation in the Exterior of a Reflecting Body

✍ Scribed by Cathleen Synge Morawetz

Book ID: 125203557
Year: 1972
Weight: 623 KB
Volume: 72
Category: Article
ISSN: 0035-8975
DOI: 10.2307/20488719

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## Abstract We study a decay property of solutions for the wave equation with a localized dissipation and a boundary dissipation in an exterior domain Ω with the boundary ∂Ω = Γ~0~ ∪ Γ~1~, Γ~0~ ∩ Γ~1~ = ∅︁. We impose the homogeneous Dirichlet condition on Γ~0~ and a dissipative Neumann condition on