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Decay of solutions of the wave equation and spectral properties of the Laplace operator in expanding domains

✍ Scribed by V. A. Filinovskii

Publisher: SP MAIK Nauka/Interperiodica
Year: 1996
Tongue: English
Weight: 196 KB
Volume: 63
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf02316158

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## Abstract This paper is concerned with some uniform energy decay estimates of solutions to the linear wave equations with strong dissipation in the exterior domain case. We shall derive the decay rate such as $(1+t)E(t)\le C$\nopagenumbers\end for some kinds of weighted initial data, where __E__(