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February 2007 Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity
Ryo IKEHATA, Genta SOBUKAWA
Hokkaido Math. J. 36(1): 53-71 (February 2007). DOI: 10.14492/hokmj/1285766662

Abstract

A uniform local energy decay property is discussed to a linear hyperbolic equation with spatial variable coefficients. We shall deal with this equation in an exterior domain with a star-shaped complement. Our advantage is that we assume algebraic order weight restrictions as $\vert x\vert \to +\infty$ on the initial data in order to derive the uniform local energy decay, and its proof is quite simple.

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Ryo IKEHATA. Genta SOBUKAWA. "Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity." Hokkaido Math. J. 36 (1) 53 - 71, February 2007. https://doi.org/10.14492/hokmj/1285766662

Information

Published: February 2007
First available in Project Euclid: 29 September 2010

zbMATH: 1135.35018
MathSciNet: MR2309821
Digital Object Identifier: 10.14492/hokmj/1285766662

Subjects:
Primary: 35L05
Secondary: 35B40

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

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Vol.36 • No. 1 • February 2007
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