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Local energy decay for a class of hyperbolic equations with constant coefficients near infinity
Author(s) -
Aikawa Shintaro,
Ikehata Ryo
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710009
Subject(s) - mathematics , infinity , mathematical analysis , constant (computer programming) , complement (music) , domain (mathematical analysis) , compact space , energy (signal processing) , class (philosophy) , hyperbolic partial differential equation , anisotropy , partial differential equation , physics , statistics , quantum mechanics , artificial intelligence , complementation , computer science , phenotype , gene , programming language , biochemistry , chemistry
A uniform local energy decay result is derived to a compactly perturbed hyperbolic equation with spatial vari¬able coefficients. We shall deal with this equation in an N ‐dimensional exterior domain with a star‐shaped complement. Our advantage is that we do not assume any compactness of the support on the initial data and the equation includes anisotropic variable coefficients { a i ( x ): i = 1, 2, …, N }, which are not necessarily equal to each other (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)