Local energy decay for a class of hyperbolic equations with constant coefficients near infinity | Zendy

Aikawa Shintaro | Zendy; Ikehata Ryo | Zendy

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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)

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