2003 Energy decay for the wave equation in exterior domains with some half-linear dissipation
Il Hyo Jung, Mitsuhiro Nakao
Differential Integral Equations 16(8): 927-948 (2003). DOI: 10.57262/die/1356060576

Abstract

We study the decay estimates of the energy for the wave equation in an exterior domain with a localized dissipation. The dissipative term consists of the following two parts: The first part may be nonlinear and localized in a suitable bounded area, while the second part is linear in the outside of a big ball. So we may call such a dissipation ``half-linear" dissipation. We note that no geometrical condition is imposed on the boundary. As an application of the decay estimates we prove some global existence theorems for the wave equation with a nonlinear source term.

Citation

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Il Hyo Jung. Mitsuhiro Nakao. "Energy decay for the wave equation in exterior domains with some half-linear dissipation." Differential Integral Equations 16 (8) 927 - 948, 2003. https://doi.org/10.57262/die/1356060576

Information

Published: 2003
First available in Project Euclid: 21 December 2012

zbMATH: 1035.35013
MathSciNet: MR1988953
Digital Object Identifier: 10.57262/die/1356060576

Subjects:
Primary: 35L70
Secondary: 35B35 , 35B40

Rights: Copyright © 2003 Khayyam Publishing, Inc.

Vol.16 • No. 8 • 2003
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