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2002 Stabilization of the total energy for a system of elasticity with localized dissipation
María Angélica Astaburuaga, Ruy Coimbra Charão
Differential Integral Equations 15(11): 1357-1376 (2002).

Abstract

In this paper we study the system of elastic waves in a bounded domain in ${{\mathbb R}}^3$ with a localized dissipation given by a function $q(x)$ in $L^r(\Omega )$. The dissipation is effective only on a neighborhood of part of the boundary of the domain. We prove algebraic decay rate of energy. In order to obtain this result we develop new energy identities for this system. Our result extend previous results for the system of elasticity and wave equation.

Citation

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María Angélica Astaburuaga. Ruy Coimbra Charão. "Stabilization of the total energy for a system of elasticity with localized dissipation." Differential Integral Equations 15 (11) 1357 - 1376, 2002.

Information

Published: 2002
First available in Project Euclid: 21 December 2012

zbMATH: 1031.35094
MathSciNet: MR1920692

Subjects:
Primary: 93D15
Secondary: 35B45 , 35L05 , 35Q72 , 93C20

Rights: Copyright © 2002 Khayyam Publishing, Inc.

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Vol.15 • No. 11 • 2002
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