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November/December 2009 Energy decay for solutions of the wave equation with general memory boundary conditions
Pierre Cornilleau, Serge Nicaise
Differential Integral Equations 22(11/12): 1173-1192 (November/December 2009).

Abstract

We consider the wave equation in a smooth domain subject to Dirichlet boundary conditions on one part of the boundary and dissipative boundary conditions of memory-delay type on the remainder of the boundary, where a general Borel measure is involved. Under quite weak assumptions on this measure, using the multiplier method and a standard integral inequality, we show the exponential stability of the system. Some examples of measures satisfying our hypotheses are given, recovering and extending some of the results from the literature.

Citation

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Pierre Cornilleau. Serge Nicaise. "Energy decay for solutions of the wave equation with general memory boundary conditions." Differential Integral Equations 22 (11/12) 1173 - 1192, November/December 2009.

Information

Published: November/December 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35328
MathSciNet: MR2555643

Subjects:
Primary: 35L20
Secondary: 35B40, 35L05

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 11/12 • November/December 2009
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