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2008 Stabilization of the wave equation with boundary or internal distributed delay
Serge Nicaise, Cristina Pignotti
Differential Integral Equations 21(9-10): 935-958 (2008).

Abstract

We consider the wave equation in a bounded region with a smooth boundary with distributed delay on the boundary or into the domain. In both cases, under suitable assumptions, we prove the exponential stability of the solution. These results are obtained by introducing suitable energies and by proving some observability inequalities. For an internal distributed delay, we further show some instability results.

Citation

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Serge Nicaise. Cristina Pignotti. "Stabilization of the wave equation with boundary or internal distributed delay." Differential Integral Equations 21 (9-10) 935 - 958, 2008.

Information

Published: 2008
First available in Project Euclid: 20 December 2012

zbMATH: 1224.35247
MathSciNet: MR2483342

Subjects:
Primary: 35L20
Secondary: 93C20, 93D15

Rights: Copyright © 2008 Khayyam Publishing, Inc.

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Vol.21 • No. 9-10 • 2008
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