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Decay of solutions of wave equation in a star-shaped domain with nonlinear boundary feedback

Abstract : We study the uniform stabilization of the wave equation by means of a nonlinear dissipative boundary feedback. We consider a Neumann condition on the whole boundary, and the observation is the boundary displacement and velocity. Extending a result of E. Zuazua, we obtain, in a nonlinear framework, estimates of the decay, for any displacement. We establish a similar result for the one-dimensional wave equation with a variable coefficient.
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https://hal.inria.fr/inria-00075180
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Submitted on : Wednesday, May 24, 2006 - 5:39:29 PM
Last modification on : Friday, February 4, 2022 - 3:21:23 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 9:38:57 PM

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  • HAL Id : inria-00075180, version 1

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Francis Conrad, Bopeng Rao. Decay of solutions of wave equation in a star-shaped domain with nonlinear boundary feedback. [Research Report] RR-1381, INRIA. 1991, pp.28. ⟨inria-00075180⟩

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