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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Rapport
[Research Report] RR-1381, INRIA. 1991, pp.28
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Soumis le : mercredi 24 mai 2006 - 17:39:29
Dernière modification le : samedi 17 septembre 2016 - 01:06:50
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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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