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Reports (Research Report) Year : 1991

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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Other [cs.OH]
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Dates and versions

inria-00075180 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00075180 , version 1

Cite

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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