Original scientific paper

https://doi.org/10.3336/gm.43.2.10

Energy decay estimates for a wave equation with nonlinear boundary fee

Mohammad Cherkaoui ; Université Moulay Ismail, Département de Mathematiques, Faculté des Sciences et Techniques, B. P. 509, Errachidia, Maroc
Naji Yebari ; Université Abdelmalek Essaadi, Département de Mathematiques, Faculté des Sciences, B. P. 2121, Tetouan, Maroc

Abstract

We study a wave equation in one dimensional space with nonlinear dissipative boundary feedback at both ends. We prove existence and uniqueness of solution, strong and uniform exponential decay of energy under some conditions in the nonlinear feedback. Decay rate estimates of the energy are given under weak growth assumptions on the feedback functions

Keywords

Wave equation; nonlinear boundary value problems; stabilization of systems by feedback; Lyapunov stability; polynomial decay

Hrčak ID:

28902

URI

https://hrcak.srce.hr/28902

Publication date:

10.11.2008.

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