On the nonlinear stabilization of the wave equation

• Autorzy: Aissa Guesmia
• Języki publikacji: EN

Abstrakty

EN

We obtain a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with nonlinear internal and boundary feedbacks. We show that a judicious choice of the feedbacks leads to fast energy decay.

Słowa kluczowe

EN

wave equation; nonlinear damping; integral inequality

Kategorie tematyczne

• 93D15: Stabilization of systems by feedback
• 35L05: Wave equation
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 68
• Numer: 2
• Strony: 191-198

Daty

wydano

1998

otrzymano

1997-07-08

Twórcy

autor

Aissa Guesmia

• Institut de recherche mathématique avancée, Université Louis Pasteur et CNRS, 7, rue René Descartes, 67084 Strasbourg Cedex, France

Bibliografia

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• [3] A. Guesmia, Stabilisation frontière non linéaire d'un système isotropique d'élasticité, submitted.
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