On energy decay rate for linear damped systems

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November 2002, 8(4): 851-864. doi: 10.3934/dcds.2002.8.851

On energy decay rate for linear damped systems

1.	Institut de Recherche Mathématique Avancée, Université de Louis Pasteur de Strasbourg, 7 Rue René-Descartes, 67084 Strasbourg Cedex, France

Received April 2001 Revised May 2002 Published July 2002

Abstract
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We study the asymptotic behavior of solutions of the damped linear system $u_{t t}(t)+Au(t)+Bu_t(t)=0, t\geq 0$ in the context of Hilbert spaces. We present abstract theorems on the decay rate, moreover an adequate example is presented to illustrate these results.

Keywords: asymptotic behavior, Decay rate, $C_0$-semigroups..

Mathematics Subject Classification: Primary: 47D03, 35B3.

Citation: Mohammed Aassila. On energy decay rate for linear damped systems. Discrete & Continuous Dynamical Systems - A, 2002, 8 (4) : 851-864. doi: 10.3934/dcds.2002.8.851

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