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Issue ESAIM: Proc.
Volume 8, 2000
Contrôle des systèmes gouvernés par des équations aux dérivées partielles
Page(s) 161 - 168
DOI http://dx.doi.org/10.1051/proc:2000012

ESAIM: Proc., 2000, Vol. 8, pp. 161-168
DOI: 10.1051/proc:2000012

Rational energy decay rate for a wave equation with dynamical control

Ali Wehbe

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


Abstract
We consider a wave equation with dynamical control. We first establish the rational energy decay rate using a multiplier method. Next, using a spectrum method, we prove that the rational energy decay rate is optimal.



© EDP Sciences, ESAIM 2000

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