Rational energy decay rate for a wave equation with dynamical control

Free access article

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.

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