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Contrôle et stabilisation d'ondesélectromagnétiques

Published online by Cambridge University Press:  15 August 2002

Kim Dang Phung
Kim Dang Phung*
Affiliation:
Centre de Mathématiques et leurs Applications, CMLA, École Normale Supérieure de Cachan, ENS, Cachan, France; phung@cmla.ens-cachan.fr.
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Abstract

We consider the exact controllability and stabilization of Maxwell equation by using results on the propagation of singularities of the electromagnetic field. We will assume geometrical control condition and use techniques of the work of Bardos et al. on the wave equation. The problem of internal stabilization will be treated with more attention because the condition divE=0 is not preserved by the system of Maxwell with Ohm's law.

Keywords

Contrôlabilitéstabilisationéquation de Maxwell.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 5 , 2000 , pp. 87 - 137
Copyright
© EDP Sciences, SMAI, 2000

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