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Boundary stabilization of Maxwell's equations with space-time variable coefficients

Published online by Cambridge University Press:  15 September 2003

Serge Nicaise and
Cristina Pignotti
Serge Nicaise
Affiliation:
Université de Valenciennes et du Hainaut Cambrésis MACS, Institut des Sciences et Techniques de Valenciennes, 59313 Valenciennes Cedex 9, France; s.nicaise@univ-valenciennes.fr.
Cristina Pignotti
Affiliation:
Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma “La Sapienza”, Via A. Scarpa 16, 00161 Roma, Italy; pignotti@dmmm.uniroma1.it.
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Abstract

We consider the stabilization ofMaxwell's equations with space-time variable coefficientsin a bounded region with a smooth boundaryby means of linear or nonlinear Silver–Müller boundary condition.This is based on some stability estimatesthat are obtained using the “standard" identity with multiplierand appropriate properties of the feedback.We deduce an explicit decay rate of the energy, for instanceexponential, polynomial or logarithmic decays are available for appropriatefeedbacks.

Keywords

Maxwell's systemboundary stabilization.

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003, pp. 563 - 578
Copyright
© EDP Sciences, SMAI, 2003

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