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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 of Maxwell's equations with space-time variable coefficients in a bounded region with a smooth boundary by means of linear or nonlinear Silver–Müller boundary condition. This is based on some stability estimates that are obtained using the “standard" identity with multiplier and appropriate properties of the feedback. We deduce an explicit decay rate of the energy, for instance exponential, polynomial or logarithmic decays are available for appropriate feedbacks.

Keywords

Maxwell's systemboundary stabilization.
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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