Geodesic
Boundary stabilization of Maxwell's equations with space-time variable coefficients
Nicaise, Serge1  ; Pignotti, Cristina 
1 Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 563-578

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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.

DOI : 10.1051/cocv:2003027
Classification : 93D15, 93B05, 93C20
Keywords: Maxwell's system, boundary stabilization

Nicaise, Serge 1 ; Pignotti, Cristina 

1 Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise 
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     title = {Boundary stabilization of {Maxwell's} equations with space-time variable coefficients},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {563--578},
     publisher = {EDP-Sciences},
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     year = {2003},
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Nicaise, Serge; Pignotti, Cristina. Boundary stabilization of Maxwell's equations with space-time variable coefficients. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 563-578. doi: 10.1051/cocv:2003027

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