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

Serge Nicaise[1]; Cristina Pignotti

  • [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 (2003)

  • Volume: 9, page 563-578
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Nicaise, Serge, and Pignotti, Cristina. "Boundary stabilization of Maxwell’s equations with space-time variable coefficients." ESAIM: Control, Optimisation and Calculus of Variations 9 (2003): 563-578. <http://eudml.org/doc/244668>.

@article{Nicaise2003,
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.},
affiliation = {Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise},
author = {Nicaise, Serge, Pignotti, Cristina},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Maxwell’s system; boundary stabilization; Maxwell's system},
language = {eng},
pages = {563-578},
publisher = {EDP-Sciences},
title = {Boundary stabilization of Maxwell’s equations with space-time variable coefficients},
url = {http://eudml.org/doc/244668},
volume = {9},
year = {2003},
}

TY - JOUR
AU - Nicaise, Serge
AU - Pignotti, Cristina
TI - Boundary stabilization of Maxwell’s equations with space-time variable coefficients
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2003
PB - EDP-Sciences
VL - 9
SP - 563
EP - 578
AB - 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.
LA - eng
KW - Maxwell’s system; boundary stabilization; Maxwell's system
UR - http://eudml.org/doc/244668
ER -

References

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