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

Serge Nicaise; Cristina Pignotti

ESAIM: Control, Optimisation and Calculus of Variations (2010)

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

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topNicaise, Serge, and Pignotti, Cristina. "Boundary stabilization of Maxwell's equations with space-time variable coefficients." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 563-578. <http://eudml.org/doc/90711>.

@article{Nicaise2010,

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.
},

author = {Nicaise, Serge, Pignotti, Cristina},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Maxwell's system; boundary stabilization.; boundary stabilization},

language = {eng},

month = {3},

pages = {563-578},

publisher = {EDP Sciences},

title = {Boundary stabilization of Maxwell's equations with space-time variable coefficients},

url = {http://eudml.org/doc/90711},

volume = {9},

year = {2010},

}

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

DA - 2010/3//

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.; boundary stabilization

UR - http://eudml.org/doc/90711

ER -

## References

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