Matthias Eller, John E. Lagnese, & Serge Nicaise
Abstract:
We examine the question of stabilization of the (nonstationary)
heteregeneous Maxwell's equations in a bounded region with a
Lipschitz boundary by means of linear or nonlinear Silver-Muller
boundary condition.
This requires the validity of some stability estimate in the linear
case that may be checked in some particular situations.
As a consequence we get an explicit decay rate of the energy, for
instance exponential, polynomial or logarithmic decays are available
for appropriate feedbacks. Based on the linear stability estimate,
we further obtain certain exact controllability results for the
Maxwell system.
Submitted October 23, 2001. Published February 21, 2002.
Math Subject Classifications: 93D15, 93B05, 93C20.
Key Words: Maxwell's system, controllability, stability, nonlinear feedbacks.
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Matthias Eller Department of Mathematics Georgetown University Washington, DC 20057 USA e-mail: eller@math.georgetown.edu |
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John E. Lagnese Department of Mathematics Georgetown University Washington, DC 20057 USA e-mail: lagnese@math.georgetown.edu |
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Serge Nicaise Universite de Valenciennes et du Hainaut Cambresis MACS, Institut des Sciences et Techniques de Valenciennes 59313 - Valenciennes Cedex 9 France email: snicaise@univ-valenciennes.fr |
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