Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 21, pp. 1-26.

Title:  Stabilization of heteregeneous  Maxwell's equations 
        by linear or nonlinear boundary feedbacks
   
Authors: Matthias Eller (Georgetown Univ., Washington DC, USA)
         John E. Lagnese (Georgetown Univ., Washington DC, USA)
         Serge Nicaise (Univ. de Valenciennes et du Hainaut Cambresis, France)

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-M\"uller 
  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.