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

Abstract. We consider the stabilization of Maxwell’s equations with space-time variable coecients 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