Physical Mathematics

Partial Interior Stabilization of a Coupled Wave Equations on an Exterior Bounded Obstacle

Abstract

Moulahi A and Dlala M

We consider a stabilization problem for a coupled wave equations on an exterior of bounded domain with interior stabilization. Under a geometrical control condition (BLR condition ), for any initial data in the energy space, we show a result of exponential stability in odd dimensional case and polynomial stability in the case of even dimension.