Uniform Stabilization of the wave equation on compact surfaces and locally distributed damping

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective on the complement of visible umbilical sets.

Asymptotic stability of the wave equation on compact surfaces and locally distributed damping - A sharp result

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective in a well-chosen subset of arbitrarily small measure.