Stabilisation of a wave equation with localised memory term and boundary frictional damping

摘要

This paper is devoted to the study of uniform decay of a wave equation with dynamical boundary conditions, localised memory term and frictional dampings. We prove that a localised memory term combined with frictional dissipations is strong enough, via transmission process (u|(Gamma) = v), to assure the asymptotic stability of the whole system.