Citation:
Moumen L, Rebiai S-E. Exponential stability of the transmission wave equation with a distributed delay term in the boundary damping. Rendiconti del circolo matematico di palermo series 2 [Internet]. 2022;72 :3459–3486.
Abstract:
We consider a system of transmission of the wave equation with Neumann feedback control that contains a distributed delay term and that acts on the exterior boundary. We prove under some assumptions that the solutions decay exponentially in an appropriate energy space. To establish this result, we introduce a suitable energy function and use multipliers technique method and compactness-uniqueness argument.