Barraza Martínez, Bienvenido Denk, Robert Hernández Monzón, Jairo Kammerlander, Felix Nendel, Max
Year of Publication:
Center for Mathematical Economics Working Papers No. 596
Bielefeld University, Center for Mathematical Economics (IMW), Bielefeld
We consider a transmission problem where a structurally damped plate equation is coupled with a damped or undamped wave equation by transmission conditions. We show that exponential stability holds in the damped-damped situation and polynomial stability (but no exponential stability) holds in the damped-undamped case. Additionally, we show that the solutions first defined by the weak formulation, in fact have higher Sobolev space regularity.