Regularity and asymptotic behaviour for a damped plate-membrane transmission problem
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.
Year of publication: |
2018
|
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Authors: | Barraza Martínez, Bienvenido ; Denk, Robert ; Hernández Monzón, Jairo ; Kammerlander, Felix ; Nendel, Max |
Publisher: |
Bielefeld : Bielefeld University, Center for Mathematical Economics (IMW) |
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freely available
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