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arXiv · 1807.09730

Regularity and asymptotic behaviour for a damped plate-membrane transmission problem

Bienvenido Barraza Martinez·Robert Denk·Jairo Hernandez Monzon·Felix Kammerlander·Max Nendel
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Abstract

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.

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Bienvenido Barraza Martinez, Robert Denk, Jairo Hernandez Monzon, Felix Kammerlander, Max Nendel. 2018-07-25. Regularity and asymptotic behaviour for a damped plate-membrane transmission problem. https://arxiv.org/abs/1807.09730

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