Regularity and Asymptotic Behaviour for a Damped Plate-Membrane Transmission Problem

Bienvenido Barraz Martínez, Robert Denk, Jairo Hernández Monzón, Felix Kammerlander and Max Nendel
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Bienvenido Barraz Martínez: Center for Mathematical Economics, Bielefeld University
Jairo Hernández Monzón: Center for Mathematical Economics, Bielefeld University
Felix Kammerlander: Center for Mathematical Economics, Bielefeld University
Max Nendel: Center for Mathematical Economics, Bielefeld University

No 596, Center for Mathematical Economics Working Papers from Center for Mathematical Economics, Bielefeld University

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.

Pages: 24
Date: 2018-08-22
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https://pub.uni-bielefeld.de/download/2930570/2930571 First Version, 2018 (application/pdf)

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Persistent link: https://EconPapers.repec.org/RePEc:bie:wpaper:596

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