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.

MoreLess

Year of publication:	2018
Authors:	Barraza Martínez, Bienvenido ; Denk, Robert ; Hernández Monzón, Jairo ; Kammerlander, Felix ; Nendel, Max
Publisher:	Bielefeld : Bielefeld University, Center for Mathematical Economics (IMW)

More details

Series:	Center for Mathematical Economics Working Papers ; 596
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	1029486077 [GVK] hdl:10419/201621 [Handle] RePEc:bie:wpaper:596 [RePEc]
Source:	EconStor

Persistent link: https://www.econbiz.de/10012042135