• Media type: Report; Paper; E-Book
  • Title: Regularity and Asymptotic Behaviour for a Damped Plate-Membrane Transmission Problem
  • Contributor: Barraz Martínez, Bienvenido [Author]; Denk, Robert [Author]; Hernández Monzón, Jairo [Author]; Kammerlander, Felix [Author]; Nendel, Max [Author]
  • Published: Center for Mathematical Economics, 2018
  • Language: English
  • ISSN: 0931-6558
  • Origination:
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  • Description: Barraz Martínez B, Denk R, Hernández Monzón J, Kammerlander F, Nendel M. Regularity and Asymptotic Behaviour for a Damped Plate-Membrane Transmission Problem . Center for Mathematical Economics Working Papers. Vol 596. Bielefeld: Center for Mathematical Economics; 2018. ; 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.
  • Access State: Open Access
  • Rights information: In Copyright