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

Barraz Martínez B, Denk R, Hernández Monzón J, Kammerlander F, Nendel M (2018) Center for Mathematical Economics Working Papers; 596.
Bielefeld: Center for Mathematical Economics.

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Abstract / Bemerkung
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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596
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24
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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.
Barraz Martínez, B., Denk, R., Hernández Monzón, J., Kammerlander, F., & Nendel, M. (2018). Regularity and Asymptotic Behaviour for a Damped Plate-Membrane Transmission Problem (Center for Mathematical Economics Working Papers, 596). Bielefeld: Center for Mathematical Economics.
Barraz Martínez, B., Denk, R., Hernández Monzón, J., Kammerlander, F., and Nendel, M. (2018). Regularity and Asymptotic Behaviour for a Damped Plate-Membrane Transmission Problem. Center for Mathematical Economics Working Papers, 596, Bielefeld: Center for Mathematical Economics.
Barraz Martínez, B., et al., 2018. Regularity and Asymptotic Behaviour for a Damped Plate-Membrane Transmission Problem, Center for Mathematical Economics Working Papers, no.596, Bielefeld: Center for Mathematical Economics.
B. Barraz Martínez, et al., 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.
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, 596. Center for Mathematical Economics, Bielefeld (2018).
Barraz Martínez, Bienvenido, Denk, Robert, Hernández Monzón, Jairo, Kammerlander, Felix, and Nendel, Max. Regularity and Asymptotic Behaviour for a Damped Plate-Membrane Transmission Problem. Bielefeld: Center for Mathematical Economics, 2018. Center for Mathematical Economics Working Papers. 596.
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2018-08-22T13:28:04Z

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