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

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2019

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Barraza Martínez, Bienvenido
Hernández Monzón, Jairo

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Published

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Journal of Mathematical Analysis and Applications. 2019, 474(2), pp. 1082-1103. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2019.02.005

Zusammenfassung

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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Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Plate–membrane equation, Transmission problem, Asymptotic behavior

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ISO 690BARRAZA MARTÍNEZ, Bienvenido, Robert DENK, Jairo HERNÁNDEZ MONZÓN, Felix KAMMERLANDER, Max NENDEL, 2019. Regularity and asymptotic behavior for a damped plate-membrane transmission problem. In: Journal of Mathematical Analysis and Applications. 2019, 474(2), pp. 1082-1103. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2019.02.005
BibTex
@article{BarrazaMartinez2019Regul-42932.2,
  year={2019},
  doi={10.1016/j.jmaa.2019.02.005},
  title={Regularity and asymptotic behavior for a damped plate-membrane transmission problem},
  number={2},
  volume={474},
  issn={0022-247X},
  journal={Journal of Mathematical Analysis and Applications},
  pages={1082--1103},
  author={Barraza Martínez, Bienvenido and Denk, Robert and Hernández Monzón, Jairo and Kammerlander, Felix and Nendel, Max}
}
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