On hyperbolic mixed problems with dynamic and Wentzell boundary conditions

Davide Guidetti

doi:10.3934/dcdss.2020239

Article Contents

2020, Volume 13, Issue 12: 3461-3471. Doi: 10.3934/dcdss.2020239

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On hyperbolic mixed problems with dynamic and Wentzell boundary conditions

Davide Guidetti^,

Dipartimento di matematica, Piazza di Porta S. Donato 5, 40126 Bologna, Italy

^* Corresponding author
^* Corresponding author

Dedicated to Gisele Ruiz Goldstein in occasion of her sixtieth birthday
The author is member of GNAMPA of Istituto Nazionale di Alta Matematica

Received: November 30, 2018

Revised: July 31, 2019

Early access: January 2020

Published: August 2020

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Abstract

We study mixed hyperbolic systems with dynamic and Wentzell boundary conditions. The boundary condition contains a tangential operator which is strongly elliptic on the boundary. We prove results of generation of strongly continuous groups and well-posedness.

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Mathematics Subject Classification: 35L53, 47D06.

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References

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