Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary

Davide Guidetti

doi:10.3934/cpaa.2016.15.1401

Article Contents

2016, Volume 15, Issue 4: 1401-1417. Doi: 10.3934/cpaa.2016.15.1401

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Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary

Davide Guidetti^1,

1.
Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna

Received: August 31, 2015

Revised: December 31, 2015

Published: June 2016

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Abstract

We show a result of maximal regularity in spaces of Hölder continuous function, concerning linear parabolic systems, with dynamic or Wentzell boundary conditions, with an elliptic diffusion term on the boundary.

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Mathematics Subject Classification: 35K15, 35K20.

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References

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