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The Fourth Order Wentzell Heat Equation

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Semigroups of Operators – Theory and Applications (SOTA 2018)

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Abstract

We consider the Wentzell Laplacian and its square in general domains. Applications to the Cauchy problems associated with Wentzell heat, wave and plate equations are presented.

Dedicated to Jan Kisynski on his 85th birthday

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Acknowledgements

Part of this paper was done during the period when G. R. Goldstein and J. A. Goldstein were Visiting Professors at the University of Bari Aldo Moro. The results obtained are part of the research plan of D. Guidetti and S. Romanelli as members of G.N.A.M.P.A. (Istituto Nazionale di Alta Matematica).

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, 373 Dunn Hall, Memphis, TN, 38152-3240, USA

    Gisèle Ruiz Goldstein & Jerome A. Goldstein

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

    Davide Guidetti

  3. Dipartimento di Matematica, Università degli Studi di Bari Aldo Moro, via E. Orabona 4, 70125, Bari, Italy

    Silvia Romanelli

Authors
  1. Gisèle Ruiz Goldstein
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  2. Jerome A. Goldstein
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  3. Davide Guidetti
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  4. Silvia Romanelli
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Corresponding author

Correspondence to Gisèle Ruiz Goldstein .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield, South Africa

    Jacek Banasiak

  2. Department of Mathematics, Lublin University of Technology, Lublin, Poland

    Adam Bobrowski

  3. Institute of Applied Mathematics and Mechanics, University of Warsaw, Warsaw, Poland

    Mirosław Lachowicz

  4. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland

    Yuri Tomilov

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Goldstein, G.R., Goldstein, J.A., Guidetti, D., Romanelli, S. (2020). The Fourth Order Wentzell Heat Equation. In: Banasiak, J., Bobrowski, A., Lachowicz, M., Tomilov, Y. (eds) Semigroups of Operators – Theory and Applications. SOTA 2018. Springer Proceedings in Mathematics & Statistics, vol 325. Springer, Cham. https://doi.org/10.1007/978-3-030-46079-2_12

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