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The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications

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Integral Methods in Science and Engineering, Volume 1

Abstract

The aim of the present paper is to present an extension of Muskhelishvili’s method to multidimensional problems and to give some related applications. In particular, a multiple-layer potential approach alternative to Agmon’s and Mitrea’s is proposed.

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References

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Authors and Affiliations

  1. University of Basilicata, Potenza, Italy

    A. Cialdea

Authors
  1. A. Cialdea
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Correspondence to A. Cialdea .

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Editors and Affiliations

  1. Department of Mathematics, The University of Tulsa, Tulsa, Oklahoma, USA

    Christian Constanda

  2. Department of Mathematics, The University of Tulsa, Tulsa, Oklahoma, USA

    Matteo Dalla Riva

  3. Department of Mathematics, University of Padova, Padova, Italy

    Pier Domenico Lamberti

  4. Systems Analysis, Prognosis and Control, Fraunhofer Institute for Industrial Math, Kaiserslautern, Germany

    Paolo Musolino

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Cialdea, A. (2017). The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications. In: Constanda, C., Dalla Riva, M., Lamberti, P., Musolino, P. (eds) Integral Methods in Science and Engineering, Volume 1. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-59384-5_6

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