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The Cl n -Valued Robin Boundary Value Problem on Lipschitz Domains in ℝ n

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Clifford Analysis and Its Applications

Part of the book series: NATO Science Series ((NAII,volume 25))

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Abstract

We show that the L2-Robin boundary value problem for Laplace’s equation on a Lipschitz domain in ℝn, with Cl n-valued boundary data (see (R) below), is explicitly solvable via layer potential operators. Corresponding results for the L p-Robin problem are stated without proof.

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References

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, Univeristy of Arkansas, USA

    Loredana Lanzani

Authors
  1. Loredana Lanzani
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Editor information

Editors and Affiliations

  1. Department of Mathematical Analysis, Ghent University, Ghent, Belgium

    F. Brackx

  2. Institute of Mathematics and Statistics, University of Kent, Canterbury, UK

    J. S. R. Chisholm

  3. Mathematical Institute, Charles University, Prague, Czech Republic

    V. Souček

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© 2001 Springer Science+Business Media Dordrecht

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Lanzani, L. (2001). The Cl n -Valued Robin Boundary Value Problem on Lipschitz Domains in ℝ n . In: Brackx, F., Chisholm, J.S.R., Souček, V. (eds) Clifford Analysis and Its Applications. NATO Science Series, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0862-4_18

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  • DOI: https://doi.org/10.1007/978-94-010-0862-4_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7045-1

  • Online ISBN: 978-94-010-0862-4

  • eBook Packages: Springer Book Archive

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