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Dirichlet Problem for Inhomogeneous Biharmonic Equation in Clifford Analysis

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Current Trends in Analysis, its Applications and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

An integral representation formula in terms of the bi-Laplacian operator is obtained and Dirichlet problem for the bi-Poisson equation is solved in Clifford analysis.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Atilim University, Ankara, Turkey

    Ümit Aksoy

  2. Department of Mathematics, Yeditepe University, Istanbul, Turkey

    A. Okay Çelebi

Authors
  1. Ümit Aksoy
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  2. A. Okay Çelebi
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Corresponding author

Correspondence to Ümit Aksoy .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Paula Cerejeiras

  2. Institut of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Michael Reissig

  3. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

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Aksoy, Ü., Çelebi, A.O. (2022). Dirichlet Problem for Inhomogeneous Biharmonic Equation in Clifford Analysis. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_3

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