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Dirichlet Problems for the Generalized n-Poisson Equation

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Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 205))

Abstract

Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Atilim University, 06836, Ankara, Turkey

    Ü. Aksoy

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

    A. O. Çelebi

Authors
  1. Ü. Aksoy
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  2. A. O. Çelebi
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Universität Potsdam, Am Neuen Palais 10, 14469, Potsdam, Germany

    Bert-Wolfgang Schulze

  2. Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada

    M. W. Wong

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Aksoy, Ü., Çelebi, A.O. (2009). Dirichlet Problems for the Generalized n-Poisson Equation. In: Schulze, BW., Wong, M.W. (eds) Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations. Operator Theory: Advances and Applications, vol 205. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0198-6_7

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