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Generalized Monogenic Functions Satisfying Differential Equations with Anti-Monogenic Right-Hand Sides

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Complex Methods for Partial Differential Equations

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 6))

Abstract

A generalized monogenic function is a Clifford-algebra-valued solution u = u(x) of an equation of type Du = F(x,u) where D is the Cauchy-Riemann operator in ℝ n+1 and F(x,u) is linear in the components of u. The paper proves a sufficient condition under which the right-hand side is antimonogenic. This criterion makes it possible to construct anti-monogenic righthand sides.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technical University Graz, Steyrergasse 30/3, A-8010, Graz, Austria

    W. Tutschke & U. Yüksel

Authors
  1. W. Tutschke
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  2. U. Yüksel
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Editor information

Editors and Affiliations

  1. I. Mathematisches Institut, Freie Universität Berlin, Berlin, Germany

    Heinrich G. W. Begehr

  2. Department of Mathematics, Faculty of Sciences, Middle East Technical University, Ankara, Turkey

    A. Okay Celebi

  3. Institut für Mathematik, Technische Universität Graz, Graz, Austria

    Wolfgang Tutschke

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© 1999 Kluwer Academic Publishers

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Tutschke, W., Yüksel, U. (1999). Generalized Monogenic Functions Satisfying Differential Equations with Anti-Monogenic Right-Hand Sides. In: Begehr, H.G.W., Celebi, A.O., Tutschke, W. (eds) Complex Methods for Partial Differential Equations. International Society for Analysis, Applications and Computation, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3291-6_16

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  • DOI: https://doi.org/10.1007/978-1-4613-3291-6_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3293-0

  • Online ISBN: 978-1-4613-3291-6

  • eBook Packages: Springer Book Archive

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