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A Note on the Schwarz Problem in a Ring Domain

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Current Trends in Analysis, its Applications and Computation

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

Abstract

In this presentation we discuss the Schwarz problem in a ring domain. After the preliminaries we have taken the inhomogeneous Cauchy–Riemann equation with revised boundary conditions. In the next section we give the unique solution of the Schwarz problem for generalized Beltrami equation in a ring domain using Fredholm alternative.

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References

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Author information

Authors and Affiliations

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

    A. Okay Çelebi & Pelin Ayşe Gökgöz

Authors
  1. A. Okay Çelebi
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  2. Pelin Ayşe Gökgöz
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Corresponding author

Correspondence to A. Okay Çelebi .

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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Çelebi, A.O., Gökgöz, P.A. (2022). A Note on the Schwarz Problem in a Ring Domain. 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_4

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