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Analysis as a Life pp 69–92Cite as

Birkhäuser

Boundary Value Problems in Polydomains

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

Abstract

In this paper we give a short survey of the boundary value problems in polydomains in the last decades. Firstly we develop an alternative method to derive integral representations for functions in \(\mathbb {C}^n\). This unified method provides representations which are suitable to be employed in discussions for all linear boundary value problems. In the rest of the article we have improved some results obtained for Schwarz and Dirichlet type problems.

Dedicated to Prof. H.G.W. Begehr on the occasion of his 80th birthday

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Acknowledgements

The author is grateful to Professor Ümit Aksoy for her valuable comments and supports.

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Authors and Affiliations

  1. Yeditepe University, Istanbul, Turkey

    Ahmet Okay Çelebi

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  1. Ahmet Okay Çelebi
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Correspondence to Ahmet Okay Çelebi .

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Editors and Affiliations

  1. Department of Economics, Belarusian State University, Minsk, Belarus

    Sergei Rogosin

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

    Ahmet Okay Çelebi

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Çelebi, A.O. (2019). Boundary Value Problems in Polydomains. In: Rogosin, S., Çelebi, A. (eds) Analysis as a Life. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-02650-9_5

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