Dirichlet Type Problems in Polydomains

Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In this paper, we investigate a Dirichlet type problem, known as Riquier problem, for higher order linear complex differential equations in the unit polydisc of \(\mathbb {C}^2\). After deriving a Green’s function, we present the solution for a model equation with homogeneous boundary conditions. Afterwards we obtain the solution of a linear equation for Riquier boundary value problem on the unit polydisc in \(\mathbb {C}^2\).

Keywords

Dirichlet type problem Riquier problem Polydisc Complex partial differential equations 

Mathematics Subject Classification (2010)

Primary 32W50; Secondary 32A26 

Notes

Acknowledgements

The author is grateful to the anonymous referees for their careful reading which improved the article, and also to Professor Umit Aksoy for her valuable comments and supports.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsYeditepe UniversityIstanbulTurkey

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