Dirichlet Type Problems in Polydomains

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


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 \(\mathbb {C}^2\).


Dirichlet type problem Riquier problem Polydisc Complex partial differential equations 

Mathematics Subject Classification (2010)

Primary 32W50; Secondary 32A26 



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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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsYeditepe UniversityIstanbulTurkey

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