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An Explicit Solution to the Dirichlet Problem with Rational Holomorphic Data in Terms of a Riemann Mapping

An Explicit Solution to the Dirichlet Problem with Rational Holomorphic Data in Terms of a... We obtain and prove an explicit formula for the solution of the Dirichlet problem in a simply connected bounded domain in the plane with rational holomorphic data. In particular, the solution can be expressed using only two functions: the boundary data function and a Riemann map of the domain. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

An Explicit Solution to the Dirichlet Problem with Rational Holomorphic Data in Terms of a Riemann Mapping

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321636
Publisher site
See Article on Publisher Site

Abstract

We obtain and prove an explicit formula for the solution of the Dirichlet problem in a simply connected bounded domain in the plane with rational holomorphic data. In particular, the solution can be expressed using only two functions: the boundary data function and a Riemann map of the domain.

Journal

Computational Methods and Function Theory – Springer Journals

Published: Oct 26, 2006

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