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The integral representation for a solution of the 2-d Dirichlet problem with boundary data on closed and open curves

Part of: Fredholm integral equations

Published online by Cambridge University Press:  26 February 2010

P. A. Krutitskii
P. A. Krutitskii
Affiliation:
Department of Mathematics, Faculty of Physics, Moscow State University, Moscow 119899, Russia.
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Abstract

The integral representation for the solution of the 2-D Dirichlet problem for harmonic functions with boundary data on closed and open curves is obtained. The solution is expressed as a sum of potentials, the density of which obeys the uniquely solvable Fredholm integral equation of the second kind.

MSC classification

Secondary: 45B05: Fredholm integral equations
Type
Research Article
Information
Mathematika , Volume 47 , Issue 1-2 , December 2000 , pp. 339 - 354
Copyright
Copyright © University College London 2000

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