The successive approximation method for the Dirichlet problem in a planar domain

Dagmar Medková

Type: Article

Publication Date: 2008-01-01

Citations: 2

DOI: https://doi.org/10.4064/am35-2-4

Abstract

The Dirichlet problem for the Laplace equation for a planar domain with piecewise-smooth boundary is studied using the indirect integral equation method. The domain is bounded or unbounded. It is not supposed that the boundary is connected. The boundary c

Locations

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+	Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems	1994	Carlos E. Kenig
+ PDF Chat	Solution of the Dirichlet Problem for the Laplace equation	1999	Dagmar Medková
+ PDF Chat	Integral Operators in Potential Theory	1980	Josef Král
+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg
+ PDF Chat	Hardy Spaces and the Dirichlet Problem on Lipschitz Domains	1987	Carlos E. Kenig Jill Pipher
+	The method of layer potentials for non-smooth domains with arbitrary topology	1997	Dorina Mitrea
+ PDF Chat	The Third Problem for the Laplace Equation on a Planar Cracked Domain with Modified Jump Conditions on Cracks	2006	Dagmar Medková
+	The Oblique Derivative Problem for the Laplace Equation in a Plain Domain	2004	Dagmar Medkov�
+ PDF Chat	Solution of the Neumann problem for the Laplace equation	1998	Dagmar Medková