On the solution of the Dirichlet problem for the two-dimensional Laplace equation

Author:
Christian Constanda

Journal:
Proc. Amer. Math. Soc. **119** (1993), 877-884

MSC:
Primary 31A10; Secondary 35J05

MathSciNet review:
1157999

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Abstract: The solution of the Dirichlet problem for the two-dimensional Laplace equation is obtained as a modified single layer potential by a method applicable even when the logarithmic capacity of the boundary curve is equal to .

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DOI:
https://doi.org/10.1090/S0002-9939-1993-1157999-4

Article copyright:
© Copyright 1993
American Mathematical Society