ON THE SOLUTION OF THE DIRICHLET PROBLEM FOR THE 2-DIMENSIONAL LAPLACE EQUATION

Authors
CONSTANDA C
Citation
C. Constanda, ON THE SOLUTION OF THE DIRICHLET PROBLEM FOR THE 2-DIMENSIONAL LAPLACE EQUATION, Proceedings of the American Mathematical Society, 119(3), 1993, pp. 877-884
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
119
Issue
3
Year of publication
1993
Pages
877 - 884
Database
ISI
SICI code
0002-9939(1993)119:3<877:OTSOTD>2.0.ZU;2-X
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 1.