Geodesic
Solution of the Dirichlet problem with l^p boundary condition
Kragujevac Journal of Mathematics, Tome 31 (2008), p. 29 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The solution of the Dirichlet problem for the Laplace equation is looked for in the form of the sum of a single layer and a double layer potentials with the same density $f$. The original problem is reduced to the solving of the integral equation with an unknown density $f$. The solution $f$ of this integral equation is given by the Neumann series.
Classification : 31B10 35J05 65N99
Keywords: Laplace equation, Dirichlet problem, double layer potential, single layer potential, successive approximation method 
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     title = {Solution of the {Dirichlet} problem with l^p boundary condition},
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Dagmar Medková. Solution of the Dirichlet problem with l^p boundary condition. Kragujevac Journal of Mathematics, Tome 31 (2008), p. 29 . http://geodesic.mathdoc.fr/item/KJM_2008_31_a2/