Geodesic
The boundary-value problems for Laplace equation and domains with nonsmooth boundary
Archivum mathematicum, Tome 34 (1998) no. 1, pp. 173-181
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Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.
Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.
Classification : 31B05, 31B10, 35J05, 35J25
Keywords: Laplace equation; Dirichlet problem; Neumann problem; Robin problem 
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Medková, Dagmar. The boundary-value problems for Laplace equation and domains with nonsmooth boundary. Archivum mathematicum, Tome 34 (1998) no. 1, pp. 173-181. http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a15/

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