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.
Classification : 31B05, 31B10, 35J05, 35J25
Keywords: Laplace equation; Dirichlet problem; Neumann problem; Robin problem 
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     author = {Medkov\'a, Dagmar},
     title = {The boundary-value problems for {Laplace} equation and domains with nonsmooth boundary},
     journal = {Archivum mathematicum},
     pages = {173--181},
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     volume = {34},
     number = {1},
     year = {1998},
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     zbl = {0910.35038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a15/}
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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/