Solution of the Neumann problem for the Laplace equation |
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Authors: | Dagmar Medková |
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Affiliation: | (1) (Mathematický ústav AV R), itná 25, 115 67 Praha 1, Czech Republic |
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Abstract: | For fairly general open sets it is shown that we can express a solution of the Neumann problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series. If the open set is simply connected and bounded then the solution of the Dirichlet problem is the double layer potential with a density given by a similar series. |
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Keywords: | single layer potential generalized normal derivative |
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