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Title: Solution of the Neumann problem for the Laplace equation (English)
Author: Medková, Dagmar
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 48
Issue: 4
Year: 1998
Pages: 763-784
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: single layer potential
Keyword: generalized normal derivative
MSC: 31B10
MSC: 35J05
MSC: 35J10
MSC: 35J25
idZBL: Zbl 0949.31004
idMR: MR1658269
Date available: 2009-09-24T10:18:18Z
Last updated: 2020-07-03
Stable URL:
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