| 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:
|
http://hdl.handle.net/10338.dmlcz/127453 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
