| Title:
|
Reflection and a mixed boundary value problem concerning analytic functions (English) |
| Author:
|
Dontová, Eva |
| Author:
|
Dont, Miroslav |
| Author:
|
Král, Josef |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
317-336 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A mixed boundary value problem on a doubly connected domain in the complex plane is investigated. The solution is given in an integral form using reflection mapping. The reflection mapping makes it possible to reduce the problem to an integral equation considered only on a part of the boundary of the domain. (English) |
| Keyword:
|
boundary value problem |
| Keyword:
|
integral equations |
| Keyword:
|
Fredholm type equation |
| MSC:
|
30E25 |
| MSC:
|
31A25 |
| idZBL:
|
Zbl 0903.30028 |
| idMR:
|
MR1600664 |
| DOI:
|
10.21136/MB.1997.126150 |
| . |
| Date available:
|
2009-09-24T21:26:55Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126150 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
[3] E. Dontová: Reflection and the Dirichlet and Neumann problems.Thesis, Prague, 1990. (In Czech.) |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[13] J. Král D. Medková: Angular limits of the integrals of the Cauchy type.Preprint 47/1994, MU AV ČR. MR 1479307 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[18] J. M. Sloss: Global reflection for a class of simple closed curves.Pacific J. Math. 52 (1974), 247-260. Zbl 0243.30004, MR 0379807, 10.2140/pjm.1974.52.247 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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