| Title:
|
Double layer potentials and the Dirichlet problem (English) |
| Author:
|
Netuka, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
24 |
| Issue:
|
1 |
| Year:
|
1974 |
| Pages:
|
59-73 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
31B20 |
| idZBL:
|
Zbl 0308.31008 |
| idMR:
|
MR0348127 |
| DOI:
|
10.21136/CMJ.1974.101217 |
| . |
| Date available:
|
2008-06-09T14:05:17Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101217 |
| . |
| Reference:
|
[1] H. Bauer: Harmonische Räume und ihre Potentialtheorie.Springer Verlag, Berlin, 1966. Zbl 0142.38402, MR 0210916 |
| Reference:
|
[2] N. Boboc С. Constantinescu, A. Cornea: On the Dirichlet problem in the axiomatic theory of harmonic functions.Nagoya Math. J. 23 (1963), 73-96. MR 0162957 |
| Reference:
|
[3] Ju. D. Burago, V. G. Mazja: Some questions in potential theory and function theory for regions with irregular boundaries.(Russian), Zapiski nauč. sem. Leningrad otd. MIAN 3 (1967). |
| Reference:
|
[4] M. Dont: Non-tangential limits of the double layer potentials.Časopis pro pěstování matematiky 97 (1972), 231-258. Zbl 0237.31012, MR 0444975 |
| Reference:
|
[5] H. Federer, W. H. Fleming: Normal and integral currents.Annals of Math. 72 (1960), 458-520. Zbl 0187.31301, MR 0123260, 10.2307/1970227 |
| Reference:
|
[6] L. L. Helms: Introduction to potential theory.Wiley-Interscience, New York, 1969. Zbl 0188.17203, MR 0261018 |
| Reference:
|
[7] J. Köhn, M. Sieveking: Zum Cauchyschen und Dirichletschen Problem.Math. Ann. 177 (1968), 133-142. MR 0227445, 10.1007/BF01350789 |
| Reference:
|
[8] J. Král: The Fredholm method in potential theory.Trans. Amer. Math. Soc. 125 (1966), 511-547. MR 0209503, 10.2307/1994580 |
| Reference:
|
[9] J. Král: Flows of heat and the Fourier problem.Czechoslovak Math. J. 20 (95) (1970), 556-598. MR 0271554 |
| Reference:
|
[10] J. Král: A note on the Robin problem in potential theory.Comment. Math. Univ. Carolinae (to appear). MR 0333219 |
| Reference:
|
[11] I. Netuka: Generalized Robin problem in potential theory.Czechoslovak Math. J. 22 (97) (1972), 312-324. Zbl 0241.31008, MR 0294673 |
| Reference:
|
[12] I. Netuka: An operator connected with the third boundary value problem in potential theory.ibid. 462-489. Zbl 0241.31009, MR 0316733 |
| Reference:
|
[13] I. Netuka: The third boundary value problem in potential theory.ibid. 554-580. Zbl 0383.31002, MR 0313528 |
| Reference:
|
[14] I. Netuka: Double layer potential representation of the solution of the Dirichlet problem.Comment. Math. Univ. Carolinae 14 (1973), 183-185. Zbl 0255.31009, MR 0316725 |
| Reference:
|
[15] С. de la Vallée Poussin: Propriété des fonctions harmoniques dans un domaine ouvert limité par des surfaces à courbure borné.Ann. Scuola Norm. Sup. Pisa 2 (1933), 167-197. |
| Reference:
|
[16] Š. Schwabik: On an integral operator in the space of functions with bounded variation.Časopis pro pěstování matematiky 97 (1972), 297-330. Zbl 0255.47057, MR 0450906 |
| Reference:
|
[17] R. Sikorski: Funkcje rzeczewiste.Tom 1, PWN, Warszava, 1958. |
| . |
