Title:
|
The third boundary value problem in potential theory (English) |
Author:
|
Netuka, Ivan |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
22 |
Issue:
|
4 |
Year:
|
1972 |
Pages:
|
554-580 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
MSC:
|
31B20 |
MSC:
|
47A50 |
idZBL:
|
Zbl 0242.31007 |
idMR:
|
MR0313528 |
DOI:
|
10.21136/CMJ.1972.101126 |
. |
Date available:
|
2008-06-09T13:58:44Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101126 |
. |
Reference:
|
[1] M. Brelot: Eléments de la théorie classique du potentiel.Les cours de Sorbonne, Paris, 1959. Zbl 0084.30903, MR 0106366 |
Reference:
|
[2] Ju. D. Burago, V. G. Mazja: S: ome questions in potential theory and function theory for regions with irregular boundaries.(Russian), Zapiski nauč. sem. Leningrad, otd. MIAN 3 (1967). |
Reference:
|
[3] Ju. D. Burago V. G. Mazja, V. D. Sapoznikova: On the theory of potentials of a double and a simple layer for regions with irregular boundaries.(Russian), Problems Math. Anal. Boundary Value Problems Integr. Equations (Russian), 3 - 34, Izdat. Leningrad. Univ.,Leningrad, 1966. MR 0213596 |
Reference:
|
[4] J. Král: The Fredholm method in potential theory.Trans. Amer. Math. Soc. 125 (1966), 511-547. MR 0209503, 10.2307/1994580 |
Reference:
|
[5] N. L. Landkof: Fundamentals of modern potential theory.(Russian), Izdat. Nauka, Moscow, 1966. MR 0214795 |
Reference:
|
[6] I. Netuka: The Robin problem in potential theory.Comment. Math. Univ. Carolinae 12 (1971), 205-211. Zbl 0215.42602, MR 0287021 |
Reference:
|
[7] I. Netuka: Generalized Robin problem in potential theory.Czechoslovak Math. J. 22 (97) (1972), 312-324. Zbl 0241.31008, MR 0294673 |
Reference:
|
[8] I. Netuka: An operator connected with the third boundary value problem in potential theory.Czechoslovak Math. J. 22 (97) (1972), 462-489. Zbl 0241.31009, MR 0316733 |
Reference:
|
[9] J. Plemelj: Potentialtheoretische Untersuchungen.Leipzig, 1911. |
Reference:
|
[10] J. Radon: Über die Randwertaufgaben beim logaritmischen Potential.Sitzungsber. Akad. Wiss. Wien (2a) 128 (1919), 1123-1167. |
Reference:
|
[11] F. Riesz, B. Sz. Nagy: Leçons d'analyse fonctionelle.Budapest, 1952. |
Reference:
|
[12] S. Saks: Theory of the integral.Hafner Publishing Соmp., New York, 1937. Zbl 0017.30004 |
Reference:
|
[13] V. D. Sapoznikova: Solution of the third boundary value problem by the method of potential theory for regions with irregular boundaries (Russian).Problems Math. Anal. Boundary Value Problems Integr. Equations (Russian), 35-44, Izdat. Leningrad. Univ., Leningrad, 1966. MR 0213597 |
Reference:
|
[14] L. Schwartz: Théorie des distributions.Hermann, Paris, 1950. Zbl 0037.07301, MR 0209834 |
Reference:
|
[15] K. Yosida: Functional analysis.Springer Verlag, Berlin, 1965. Zbl 0126.11504 |
. |