| Title:
|
An operator connected with 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:
|
3 |
| Year:
|
1972 |
| Pages:
|
462-489 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
31B20 |
| idZBL:
|
Zbl 0241.31009 |
| idMR:
|
MR0316733 |
| DOI:
|
10.21136/CMJ.1972.101116 |
| . |
| Date available:
|
2008-06-09T13:58:04Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101116 |
| . |
| Reference:
|
[1] M. G. Arsove: Continuous potentials and linear mass distributions.SIAM Review 2 (1960), 177-184. Zbl 0094.08005, MR 0143926, 10.1137/1002039 |
| Reference:
|
[2] E. De Giorgi: Nuovi teoremi relativi alle misure (r - l)-dimensionali in uno spazio ad r dimensioni.Ricerche di Matematica 4 (1955), 95-113. MR 0074499 |
| Reference:
|
[3] N. Dunford, J. T. Schwartz: Linear operators.Part I, Interscience Publishers, New York, 1958. Zbl 0084.10402, MR 0117523 |
| Reference:
|
[4] H. Federer: The Gauss-Green theorem.Trans. Amer. Math. Soc. 58 (1945), 44 - 76. Zbl 0060.14102, MR 0013786, 10.1090/S0002-9947-1945-0013786-6 |
| Reference:
|
[5] H. Federer: The (Ф, k) rectifiable subset of n space.Trans. Amer. Math. Soc. 62 (1947), 114-192. MR 0022594 |
| Reference:
|
[6] H. Féderer: A note on the Gauss-Green theorem.Proc. Amer. Math. Soc. 9 (1958), 447-451. MR 0095245, 10.1090/S0002-9939-1958-0095245-2 |
| Reference:
|
[7] H. Federer: Curvature measures.Trans. Amer. Math. Soc. 93 (1959), 418-491. Zbl 0089.38402, MR 0110078, 10.1090/S0002-9947-1959-0110078-1 |
| Reference:
|
[8] W. H. Fleming: Functions of several variables.Addison-Wesley Publishing Соmp., INC., 1965. Zbl 0136.34301, MR 0174675 |
| Reference:
|
[9] J. Král: The Fredholm method in potential theory.Trans. Amer. Math. Soc. 125 (1966), 511-547. MR 0209503, 10.2307/1994580 |
| Reference:
|
[10] J. Král: Flows of heat and the Fourier problem., Czechoslovak Math. J. 20 (1970), 556-598. MR 0271554 |
| Reference:
|
[11] K. Kuratowski: Topology.vol. I, Academic Press, 1966. Zbl 0163.17002, MR 0217751, 10.1016/B978-0-12-429201-7.50006-5 |
| Reference:
|
[12] N. S. Landkof: Fundamentals of modern potential theory.(Russian), Izdat. Nauka, Moscow, 1966. MR 0214795 |
| Reference:
|
[13] J. W. Milnor: Topology from the differentiable viewpoint.The University Press of Virginia, 1965. Zbl 0136.20402, MR 0226651 |
| Reference:
|
[14] M. Miranda: Distribuzioni aventi derivate misure, Insiemi di perimetro localmente finito.Ann. Scuola Norm. Sup. Pisa 18 (1964), 27-56. Zbl 0131.11802, MR 0165073 |
| Reference:
|
[15] I. Netuka: The Robin problem in potential theory.Comment. Math. Univ. Carolinae 12 (1971), 205-211. Zbl 0215.42602, MR 0287021 |
| Reference:
|
[16] I. Netuka: Generalized Robin problem in potential theory.Czechoslovak Math. J. 22 (1972), 312-324. Zbl 0241.31008, MR 0294673 |
| Reference:
|
[17] I. Netuka: The third boundary value problem in potential theory.Czechoslovak Math. J. 22 (1972) (to appear). Zbl 0242.31007, MR 0313528 |
| Reference:
|
[18] V. D. Sapoznikova: Solution of the third boundary value problem by the method of potential theory for regions with irregular boundaries.(Russian), Problems Mat. Anal. Boundary Value Problems Integr. Equations (Russian), 35-44, Izdat. Leningrad. Univ., Leningrad, MR 0213597 |
| . |
