| Title:
|
Sequence solutions of the Dirichlet problem (English) |
| Author:
|
Veselý, Jiří |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
106 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
84-93 |
| . |
| Category:
|
math |
| . |
| MSC:
|
31D05 |
| idZBL:
|
Zbl 0466.31018 |
| idMR:
|
MR613711 |
| DOI:
|
10.21136/CPM.1981.108273 |
| . |
| Date available:
|
2009-09-23T09:07:56Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108273 |
| . |
| Reference:
|
[1] H. Bauer: Šilovscher Rand und Dirichletsches Problem.Ann. Inst. Fourier II (1961), 89-136. Zbl 0098.06902, MR 0136983 |
| Reference:
|
[2] H. Bauer: Harmonische Räume und ihre Potentialtheorie.Springer Ver., Berlin 1966. Zbl 0142.38402, MR 0210916 |
| Reference:
|
[3] C. Carathéodory: On Dirichlet's problem.Amer. J. of Math. 59 (1937), 709-731. Zbl 0017.26003, MR 1507274 |
| Reference:
|
[4] C. Constantinescu A. Cornea: Potential Theory on Harmonic Spaces.Springer Ver., New York 1972. MR 0419799 |
| Reference:
|
[5] A. Friedman: Parabolic equations of the second order.Trans. Amer. Math. Soc. 93 (1959), 509-530. Zbl 0107.07601, MR 0113037 |
| Reference:
|
16] H. Lebesgue: Sur le problème de Dirichlet.C.R. Acad. Sci. Paris 154 (1912), 335-337. |
| Reference:
|
[7] J. Lukeš I. Netuka: The Wiener type solution of the Dirichlet problem in potential theory.Math. Ann. 224 (1976), 173-178. MR 0422652 |
| Reference:
|
[8] O. D. Kellog: Converses of Gauss' Theorem on the Arithmetic Mean.Trans. Amer. Math. Soc. 36 (1934), 227-242. MR 1501739 |
| Reference:
|
19] I. Netuka: Harmonic functions and mean value theorems.(Czech), Čas. pro pěst. mat. 100 (1975), 391-409. MR 0463461 |
| Reference:
|
[10] F. W. Perkins: Sur la résolution du problème de Dirichlet par des médiations reiterees.C.R. Acad. Sci. Paris, 184 (1927), 182-183. |
| Reference:
|
[11] H., U. Schirmeier: Einige Bemerkungen über den Satz von Keldych.Math. Ann. 236 (1978), 245-254. Zbl 0365.31002, MR 0504660 |
| Reference:
|
[12] E. P. Smyrnélis: Sur les moyennes des functions paraboliques.Bull. Sci. Math., 2e ser. 93 (1969), 163-173. MR 0277901 |
| Reference:
|
[13] W. A. Veech: A converse to the mean value theorem for harmonic functions.Amer. J. of Math. 97 (1976), 1007-1027. Zbl 0324.31002, MR 0393521 |
| Reference:
|
[14] N. A. Watson: A Theory of Subtemperatures in Several Variables.Proc. London Math. Soc. 26 (1973), 385-417. Zbl 0253.35045, MR 0315289 |
| Reference:
|
[15] N. A. Watson: Green functions, potentials, and the Dirichlet problem for the heat equation.Proc. London Math. Soc. 33 (1976), 251-298. Zbl 0336.35046, MR 0425145 |
| . |
