Article
Full entry |
PDF
(0.7 MB)
Feedback
PDF
(0.7 MB)
Feedback
References:
[1] H. Bauer: Šilovscher Rand und Dirichletsches Problem. Ann. Inst. Fourier II (1961), 89-136. MR 0136983 | Zbl 0098.06902
[2] H. Bauer: Harmonische Räume und ihre Potentialtheorie. Springer Ver., Berlin 1966. MR 0210916 | Zbl 0142.38402
[3] C. Carathéodory: On Dirichlet's problem. Amer. J. of Math. 59 (1937), 709-731. MR 1507274 | Zbl 0017.26003
[4] C. Constantinescu A. Cornea: Potential Theory on Harmonic Spaces. Springer Ver., New York 1972. MR 0419799
[5] A. Friedman: Parabolic equations of the second order. Trans. Amer. Math. Soc. 93 (1959), 509-530. MR 0113037 | Zbl 0107.07601
16] H. Lebesgue: Sur le problème de Dirichlet. C.R. Acad. Sci. Paris 154 (1912), 335-337.
[7] J. Lukeš I. Netuka: The Wiener type solution of the Dirichlet problem in potential theory. Math. Ann. 224 (1976), 173-178. MR 0422652
[8] O. D. Kellog: Converses of Gauss' Theorem on the Arithmetic Mean. Trans. Amer. Math. Soc. 36 (1934), 227-242. MR 1501739
19] I. Netuka: Harmonic functions and mean value theorems. (Czech), Čas. pro pěst. mat. 100 (1975), 391-409. MR 0463461
[10] F. W. Perkins: Sur la résolution du problème de Dirichlet par des médiations reiterees. C.R. Acad. Sci. Paris, 184 (1927), 182-183.
[11] H., U. Schirmeier: Einige Bemerkungen über den Satz von Keldych. Math. Ann. 236 (1978), 245-254. MR 0504660 | Zbl 0365.31002
[12] E. P. Smyrnélis: Sur les moyennes des functions paraboliques. Bull. Sci. Math., 2e ser. 93 (1969), 163-173. MR 0277901
[13] W. A. Veech: A converse to the mean value theorem for harmonic functions. Amer. J. of Math. 97 (1976), 1007-1027. MR 0393521 | Zbl 0324.31002
[14] N. A. Watson: A Theory of Subtemperatures in Several Variables. Proc. London Math. Soc. 26 (1973), 385-417. MR 0315289 | Zbl 0253.35045
[15] N. A. Watson: Green functions, potentials, and the Dirichlet problem for the heat equation. Proc. London Math. Soc. 33 (1976), 251-298. MR 0425145 | Zbl 0336.35046
Search
Partner of
