Sequence solutions of the Dirichlet problem

Jiří Veselý

Časopis pro pěstování matematiky (1981)

  • Volume: 106, Issue: 1, page 84-93
  • ISSN: 0528-2195

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Veselý, Jiří. "Sequence solutions of the Dirichlet problem." Časopis pro pěstování matematiky 106.1 (1981): 84-93. <http://eudml.org/doc/19103>.

@article{Veselý1981,
author = {Veselý, Jiří},
journal = {Časopis pro pěstování matematiky},
keywords = {sequence solutions; Dirichlet problem; alternating method; axiomatic potential theories; axiomatics of Constantinescu and Cornea; superharmonic functions; positive Radon measure; mean value property},
language = {eng},
number = {1},
pages = {84-93},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Sequence solutions of the Dirichlet problem},
url = {http://eudml.org/doc/19103},
volume = {106},
year = {1981},
}

TY - JOUR
AU - Veselý, Jiří
TI - Sequence solutions of the Dirichlet problem
JO - Časopis pro pěstování matematiky
PY - 1981
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 106
IS - 1
SP - 84
EP - 93
LA - eng
KW - sequence solutions; Dirichlet problem; alternating method; axiomatic potential theories; axiomatics of Constantinescu and Cornea; superharmonic functions; positive Radon measure; mean value property
UR - http://eudml.org/doc/19103
ER -

References

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  1. H. Bauer, Šilovscher Rand und Dirichletsches Problem, Ann. Inst. Fourier II (1961), 89-136. (1961) Zbl0098.06902MR0136983
  2. H. Bauer, Harmonische Räume und ihre Potentialtheorie, Springer Ver., Berlin 1966. (1966) Zbl0142.38402MR0210916
  3. C. Carathéodory, On Dirichlet's problem, Amer. J. of Math. 59 (1937), 709-731. (1937) Zbl0017.26003MR1507274
  4. C. Constantinescu A. Cornea, Potential Theory on Harmonic Spaces, Springer Ver., New York 1972. (1972) Zbl0248.31011MR0419799
  5. A. Friedman, Parabolic equations of the second order, Trans. Amer. Math. Soc. 93 (1959), 509-530. (1959) Zbl0107.07601MR0113037
  6. 16] H. Lebesgue, Sur le problème de Dirichlet, C.R. Acad. Sci. Paris 154 (1912), 335-337. (1912) Zbl43.0368.02
  7. J. Lukeš I. Netuka, The Wiener type solution of the Dirichlet problem in potential theory, Math. Ann. 224 (1976), 173-178. (1976) Zbl0319.31009MR0422652
  8. O. D. Kellog, Converses of Gauss' Theorem on the Arithmetic Mean, Trans. Amer. Math. Soc. 36 (1934), 227-242. (1934) Zbl60.0430.01MR1501739
  9. 19] I. Netuka, Harmonic functions and mean value theorems, (Czech), Čas. pro pěst. mat. 100 (1975), 391-409. (1975) MR0463461
  10. F. W. Perkins, Sur la résolution du problème de Dirichlet par des médiations reiterees, C.R. Acad. Sci. Paris, 184 (1927), 182-183. (1927) Zbl53.0462.01
  11. H., U. Schirmeier, Einige Bemerkungen über den Satz von Keldych, Math. Ann. 236 (1978), 245-254. (1978) Zbl0365.31002MR0504660
  12. E. P. Smyrnélis, Sur les moyennes des functions paraboliques, Bull. Sci. Math., 2e ser. 93 (1969), 163-173. (1969) Zbl0203.09701MR0277901
  13. W. A. Veech, A converse to the mean value theorem for harmonic functions, Amer. J. of Math. 97 (1976), 1007-1027. (1976) Zbl0324.31002MR0393521
  14. N. A. Watson, A Theory of Subtemperatures in Several Variables, Proc. London Math. Soc. 26 (1973), 385-417. (1973) Zbl0253.35045MR0315289
  15. N. A. Watson, Green functions, potentials, and the Dirichlet problem for the heat equation, Proc. London Math. Soc. 33 (1976), 251-298. (1976) Zbl0336.35046MR0425145

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