On the identity of Keldych solutions

Wolfhard Hansen

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 4, page 632-638
  • ISSN: 0011-4642

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Hansen, Wolfhard. "On the identity of Keldych solutions." Czechoslovak Mathematical Journal 35.4 (1985): 632-638. <http://eudml.org/doc/13547>.

@article{Hansen1985,
author = {Hansen, Wolfhard},
journal = {Czechoslovak Mathematical Journal},
keywords = {harmonic space; Dirichlet problem; Keldych operator; heat equation},
language = {eng},
number = {4},
pages = {632-638},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the identity of Keldych solutions},
url = {http://eudml.org/doc/13547},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Hansen, Wolfhard
TI - On the identity of Keldych solutions
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 4
SP - 632
EP - 638
LA - eng
KW - harmonic space; Dirichlet problem; Keldych operator; heat equation
UR - http://eudml.org/doc/13547
ER -

References

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  1. J. Bliedtner W. Hansen, 10.1007/BF01390188, Inventiones math. 29 (1975), 83-110. (1975) MR0387630DOI10.1007/BF01390188
  2. J. Bliedtner W. Hansen, 10.1007/BF01174726, Math. Z. 151 (1976), 71 - 87. (1976) MR0477099DOI10.1007/BF01174726
  3. J. Bliedtner W. Hansen, 10.1007/BF01390278, Inventiones math. 46 (1978), 255-275. (1978) MR0492345DOI10.1007/BF01390278
  4. J. Bliedtner W. Hansen, The weak Dirichlet problem, J. Reine Angew. Math. 348 (1984), 34-39. (1984) MR0733921
  5. M. Brelot, 10.1007/BF02786852, J. Analyse Math. 8 (1960/61), 273-288. (1960) MR0125245DOI10.1007/BF02786852
  6. W. Hansen, 10.1007/BF01456953, Math. Ann. 264 (1983), 437-446. (1983) Zbl0507.31003MR0716259DOI10.1007/BF01456953
  7. W. Hansen, 10.1215/ijm/1256045843, Illinois J. Math., 29(1985), 103-107. (1985) Zbl0545.31009MR0769760DOI10.1215/ijm/1256045843
  8. J. Hyvönen, 10.1007/BF01428802, Math. Ann. 245(1979), 151-157. (1979) MR0552584DOI10.1007/BF01428802
  9. M. V. Keldych, On the solvability and stability of the Dirichlet problem, (in russian), Usp. Mat. Nauk SSSR 8 (1941), 171-231. (1941) MR0005249
  10. J. Lukeš, Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques, Czech. Math. Journal 24 (1974), 114-125. (1974) MR0350046
  11. J. Lukeš, Functional approach to the Brelot-Keldych theorem, Czech. Math. Journal 27 (1977), 609-616. (1977) MR0588523
  12. J. Lukeš J. Malý, 10.1007/BF01456505, Math. Ann. 257 (1981), 355-366. (1981) MR0637957DOI10.1007/BF01456505
  13. J. Lukeš I. Netuka, 10.1007/BF01436200, Math. Ann. 224 (1976), 173-178. (1976) MR0422652DOI10.1007/BF01436200
  14. A. F. Monna, Het probleem van Dirichlet, Nieuw Arch. Wisk. 19 (1938), 249-256. (1938) 
  15. A. F. Monna, On the Dirichlet problem and the method of sweeping out, Nederl. Akad. Wetensch. Proc. 42 (1939), 491-498. (1939) Zbl0023.04403
  16. I. Netuka, The classical Dirichlet problem and its generalizations, Potential theory Copenhagen 1979, In: Lecture Notes in Mathematics, Vol. 787, Berlin, Heidelberg, New York: Springer 1980. (1979) MR0587843
  17. I. Netuka, 10.1080/00029890.1980.11995106, Amer. Math. Monthly 87 (1980), 621-628. (1980) Zbl0454.31002MR0600920DOI10.1080/00029890.1980.11995106
  18. N. Ninomiya, Sur le caractère fonctionelle de la solution du problème de Dirichlet, Math. J. Okayama Univ. 2 (1952), 41-48. (1952) MR0052596
  19. H. Schirmeier U. Schirmeier, 10.1007/BF01351370, Math. Ann. 236 (1978), 245-254. (1978) MR0504660DOI10.1007/BF01351370

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