Double layer potentials and the Dirichlet problem

Ivan Netuka

Czechoslovak Mathematical Journal (1974)

  • Volume: 24, Issue: 1, page 59-73
  • ISSN: 0011-4642

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Netuka, Ivan. "Double layer potentials and the Dirichlet problem." Czechoslovak Mathematical Journal 24.1 (1974): 59-73. <http://eudml.org/doc/12768>.

@article{Netuka1974,
author = {Netuka, Ivan},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {59-73},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Double layer potentials and the Dirichlet problem},
url = {http://eudml.org/doc/12768},
volume = {24},
year = {1974},
}

TY - JOUR
AU - Netuka, Ivan
TI - Double layer potentials and the Dirichlet problem
JO - Czechoslovak Mathematical Journal
PY - 1974
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 1
SP - 59
EP - 73
LA - eng
UR - http://eudml.org/doc/12768
ER -

References

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  1. H. Bauer, Harmonische Räume und ihre Potentialtheorie, Springer Verlag, Berlin, 1966. (1966) Zbl0142.38402MR0210916
  2. N. Boboc С. Constantinescu, A. Cornea, On the Dirichlet problem in the axiomatic theory of harmonic functions, Nagoya Math. J. 23 (1963), 73-96. (1963) Zbl0139.06603MR0162957
  3. Ju. D. Burago, V. G. Mazja, Some questions in potential theory and function theory for regions with irregular boundaries, (Russian), Zapiski nauč. sem. Leningrad otd. MIAN 3 (1967). (1967) 
  4. M. Dont, Non-tangential limits of the double layer potentials, Časopis pro pěstování matematiky 97 (1972), 231-258. (1972) Zbl0237.31012MR0444975
  5. H. Federer, W. H. Fleming, 10.2307/1970227, Annals of Math. 72 (1960), 458-520. (1960) Zbl0187.31301MR0123260DOI10.2307/1970227
  6. L. L. Helms, Introduction to potential theory, Wiley-Interscience, New York, 1969. (1969) Zbl0188.17203MR0261018
  7. J. Köhn, M. Sieveking, 10.1007/BF01350789, Math. Ann. 177 (1968), 133-142. (1968) Zbl0165.13003MR0227445DOI10.1007/BF01350789
  8. J. Král, 10.2307/1994580, Trans. Amer. Math. Soc. 125 (1966), 511-547. (1966) MR0209503DOI10.2307/1994580
  9. J. Král, Flows of heat and the Fourier problem, Czechoslovak Math. J. 20 (95) (1970), 556-598. (1970) MR0271554
  10. J. Král, A note on the Robin problem in potential theory, Comment. Math. Univ. Carolinae (to appear). MR0333219
  11. I. Netuka, Generalized Robin problem in potential theory, Czechoslovak Math. J. 22 (97) (1972), 312-324. (1972) Zbl0241.31008MR0294673
  12. I. Netuka, An operator connected with the third boundary value problem in potential theory, ibid. 462-489. Zbl0241.31009MR0316733
  13. I. Netuka, The third boundary value problem in potential theory, ibid. 554-580. Zbl0383.31002MR0313528
  14. I. Netuka, Double layer potential representation of the solution of the Dirichlet problem, Comment. Math. Univ. Carolinae 14 (1973), 183-185. (1973) Zbl0255.31009MR0316725
  15. С. de la Vallée Poussin, Propriété des fonctions harmoniques dans un domaine ouvert limité par des surfaces à courbure borné, Ann. Scuola Norm. Sup. Pisa 2 (1933), 167-197. (1933) Zbl0006.30801
  16. Š. Schwabik, On an integral operator in the space of functions with bounded variation, Časopis pro pěstování matematiky 97 (1972), 297-330. (1972) Zbl0255.47057MR0450906
  17. R. Sikorski, Funkcje rzeczewiste, Tom 1, PWN, Warszava, 1958. (1958) 

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