An operator connected with the third boundary value problem in potential theory

Ivan Netuka

Czechoslovak Mathematical Journal (1972)

  • Volume: 22, Issue: 3, page 462-489
  • ISSN: 0011-4642

How to cite

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Netuka, Ivan. "An operator connected with the third boundary value problem in potential theory." Czechoslovak Mathematical Journal 22.3 (1972): 462-489. <http://eudml.org/doc/12675>.

@article{Netuka1972,
author = {Netuka, Ivan},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {3},
pages = {462-489},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An operator connected with the third boundary value problem in potential theory},
url = {http://eudml.org/doc/12675},
volume = {22},
year = {1972},
}

TY - JOUR
AU - Netuka, Ivan
TI - An operator connected with the third boundary value problem in potential theory
JO - Czechoslovak Mathematical Journal
PY - 1972
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 3
SP - 462
EP - 489
LA - eng
UR - http://eudml.org/doc/12675
ER -

References

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  1. M. G. Arsove, 10.1137/1002039, SIAM Review 2 (1960), 177-184. (1960) Zbl0094.08005MR0143926DOI10.1137/1002039
  2. E. De Giorgi, Nuovi teoremi relativi alle misure (r - l)-dimensionali in uno spazio ad r dimensioni, Ricerche di Matematica 4 (1955), 95-113. (1955) MR0074499
  3. N. Dunford, J. T. Schwartz, Linear operators, Part I, Interscience Publishers, New York, 1958. (1958) Zbl0084.10402MR0117523
  4. H. Federer, 10.1090/S0002-9947-1945-0013786-6, Trans. Amer. Math. Soc. 58 (1945), 44 - 76. (1945) Zbl0060.14102MR0013786DOI10.1090/S0002-9947-1945-0013786-6
  5. H. Federer, The (Ф, k) rectifiable subset of n space, Trans. Amer. Math. Soc. 62 (1947), 114-192. (1947) MR0022594
  6. H. Féderer, 10.1090/S0002-9939-1958-0095245-2, Proc. Amer. Math. Soc. 9 (1958), 447-451. (1958) MR0095245DOI10.1090/S0002-9939-1958-0095245-2
  7. H. Federer, 10.1090/S0002-9947-1959-0110078-1, Trans. Amer. Math. Soc. 93 (1959), 418-491. (1959) Zbl0089.38402MR0110078DOI10.1090/S0002-9947-1959-0110078-1
  8. W. H. Fleming, Functions of several variables, Addison-Wesley Publishing Соmp., INC., 1965. (1965) Zbl0136.34301MR0174675
  9. J. Král, 10.2307/1994580, Trans. Amer. Math. Soc. 125 (1966), 511-547. (1966) MR0209503DOI10.2307/1994580
  10. J. Král, Flows of heat and the Fourier problem, , Czechoslovak Math. J. 20 (1970), 556-598. (1970) MR0271554
  11. K. Kuratowski, 10.1016/B978-0-12-429201-7.50006-5, vol. I, Academic Press, 1966. (1966) Zbl0163.17002MR0217751DOI10.1016/B978-0-12-429201-7.50006-5
  12. N. S. Landkof, Fundamentals of modern potential theory, (Russian), Izdat. Nauka, Moscow, 1966. (1966) MR0214795
  13. J. W. Milnor, Topology from the differentiable viewpoint, The University Press of Virginia, 1965. (1965) Zbl0136.20402MR0226651
  14. M. Miranda, Distribuzioni aventi derivate misure, Insiemi di perimetro localmente finito, Ann. Scuola Norm. Sup. Pisa 18 (1964), 27-56. (1964) Zbl0131.11802MR0165073
  15. I. Netuka, The Robin problem in potential theory, Comment. Math. Univ. Carolinae 12 (1971), 205-211. (1971) Zbl0215.42602MR0287021
  16. I. Netuka, Generalized Robin problem in potential theory, Czechoslovak Math. J. 22 (1972), 312-324. (1972) Zbl0241.31008MR0294673
  17. I. Netuka, The third boundary value problem in potential theory, Czechoslovak Math. J. 22 (1972) (to appear). (1972) Zbl0242.31007MR0313528
  18. V. D. Sapoznikova, Solution of the third boundary value problem by the method of potential theory for regions with irregular boundaries, (Russian), Problems Mat. Anal. Boundary Value Problems Integr. Equations (Russian), 35-44, Izdat. Leningrad. Univ., Leningrad, MR0213597

Citations in EuDML Documents

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  1. Ivan Netuka, The third boundary value problem in potential theory
  2. Josef Král, Stanislav Mrzena, Heat sources and heat potentials
  3. Josef Král, A note on the Robin problem in potential theory (Preliminary communication)
  4. Eva Pokorná, Harmonic functions on convex sets and single layer potentials
  5. Ivan Netuka, Fredholm radius of a potential theoretic operator for convex sets
  6. Ivan Netuka, Generalized Robin problem in potential theory
  7. Dagmar Medková, Solution of the Robin problem for the Laplace equation
  8. Dagmar Medková, The boundary-value problems for Laplace equation and domains with nonsmooth boundary
  9. Ivan Netuka, Double layer potentials and the Dirichlet problem
  10. Dagmar Medková, The third boundary value problem in potential theory for domains with a piecewise smooth boundary

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