The third boundary value problem in potential theory

Ivan Netuka

Czechoslovak Mathematical Journal (1972)

  • Volume: 22, Issue: 4, page 554-580
  • ISSN: 0011-4642

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Netuka, Ivan. "The third boundary value problem in potential theory." Czechoslovak Mathematical Journal 22.4 (1972): 554-580. <http://eudml.org/doc/12684>.

@article{Netuka1972,
author = {Netuka, Ivan},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {554-580},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The third boundary value problem in potential theory},
url = {http://eudml.org/doc/12684},
volume = {22},
year = {1972},
}

TY - JOUR
AU - Netuka, Ivan
TI - 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 - 4
SP - 554
EP - 580
LA - eng
UR - http://eudml.org/doc/12684
ER -

References

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  1. M. Brelot, Eléments de la théorie classique du potentiel, Les cours de Sorbonne, Paris, 1959. (1959) Zbl0084.30903MR0106366
  2. Ju. D. Burago, V. G. Mazja: S, ome questions in potential theory and function theory for regions with irregular boundaries, (Russian), Zapiski nauč. sem. Leningrad, otd. MIAN 3 (1967). (1967) 
  3. Ju. D. Burago V. G. Mazja, V. D. Sapoznikova, On the theory of potentials of a double and a simple layer for regions with irregular boundaries, (Russian), Problems Math. Anal. Boundary Value Problems Integr. Equations (Russian), 3 - 34, Izdat. Leningrad. Univ.,Leningrad, 1966. (1966) MR0213596
  4. J. Král, 10.2307/1994580, Trans. Amer. Math. Soc. 125 (1966), 511-547. (1966) MR0209503DOI10.2307/1994580
  5. N. L. Landkof, Fundamentals of modern potential theory, (Russian), Izdat. Nauka, Moscow, 1966. (1966) MR0214795
  6. I. Netuka, The Robin problem in potential theory, Comment. Math. Univ. Carolinae 12 (1971), 205-211. (1971) Zbl0215.42602MR0287021
  7. I. Netuka, Generalized Robin problem in potential theory, Czechoslovak Math. J. 22 (97) (1972), 312-324. (1972) Zbl0241.31008MR0294673
  8. I. Netuka, An operator connected with the third boundary value problem in potential theory, Czechoslovak Math. J. 22 (97) (1972), 462-489. (1972) Zbl0241.31009MR0316733
  9. J. Plemelj, Potentialtheoretische Untersuchungen, Leipzig, 1911. (1911) 
  10. J. Radon, Über die Randwertaufgaben beim logaritmischen Potential, Sitzungsber. Akad. Wiss. Wien (2a) 128 (1919), 1123-1167. (1919) 
  11. F. Riesz, B. Sz. Nagy, Leçons d'analyse fonctionelle, Budapest, 1952. (1952) 
  12. S. Saks, Theory of the integral, Hafner Publishing Соmp., New York, 1937. (1937) Zbl0017.30004
  13. V. D. Sapoznikova, Solution of the third boundary value problem by the method of potential theory for regions with irregular boundaries (Russian), Problems Math. Anal. Boundary Value Problems Integr. Equations (Russian), 35-44, Izdat. Leningrad. Univ., Leningrad, 1966. (1966) MR0213597
  14. L. Schwartz, Théorie des distributions, Hermann, Paris, 1950. (1950) Zbl0037.07301MR0209834
  15. K. Yosida, Functional analysis, Springer Verlag, Berlin, 1965. (1965) Zbl0126.11504

Citations in EuDML Documents

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  1. Ivan Netuka, A mixed boundary value problem for heat potentials (Preliminary communication)
  2. Josef Král, A note on the Robin problem in potential theory (Preliminary communication)
  3. Dagmar Medková, Solution of the Neumann problem for the Laplace equation
  4. Eva Pokorná, Harmonic functions on convex sets and single layer potentials
  5. Ivan Netuka, An operator connected with the third boundary value problem in potential theory
  6. Josef Král, Dagmar Medková, Essential norms of a potential theoretic boundary integral operator in L 1
  7. Ivan Netuka, Generalized Robin problem in potential theory
  8. Dagmar Medková, Solution of the Robin problem for the Laplace equation
  9. Dagmar Medková, The boundary-value problems for Laplace equation and domains with nonsmooth boundary
  10. Ivan Netuka, Double layer potentials and the Dirichlet problem

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