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Netuka, Ivan

The third boundary value problem in potential theory. (English) Zbl 0242.31007

Czech. Math. J. 22(97), 554-580 (1972).
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Cited in 12 Documents

MSC:

31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
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\textit{I. Netuka}, Czech. Math. J. 22(97), 554--580 (1972; Zbl 0242.31007)
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References:

[1] M. Brelot: Eléments de la théorie classique du potentiel. Les cours de Sorbonne, Paris, 1959. · Zbl 0084.30903
[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).
[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.
[4] J. Král: The Fredholm method in potential theory. Trans. Amer. Math. Soc. 125 (1966), 511-547. · Zbl 0149.07906
[5] N. L. Landkof: Fundamentals of modern potential theory. (Russian), Izdat. Nauka, Moscow, 1966.
[6] I. Netuka: The Robin problem in potential theory. Comment. Math. Univ. Carolinae 12 (1971), 205-211. · Zbl 0215.42602
[7] I. Netuka: Generalized Robin problem in potential theory. Czechoslovak Math. J. 22 (97) (1972), 312-324. · Zbl 0241.31008
[8] I. Netuka: An operator connected with the third boundary value problem in potential theory. Czechoslovak Math. J. 22 (97) (1972), 462-489. · Zbl 0241.31009
[9] J. Plemelj: Potentialtheoretische Untersuchungen. Leipzig, 1911. · JFM 42.0828.10
[10] J. Radon: Über die Randwertaufgaben beim logaritmischen Potential. Sitzungsber. Akad. Wiss. Wien (2a) 128 (1919), 1123-1167.
[11] F. Riesz, B. Sz. Nagy: Leçons d’analyse fonctionelle. Budapest, 1952. · Zbl 0046.33103
[12] S. Saks: Theory of the integral. Hafner Publishing Comp., New York, 1937. · Zbl 0017.30004
[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.
[14] L. Schwartz: Théorie des distributions. Hermann, Paris, 1950. · Zbl 0037.07301
[15] K. Yosida: Functional analysis. Springer Verlag, Berlin, 1965. · Zbl 0126.11504
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