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Kral, Josef; Netuka, Ivan

Contractivity of C. Neumann’s operator in potential theory. (English) Zbl 0372.31004

J. Math. Anal. Appl. 61, 607-619 (1977).
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Cited in 3 Documents

MSC:

31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
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\textit{J. Kral} and \textit{I. Netuka}, J. Math. Anal. Appl. 61, 607--619 (1977; Zbl 0372.31004)
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[2] Federer, H., The Gauss-Green theorem, Trans. Amer. Math. Soc., 58, 44-76 (1945) · Zbl 0060.14102
[3] Kellog, O. D., Foundations of Potential Theory (1929), Springer: Springer Berlin, (reissued in 1953 by Dover Publications, New York)
[4] Kleinman, R. E.; Wendland, W. L., On Neumann’s method for the exterior Neumann problem for the Helmholtz equation, J. Math. Anal. Appl., 57, 170-202 (1977) · Zbl 0351.35022
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[8] Netuka, I., Fredholm radius of a potential theoretic operator for convex sets, Časopis Pěst. Mat., 100, 374-383 (1975) · Zbl 0314.31006
[9] Neumann, C., Zur Theorie des logarithmischen und des Newtonschen Potentials, Berichte über die Verhandlungen der Königlich Sachsischen Gesellschaft der Wissenschaften zu Leipzig, 22, 264-321 (1870) · JFM 03.0493.01
[10] Neumann, C., Untersuchungen über das logarithmische und Newtonsche Potential (1877), Teubner: Teubner Leipzig · JFM 10.0658.05
[11] Neumann, C., Über die Methode des arithmetischen Mittels (1888), V. A. Steklov Mathematical Institute: V. A. Steklov Mathematical Institute Leipzig, (zweite Abhandlung) · JFM 20.1015.01
[12] Plemelj, J., Potentialtheoretische Untersuchungen, (Preisschriften der Fürstlich Jablonowskischen Gesellschaft zu Leipzig (1911), Teubner: Teubner Leipzig) · JFM 42.0828.10
[13] Riesz, F.; Nagy, B. Sz, Leçons d’analyse fonctionnelle (1972), Akadémiai Kiadó: Akadémiai Kiadó Budapest · Zbl 0122.11205
[14] Schober, G., Neumann’s lemma, (Proc. Amer. Math. Soc., 19 (1968)), 306-311 · Zbl 0159.40601
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