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Abbildungen harmonischer Räume mit Anwendung auf die Laplace- und Wärmeleitungsgleichung. (Mappings of harmonic spaces with applications to the Laplace equation and the heat equation). (German) Zbl 0208.13701

31A35 Connections of harmonic functions with differential equations in two dimensions
58E20 Harmonic maps, etc.
35K05 Heat equation
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
31B35 Connections of harmonic functions with differential equations in higher dimensions
Full Text: DOI Numdam EuDML
[1] H. BAUER, Harmonische Räume und ihre potentialtheorie, Lecture Notes in Mathematics 22, Berlin-Heidelberg-New York, Springer 1966. · Zbl 0142.38402
[2] C. CONSTANTINESCU, Some properties of the balayage of measures on a harmonic space, Ann. Inst. Fourier 17/1 (1967), 273-293. · Zbl 0159.40804
[3] C. CONSTANTINESCU and A. CORNEA, Compactifications of harmonic spaces, Nagoya Math. J. 25 (1965), 1-57. · Zbl 0138.36701
[4] W. HANSEN, Fegen und Dünnheit mit anwendungen auf die Laplace- und Wärmeleitungsgleichung, Ann. Inst. Fourier 21/2 (1971), 79-121. · Zbl 0205.42704
[5] D. SIBONY, Allure à la frontière minimale d’une classe de transformations, Théorème de Doob généralisé. Ann. Inst. Fourier 18/2 (1969), 91-120. · Zbl 0182.15002
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