Abbildungen harmonischer Räume mit Anwendung auf die Laplace- und Wärmeleitungsgleichung. (Mappings of harmonic spaces with applications to the Laplace equation and the heat equation)
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Publication:2543592
DOI10.5802/aif.386zbMath0208.13701OpenAlexW2042151242MaRDI QIDQ2543592
Publication date: 1971
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1971__21_3_203_0
Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Harmonic maps, etc. (58E20) Connections of harmonic functions with differential equations in higher dimensions (31B35) Connections of harmonic functions with differential equations in two dimensions (31A35)
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Perturbation of harmonic spaces ⋮ Charakterisierung von Produkten harmonischer Räume ⋮ Exceptional sets and harmonic morphisms ⋮ Harmonic morphisms applied to classical potential theory ⋮ boundary growth theorems for superharmonic functions
Cites Work
- Harmonic spaces and their potential theory
- Some properties of the balayage of measures on a harmonic space
- Allure à la frontière minimale d'une classe de transformations. Théorème de Doob généralisé
- Fegen und Dünnheit mit Anwendungen auf die Laplace-und Wärmeleitungsgleichung
- Compactifications of Harmonic Spaces