Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung

Wolfhard Hansen

Annales de l'institut Fourier (1971)

  • Volume: 21, Issue: 3, page 203-216
  • ISSN: 0373-0956

Abstract

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This paper is devoted to a study of harmonic mappings φ of a harmonic space E ˜ on a harmonic space E which are related to a family of harmonic mappings of E ˜ into E ˜ . In this way balayage in E may be reduced to balayage in E . In particular, a subset A of E is polar if and only if φ - 1 ( A ) is polar. Similar result for thinness. These considerations are applied to the heat equation and the Laplace equation.

How to cite

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Hansen, Wolfhard. "Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung." Annales de l'institut Fourier 21.3 (1971): 203-216. <http://eudml.org/doc/74048>.

@article{Hansen1971,
author = {Hansen, Wolfhard},
journal = {Annales de l'institut Fourier},
language = {ger},
number = {3},
pages = {203-216},
publisher = {Association des Annales de l'Institut Fourier},
title = {Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung},
url = {http://eudml.org/doc/74048},
volume = {21},
year = {1971},
}

TY - JOUR
AU - Hansen, Wolfhard
TI - Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung
JO - Annales de l'institut Fourier
PY - 1971
PB - Association des Annales de l'Institut Fourier
VL - 21
IS - 3
SP - 203
EP - 216
LA - ger
UR - http://eudml.org/doc/74048
ER -

References

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  1. [1] H. BAUER, Harmonische Räume und ihre Potentialtheorie, Lecture Notes in Mathematics 22, Berlin-Heidelberg-New York, Springer 1966. Zbl0142.38402
  2. [2] C. CONSTANTINESCU, Some properties of the balayage of measures on a harmonic space, Ann. Inst. Fourier 17/1 (1967), 273-293. Zbl0159.40804MR37 #3033
  3. [3] C. CONSTANTINESCU and A. CORNEA, Compactifications of harmonic spaces, Nagoya Math. J. 25 (1965), 1-57. Zbl0138.36701MR30 #4960
  4. [4] W. HANSEN, Fegen und Dünnheit mit Anwendungen auf die Laplace- und Wärmeleitungsgleichung, Ann. Inst. Fourier 21/2 (1971), 79-121. Zbl0205.42704MR54 #3002
  5. [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. Zbl0182.15002MR40 #395

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