Laplacian with Respect to a Measure on the Riemannian Manifold and the Dirichlet problem. I-Reference-Cited by-同舟云学术

Laplacian with Respect to a Measure on the Riemannian Manifold and the Dirichlet problem. I

Published:2016-12 Issue:7 Volume:68 Page:1021-1033
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Bogdanskii Yu. V.,Potapenko A. Yu.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11253-016-1274-6.pdf

Reference18 articles.

1. L. Gross, “Potential theory on Hilbert space,” J. Funct. Anal., 1, 123–181 (1967).

2. Yu. L. Daletskii, “Infinite-dimensional elliptic operators and related parabolic equations,” Usp. Mat. Nauk, 22, No. 4, 3–54 (1967).

3. P. Lévy, Problémes Concrets d’Analyse Fonctionnelle, Gauthier, Paris (1951).

4. A. S. Nemirovskii and G. E. Shilov, “On the axiomatic description of the Laplace operator for functions on a Hilbert space,” Funkts. Anal. Prilozh., 3, No. 3, 79–85 (1969).

5. Yu. V. Bogdanskii, “The Cauchy problem for parabolic equations with essentially infinite-dimensional elliptic operators,” Ukr. Mat. Zh., 29, No. 6, 781–784 (1977); English translation : Ukr. Math. J., 29, No. 6, 578–581 (1977).

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