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Teoriya Veroyatnostei i ee Primeneniya, 1958, Volume 3, Issue 4, Pages 430–451 (Mi tvp4947)  

This article is cited in 20 scientific papers (total in 20 papers)

Diffusion Processes and Elliptic Differential Equations Degenerating at the Boundary of the Domain

R. Z. Khas'minskii

Moscow
Abstract: In this paper Markov diffusion processes with continuous paths are studied. We give the definitions of attracting, repelling, unattainable and regular boundaries.
Effective sufficient conditions for each type expressed in terms of the coefficients of the equation (2) are given also. These conditions are also necessary for additional assumptions.
Received: 18.04.1958
English version:
Theory of Probability and its Applications, 1958, Volume 3, Issue 4, Pages 400–419
DOI: https://doi.org/10.1137/1103033
Document Type: Article
Language: Russian
Citation: R. Z. Khas'minskii, “Diffusion Processes and Elliptic Differential Equations Degenerating at the Boundary of the Domain”, Teor. Veroyatnost. i Primenen., 3:4 (1958), 430–451; Theory Probab. Appl., 3:4 (1958), 400–419
Citation in format AMSBIB
\Bibitem{Kha58}
\by R.~Z.~Khas'minskii
\paper Diffusion Processes and Elliptic Differential Equations Degenerating at the Boundary of the Domain
\jour Teor. Veroyatnost. i Primenen.
\yr 1958
\vol 3
\issue 4
\pages 430--451
\mathnet{http://mi.mathnet.ru/tvp4947}
\transl
\jour Theory Probab. Appl.
\yr 1958
\vol 3
\issue 4
\pages 400--419
\crossref{https://doi.org/10.1137/1103033}
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  • https://www.mathnet.ru/eng/tvp/v3/i4/p430
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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