RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 1958, Volume 3, Issue 4, Pages 430–451 (Mi tvp4947)

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.

Full text: PDF file (2372 kB)

English version:
Theory of Probability and its Applications, 1958, 3:4, 400–419

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} 

• http://mi.mathnet.ru/eng/tvp4947
• http://mi.mathnet.ru/eng/tvp/v3/i4/p430

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. M. I. Freidlin, “On the smoothness of solutions of degenerate elliptic equations”, Math. USSR-Izv., 2:6 (1968), 1337–1359
2. T. V. Maizenberg, “The Dirichlet problem for certain integro-differential equations”, Math. USSR-Izv., 3:3 (1969), 537–557