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Mathematics of the USSR-Izvestiya, 1985, Volume 24, Issue 1, Pages 73–97
DOI: https://doi.org/10.1070/IM1985v024n01ABEH001214 (Mi im1419) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Singular parabolic equations and Markov processes

A. N. Kochubei
English version PDF (1000 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1985v024n01ABEH001214
Abstract: Analogues of fundamental solutions and corresponding transition functions of Markov processes are constructed for parabolic equations with unbounded discontinuous coefficients satisfying certain dissipation conditions. In particular, an analytic construction of a Markov process of a stochastic model of quantum mechanics is obtained.
Bibliography: 40 titles.
Received: 30.04.1982
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 1, Pages 77–103
Bibliographic databases:
UDC: 517.944+519.21
MSC: Primary 35K15, 60J25; Secondary 35R05
Language: English
Original paper language: Russian
Citation: A. N. Kochubei, “Singular parabolic equations and Markov processes”, Izv. Akad. Nauk SSSR Ser. Mat., 48:1 (1984), 77–103; Math. USSR-Izv., 24:1 (1985), 73–97
Citation in format AMSBIB
\Bibitem{Koc84}
\by A.~N.~Kochubei
\paper Singular parabolic equations and Markov processes
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 1
\pages 77--103
\mathnet{http://mi.mathnet.ru/im1419}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=733359}
\zmath{https://zbmath.org/?q=an:0599.35079|0545.35039}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 1
\pages 73--97
\crossref{https://doi.org/10.1070/IM1985v024n01ABEH001214}
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  • https://www.mathnet.ru/eng/im/v48/i1/p77
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:577
    Russian version PDF:150
    English version PDF:12
    References:84
    First page:1
     
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