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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 6, Pages 1267–1284
DOI: https://doi.org/10.1070/IM1977v011n06ABEH001768 (Mi im2072) 		 
This article is cited in 62 scientific papers (total in 62 papers)

On the Cauchy problem for linear stochastic partial differential equations

N. V. Krylov, B. L. Rozovskii
English version PDF (728 kB) Citations (62) Russian version article
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DOI: https://doi.org/10.1070/IM1977v011n06ABEH001768
Abstract: The Cauchy problem for stochastic linear partial differential equations is studied. The basic result of the paper is a uniqueness and existence theorem for the solutions of equations of this type in Sobolev spaces $L_p(\Omega;C([0,T],W_p^m))$ ($m\geqslant1$, $p\geqslant2$).
Bibliography: 12 titles.
Received: 22.06.1976
Bibliographic databases:
UDC: 519.2
MSC: 60H15
Language: English
Original paper language: Russian
Citation: N. V. Krylov, B. L. Rozovskii, “On the Cauchy problem for linear stochastic partial differential equations”, Math. USSR-Izv., 11:6 (1977), 1267–1284
Citation in format AMSBIB
\Bibitem{KryRoz77}
\by N.~V.~Krylov, B.~L.~Rozovskii
\paper On the Cauchy problem for linear stochastic partial differential equations
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 6
\pages 1267--1284
\mathnet{http://mi.mathnet.ru//eng/im2072}
\crossref{https://doi.org/10.1070/IM1977v011n06ABEH001768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=501350}
\zmath{https://zbmath.org/?q=an:0371.60076|0396.60058}
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    • This publication is cited in the following 62 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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