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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 8, Pages 69–76 (Mi fpm1101)  

A necessary and sufficient condition for the global-in-time existence of solutions to stochastic differential and parabolic equations on manifolds

Yu. E. Gliklikh

Voronezh State University
References:
Abstract: A necessary and sufficient condition of one-sided type for the completeness of a stochastic flow and the corresponding diffusion semigroup on a manifold $M$ is found under the assumption that the space $C_0(M)$ of functions is invariant.
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 159, Issue 6, Pages 794–798
DOI: https://doi.org/10.1007/s10958-009-9471-6
Bibliographic databases:
UDC: 515.168
Language: Russian
Citation: Yu. E. Gliklikh, “A necessary and sufficient condition for the global-in-time existence of solutions to stochastic differential and parabolic equations on manifolds”, Fundam. Prikl. Mat., 13:8 (2007), 69–76; J. Math. Sci., 159:6 (2009), 794–798
Citation in format AMSBIB
\Bibitem{Gli07}
\by Yu.~E.~Gliklikh
\paper A~necessary and sufficient condition for the global-in-time existence of solutions to stochastic differential and parabolic equations on manifolds
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 8
\pages 69--76
\mathnet{http://mi.mathnet.ru/fpm1101}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2475582}
\zmath{https://zbmath.org/?q=an:1183.58022}
\transl
\jour J. Math. Sci.
\yr 2009
\vol 159
\issue 6
\pages 794--798
\crossref{https://doi.org/10.1007/s10958-009-9471-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349249185}
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    Фундаментальная и прикладная математика
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