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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 384, Pages 238–266 (Mi znsl3894)  
This article is cited in 4 scientific papers (total in 4 papers)

The probabilistic representation of the decisions of a class of evolution equations

N. V. Smorodina, M. M. Faddeev

St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia
Full-text PDF (288 kB) Citations (4)
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Abstract: We consider a class of pseudo-differential operators acting on test functions as a convolution with a given generalized function. For evolution families with generators from this class we construct an analog of a probabilistic representation. Bibl. 9 titles.
Key words and phrases: random measures, pseudo-process, evolution equation, generalized function.
Received: 18.10.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 2, Pages 239–254
DOI: https://doi.org/10.1007/s10958-011-0415-6
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: N. V. Smorodina, M. M. Faddeev, “The probabilistic representation of the decisions of a class of evolution equations”, Probability and statistics. Part 16, Zap. Nauchn. Sem. POMI, 384, POMI, St. Petersburg, 2010, 238–266; J. Math. Sci. (N. Y.), 176:2 (2011), 239–254
Citation in format AMSBIB
\Bibitem{SmoFad10}
\by N.~V.~Smorodina, M.~M.~Faddeev
\paper The probabilistic representation of the decisions of a~class of evolution equations
\inbook Probability and statistics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 384
\pages 238--266
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3894}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 2
\pages 239--254
\crossref{https://doi.org/10.1007/s10958-011-0415-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959548083}
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  • https://www.mathnet.ru/eng/znsl/v384/p238
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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