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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 220–237 (Mi znsl6395)  
This article is cited in 3 scientific papers (total in 3 papers)

A probabilistic representation of the Cauchy problem solution for an evolution equation with the differential operator of the order greater than 2

M. V. Platonova

Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (226 kB) Citations (3)
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Abstract: Let $m$ be a positive integer. We construct a probabilistic representation of the Cauchy problem solution for the high-order heat-type equation $\frac{\partial u}{\partial t}=c_m\frac{\partial^mu}{\partial^mx}$.
Key words and phrases: evolution equation, Cauchy problem, Poisson random measure.
Funding agency Grant number
Russian Science Foundation 14-21-00035
Received: 24.10.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 6, Pages 744–755
DOI: https://doi.org/10.1007/s10958-018-3714-3
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: M. V. Platonova, “A probabilistic representation of the Cauchy problem solution for an evolution equation with the differential operator of the order greater than 2”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 220–237; J. Math. Sci. (N. Y.), 229:6 (2018), 744–755
Citation in format AMSBIB
\Bibitem{Pla16}
\by M.~V.~Platonova
\paper A probabilistic representation of the Cauchy problem solution for an evolution equation with the differential operator of the order greater than~2
\inbook Probability and statistics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 454
\pages 220--237
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6395}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3602412}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 6
\pages 744--755
\crossref{https://doi.org/10.1007/s10958-018-3714-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042210000}
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  • https://www.mathnet.ru/eng/znsl/v454/p220
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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