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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 1311–1319
DOI: https://doi.org/10.17377/semi.2018.15.107 (Mi semr998) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differentical equations, dynamical systems and optimal control

Initial boundary value problem for a nonlocal in time parabolic equation

V. N. Starovoitov

Lavrentyev Institute of Hydrodynamics, pr. Lavrentyeva, 15, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.107
Abstract: This paper deals with a quasi-linear parabolic partial differential equation that includes a nonlocal in time term. This term contains the integral of the solution over the entire time interval, where the problem is considered. The weak solvability of the initial boundary value problem for this equation is proven.
Keywords: nonlocal in time parabolic equation, initial boundary value problem, solvability.
Received August 31, 2018, published October 30, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
MSC: 35K58
Language: English
Citation: V. N. Starovoitov, “Initial boundary value problem for a nonlocal in time parabolic equation”, Sib. Èlektron. Mat. Izv., 15 (2018), 1311–1319
Citation in format AMSBIB
\Bibitem{Sta18}
\by V.~N.~Starovoitov
\paper Initial boundary value problem for a nonlocal in time parabolic equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1311--1319
\mathnet{http://mi.mathnet.ru/semr998}
\crossref{https://doi.org/10.17377/semi.2018.15.107}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454860200049}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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