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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 930–949
DOI: https://doi.org/10.17377/semi.2016.13.075 (Mi semr725) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differentical equations, dynamical systems and optimal control

Kinetic formulation of forward-backward parabolic equations

I. V. Kuznetsovab

a Lavrentyev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences, pr. Acad. Lavrentyeva 15, 630090, Novosibirsk, Russia
b Novosibirsk State University, Pirogova st., 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.075
Abstract: We have proved that Dirichlet boundary value problem for nonlinear forward-backward parabolic equation has the unique entropy solution. The main difficulty is that initial and final conditions must be formulated in the form of inequalities. We have used here kinetic formulation of the boundary value problem.
Keywords: entropy solution, kinetic solution, forward-backward parabolic equation.
Funding agency Grant number
Russian Science Foundation 15-11-20019
The work was partially supported by the grant RNF 15-11-20019.
Received July 21, 2016, published November 21, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35D30
Language: English
Citation: I. V. Kuznetsov, “Kinetic formulation of forward-backward parabolic equations”, Sib. Èlektron. Mat. Izv., 13 (2016), 930–949
Citation in format AMSBIB
\Bibitem{Kuz16}
\by I.~V.~Kuznetsov
\paper Kinetic formulation of forward-backward parabolic equations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 930--949
\mathnet{http://mi.mathnet.ru/semr725}
\crossref{https://doi.org/10.17377/semi.2016.13.075}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407781100075}
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    • This publication is cited in the following 5 articles:
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