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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 710–731
DOI: https://doi.org/10.17377/semi.2017.14.061 (Mi semr818) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Differentical equations, dynamical systems and optimal control

Genuinely nonlinear forward-backward ultra-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.2017.14.061
Abstract: In this paper we have proved the existence and uniqueness of entropy solutions to the Dirichlet problem for genuinely nonlinear forward-backward ultra-parabolic equations. We have used a kinetic formulation of entropy solutions which enables also to prove the existence of their traces in the $L^1$ sense.
Keywords: entropy solution, forward-backward ultra-parabolic equation, kinetic formulation.
Funding agency Grant number
Russian Science Foundation 15-11-20019
The work was supported by the Russian Science Foundation (grant no. 15-11-20019).
Received May 3, 2017, published August 1, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35K70
Language: English
Citation: I. V. Kuznetsov, “Genuinely nonlinear forward-backward ultra-parabolic equations”, Sib. Èlektron. Mat. Izv., 14 (2017), 710–731
Citation in format AMSBIB
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\by I.~V.~Kuznetsov
\paper Genuinely nonlinear forward-backward ultra-parabolic equations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 710--731
\mathnet{http://mi.mathnet.ru/semr818}
\crossref{https://doi.org/10.17377/semi.2017.14.061}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200061}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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