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GENUINELY NONLINEAR FORWARD-BACKWARD ULTRA-PARABOLIC EQUATIONS Full article

Journal Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304
Output data Year: 2017, Volume: 14, Pages: 710-731 Pages count : 22 DOI: 10.17377/semi.2017.14.061
Authors Kuznetsov Ivan Vladimirovich 1
Affiliations
1 Lavrentyev Institute of Hydrodynamics

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 L1 sense.
Cite: Kuznetsov I.V.
GENUINELY NONLINEAR FORWARD-BACKWARD ULTRA-PARABOLIC EQUATIONS
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2017. V.14. P.710-731. DOI: 10.17377/semi.2017.14.061 WOS Scopus РИНЦ
Dates:
Submitted: May 3, 2017
Accepted: Aug 1, 2017
Identifiers:
Web of science: WOS:000407792200061
Scopus: 2-s2.0-85033213255
Elibrary: 54806777
Citing:
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Elibrary 7
Scopus 5
Web of science 4
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