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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2014, Volume 14, Issue 1, Pages 44–65
(Mi vngu326)
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This article is cited in 1 scientific paper (total in 1 paper)
Strong Traces for Entropy Solutions of Second Order Differential Forward-Backward Parabolic Equations
I. V. Kuznetsovab a M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
b Novosibirsk State University
Abstract:
It is proved that the entropy solution of the second order differential forward-backward parabolic equation has a strong trace in $L^1$ which can only partly coincide with boundary conditions.
Keywords:
entropy solution, forward-backward parabolic equation, $H$-measure.
Received: 15.09.2013
Citation:
I. V. Kuznetsov, “Strong Traces for Entropy Solutions of Second Order Differential Forward-Backward Parabolic Equations”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:1 (2014), 44–65; J. Math. Sci., 211:6 (2015), 767–788
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https://www.mathnet.ru/eng/vngu326 https://www.mathnet.ru/eng/vngu/v14/i1/p44
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Abstract page: | 327 | Full-text PDF : | 90 | References: | 62 | First page: | 14 |
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