I. V. Kuznetsov, “Strong Traces for Entropy Solutions of Second Order Differential Forward-Backward Parabolic Equations”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2014, Volume 14, Issue 1,Pages <nobr>44

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Strong Traces for Entropy Solutions of Second Order Differential Forward-Backward Parabolic Equations

I. V. Kuznetsov^ab

^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.

UDC: 517.95

Received: 15.09.2013