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We consider a conservation law in the domain Ω ⊂ ℝ n+1 with C 1 boundary ∂Ω. For a wide class of functions including generalized entropy sub- and super-solutions, we prove the existence of strong traces for normal components of the entropy fluxes on ∂Ω. Non-degeneracy conditions on the flux are not required.
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Evgeny Yu. Panov (2007) studied this question.
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