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Preprint 2006-045

Existence of strong traces for quasi-solutions of multidimensional scalar conservation laws

E. Yu. Panov

Abstract: We consider a conservation law in the domain Ω⊂Rn+1 with C1 boundary ∂Ω. For the wide class of functions including generalized entropy sub- and super-solutions we prove existence of strong traces for normal components of the entropy fluxes on ∂Ω. No non-degeneracy conditions on the flux are required.

Paper:
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Author(s):
E. Yu. Panov,
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; 2006-11-19.
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Last modified: 2006-11-19 19:46 UTC