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.