Strong traces for solutions to scalar conservation laws with general flux

Abstract

In this paper we consider bounded weak solutions u of scalar conservation laws, not necessarily of class BV , defined in a subset Ω ⊂ R+×R. We define a strong notion of trace at the boundary of Ω reached by L convergence for a large class of functionals of u, G(u). Those functionals G depend on the flux function of the conservation law and on the boundary… (More)

Cite this paper

@inproceedings{Kwon2006StrongTF, title={Strong traces for solutions to scalar conservation laws with general flux}, author={Young-sam Kwon and Alexis Vasseur}, year={2006} }