Strong traces for solutions to scalar conservation laws with general flux
نویسندگان
چکیده
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 of Ω. The result holds for general flux function and general subset.
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تاریخ انتشار 2006