Strong traces for solutions to scalar conservation laws with general flux

In this paper we consider bounded weak solutions u of scalar conservation laws, not necessarily of class BV, defined in a subset ohm R+ x R. We define a strong notion of trace at the boundary of ohm reached by L-1 convergence for a large class of functionals of u, G(u). The functionals G depend on the flux function of the conservation law and on the boundary of ohm. The result holds for a general flux function and a general subset.