Preprint 2009-027
Existence and Uniqueness for Multidimensional Scalar Conservation Law with Discontinuous Flux
Darko Mitrovic
Abstract: We prove existence and uniqueness of an entropy solution to a multidimensional scalar conservation law with discontinuous flux with no structural hypothesis on the flux. The proof is based on the corresponding kinetic formulation of the considered equation and a “smart” change of an unknown function.