Preprint 2007-009
Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux
E.Yu. Panov
Abstract: Sequences of entropy solutions of a non-degenerate first-order quasilinear equation are shown to be strongly pre-compact in the general case of a Caratheodory flux vector. Existence of the weak and entropy solution to Cauchy problem for such equation is also established. The proofs are based on general localization principle for H-measures corresponding to sequences of measure-valued functions.