Preprint 2008-022
On the strong pre-compactness property for entropy solutions of an ultra-parabolic equation with discontinuous flux
E.Yu. Panov
Abstract: Under some non-degeneracy condition we show that sequences of entropy solutions of a nonlinear ultra-parabolic equation are strongly pre-compact in the general case of a Caratheodory flux vector. The proofs are based on localization principles for H-measures corresponding to sequences of measure-valued functions.