Preprint 2009-019
Ultra-parabolic equations with rough coefficients. Entropy solutions and strong pre-compactness property
E.Yu. Panov
Abstract: Under some non-degeneracy condition we show that sequences of entropy solutions of a semi-linear ultra-parabolic equation are strongly pre-compact in the general case of a Caratheodory flux vector and a diffusion matrix. The proofs are based on localization principles for the parabolic H-measures corresponding to sequences of measure-valued functions.