Strong traces for entropy solutions of heterogeneous ultra-parabolic equations
Jelena Aleksić and Darko Mitrovic
Abstract: We prove that entropy solutions of heterogeneous ultra-parabolic equations satisfying a traceability condition admit strong traces at t = 0. In particular, this property is satisfied by entropy solutions to heterogeneous scalar conservation laws. The tools that we are using are (Panov’s extension of) H-measures and the kinetic approach.