Gianni Dal Maso

Time-Dependent Systems of Generalized Young Measures <\div>

Abstract: The purpose of the talk is to introduce some new tools for the study of evolution problems in the framework of Young measures. The notion of time-dependent system of generalized Young measures allows to extend to this setting the classical notions of total variation and absolute continuity in a time interval, as well as the notion of time derivative. The main results are a Helly type theorem for sequences of systems of generalized Young measures and a theorem about the existence of the time derivative in the case of absolutely continuous dependence on time.