Mathematics – Functional Analysis
Scientific paper
2005-12-16
Mathematics
Functional Analysis
32 pages
Scientific paper
In this paper some new tools for the study of evolution problems in the framework of Young measures are introduced. A suitable notion of time-dependent system of generalized Young measures is defined, which allows to extend the classical notions of total variation and absolute continuity with respect to time, 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 for systems with bounded variation with respect to time.
DeSimone Antonio
Maso Gianni Dal
Mora Maria Giovanna
Morini Marco
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