Time-dependent systems of generalized Young measures | Zendy

Gianni Dal Maso | Zendy; Antonio DeSimone | Zendy; Maria Giovanna Mora | Zendy; Massimiliano Morini | Zendy

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Time-dependent systems of generalized Young measures

Author(s) -

Gianni Dal Maso,

Antonio DeSimone,

Maria Giovanna Mora,

Massimiliano Morini

Publication year - 2007

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2007.2.1

Subject(s) - bounded variation , bounded function , mathematics , variation (astronomy) , derivative (finance) , time derivative , pure mathematics , mathematical analysis , physics , astrophysics , financial economics , economics

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 us 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.

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