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Article Dans Une Revue Indiana University Mathematics Journal Année : 2008

Young measure, superposition and transport

Résumé

We discuss a space of Young measures in connection with some variational problems. We use it to present a proof of the Theorem of Tonelli on the existence of minimizing curves. We generalize a recent result of Ambrosio, Gigli and Savaré on the decomposition of the weak solutions of the transport equation. We also prove, in the context of Mather theory, the equality between Closed measures and Holonomic measures.
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Dates et versions

hal-00124907 , version 1 (16-01-2007)
hal-00124907 , version 2 (09-07-2008)
hal-00124907 , version 3 (04-01-2016)

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Citer

Patrick Bernard. Young measure, superposition and transport. Indiana University Mathematics Journal, 2008, 57 (1), pp.247-276. ⟨10.1512/iumj.2008.57.3163⟩. ⟨hal-00124907v3⟩
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