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Young measures, superposition and transport

Bernard, Patrick (2008), Young measures, superposition and transport, Indiana University Mathematics Journal, 57, 1, p. 247-276. http://dx.doi.org/10.1512/iumj.2008.57.3163

Type
Article accepté pour publication ou publié
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http://hal.archives-ouvertes.fr/hal-00124907/en/
Date
2008
Nom de la revue
Indiana University Mathematics Journal
Volume
57
Numéro
1
Éditeur
Bloomington, Ind.
Pages
247-276
Identifiant publication
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Auteur(s)
Bernard, Patrick cc
Résumé (EN)
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.
Mots-clés
Equations différentielles