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Young measures, superposition and transport

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Date
2008
Link to item file
http://hal.archives-ouvertes.fr/hal-00124907/en/
Dewey
Analyse
Sujet
Equations différentielles
Journal issue
Indiana University Mathematics Journal
Volume
57
Number
1
Publication date
2008
Article pages
247-276
Publisher
Bloomington, Ind.
DOI
http://dx.doi.org/10.1512/iumj.2008.57.3163
URI
https://basepub.dauphine.fr/handle/123456789/894
Collections
  • CEREMADE : Publications
Metadata
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Author
Bernard, Patrick
Type
Article accepté pour publication ou publié
Abstract (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.

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