Young measures, superposition and transport
Dynamical Systems
2008-07-09 v2
Abstract
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 Savar\'e 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.
Cite
@article{arxiv.math/0701451,
title = {Young measures, superposition and transport},
author = {Patrick Bernard},
journal= {arXiv preprint arXiv:math/0701451},
year = {2008}
}