On the regularity of the polar factorization for time dependent maps
Analysis of PDEs
2016-09-07 v2
Abstract
We consider the polar factorization of vector valued mappings introduced by Y. Brenier. In the case of a family of mappings depending on a parameter. We investigate the regularity with respect to this parameter of the terms of the polar factorization by constructing some a priori bounds. To do so, we consider the linearization of the associated Monge-Ampere equation which we view as a conservation law.
Cite
@article{arxiv.math/0306431,
title = {On the regularity of the polar factorization for time dependent maps},
author = {G. Loeper},
journal= {arXiv preprint arXiv:math/0306431},
year = {2016}
}
Comments
17 pages