Regularity of monotone transport maps between unbounded domains
Analysis of PDEs
2019-02-21 v1 Functional Analysis
Abstract
The regularity of monotone transport maps plays an important role in several applications to PDE and geometry. Unfortunately, the classical statements on this subject are restricted to the case when the measures are compactly supported. In this note we show that, in several situations of interest, one can to ensure the regularity of monotone maps even if the measures may have unbounded supports.
Keywords
Cite
@article{arxiv.1902.07621,
title = {Regularity of monotone transport maps between unbounded domains},
author = {Dario Cordero-Erausquin and Alessio Figalli},
journal= {arXiv preprint arXiv:1902.07621},
year = {2019}
}