Regularity Properties of Monotone Measure-preserving Maps

Autor:	Figalli, Alessio, Jhaveri, Yash
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this note, we extend the regularity theory for monotone measure-preserving maps, also known as optimal transports for the quadratic cost optimal transport problem, to the case when the support of the target measure is an arbitrary convex domain and, on the low-regularity end, between domains carrying certain invariant measures.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.09001 Zobrazit plný text záznamu View this record from Arxiv