An e-regularity result for optimal transport maps between continuous densities

Michael Goldman

doi:10.4171/RLM/922

An e-regularity result for optimal transport maps between continuous densities

Michael Goldman

Laboratoire de Probabilités et Modèles Aléatoires

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.

Original language	English
Pages (from-to)	971-979
Number of pages	9
Journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume	31
Issue number	4
DOIs	https://doi.org/10.4171/RLM/922
Publication status	Published - 1 Jan 2020
Externally published	Yes

Keywords

Monge-Ampère equation
Optimal transport
Partial regularity

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10.4171/RLM/922

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An e-regularity result for optimal transport maps between continuous densities

Abstract

Keywords

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