A note on global regularity in optimal transportion

Neil S. Trudinger

doi:10.1007/s13373-013-0046-y

A note on global regularity in optimal transportion

Neil S. Trudinger^*

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

We indicate how recent work of Figalli–Kim–McCann and Vetois can be used to improve previous results of Trudinger and Wang on classical solvability of the second boundary value problem for Monge–Ampère type partial differential equations arising in optimal transportation together with the global regularity of the associated optimal mappings.

Original language	English
Pages (from-to)	551-557
Number of pages	7
Journal	Bulletin of Mathematical Sciences
Volume	3
Issue number	3
DOIs	https://doi.org/10.1007/s13373-013-0046-y
Publication status	Published - 1 Jan 2013

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title = "A note on global regularity in optimal transportion",

abstract = "We indicate how recent work of Figalli–Kim–McCann and Vetois can be used to improve previous results of Trudinger and Wang on classical solvability of the second boundary value problem for Monge–Amp{\`e}re type partial differential equations arising in optimal transportation together with the global regularity of the associated optimal mappings.",

keywords = "Monge–Amp{\`e}re equations, Optimal transportation, Second boundary value problem",

author = "Trudinger, {Neil S.}",

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AU - Trudinger, Neil S.

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N2 - We indicate how recent work of Figalli–Kim–McCann and Vetois can be used to improve previous results of Trudinger and Wang on classical solvability of the second boundary value problem for Monge–Ampère type partial differential equations arising in optimal transportation together with the global regularity of the associated optimal mappings.

AB - We indicate how recent work of Figalli–Kim–McCann and Vetois can be used to improve previous results of Trudinger and Wang on classical solvability of the second boundary value problem for Monge–Ampère type partial differential equations arising in optimal transportation together with the global regularity of the associated optimal mappings.

KW - Monge–Ampère equations

KW - Optimal transportation

KW - Second boundary value problem

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DO - 10.1007/s13373-013-0046-y

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VL - 3

SP - 551

EP - 557

JO - Bulletin of Mathematical Sciences

JF - Bulletin of Mathematical Sciences

IS - 3

ER -

A note on global regularity in optimal transportion

Abstract

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