Boundary C1,α regularity of potential functions in optimal transportation with quadratic cost

Elina Andriyanova; Shibing Chen

doi:10.2140/apde.2016.9.1483

Boundary C^1,α regularity of potential functions in optimal transportation with quadratic cost

Elina Andriyanova, Shibing Chen

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

4 Citations (Scopus)

Abstract

We provide a different proof for the global C^1,α regularity of potential functions in the optimal transport problem, which was originally proved by Caffarelli. Our method applies to a more general class of domains.

Original language	English
Pages (from-to)	1483-1496
Number of pages	14
Journal	Analysis and PDE
Volume	9
Issue number	6
DOIs	https://doi.org/10.2140/apde.2016.9.1483
Publication status	Published - 2016

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title = "Boundary C1,α regularity of potential functions in optimal transportation with quadratic cost",

abstract = "We provide a different proof for the global C1,α regularity of potential functions in the optimal transport problem, which was originally proved by Caffarelli. Our method applies to a more general class of domains.",

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AU - Chen, Shibing

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KW - Boundary regularity

KW - Optimal transport

KW - Quadratic cost

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DO - 10.2140/apde.2016.9.1483

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VL - 9

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JO - Analysis and PDE

JF - Analysis and PDE

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Boundary C^1,α regularity of potential functions in optimal transportation with quadratic cost

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