单调保测度映射的正则性性质

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2023-01-01 DOI:10.1515/ans-2022-0057

A. Figalli, Yash Jhaveri

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引用次数: 1

摘要

摘要在本文中，我们将单调保测度映射的正则性理论（也称为二次代价最优传输问题的最优传输）扩展到目标测度的支持是任意凸域的情况，并且在低正则性端，在具有某些不变测度的域之间。

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Regularity properties of monotone measure-preserving maps

Abstract 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.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.