SOBOLEV REGULARITY FOR OPTIMAL TRANSPORT MAPS OF NONCONVEX PLANAR DOMAINS

被引：0
作者：
Mooney, Connor [1 ]
Rakshit, Arghya [1 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2024年 / 56卷 / 04期
关键词：
optimal transport; Monge--Ampe`; re equation; regularity; MONGE-AMPERE EQUATION;
D O I：
10.1137/23M1582436
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a sharp global W 2, p estimate for potentials of optimal transport maps that take a certain class of nonconvex planar domains to convex ones.
引用
收藏
页码：4742 / 4758
页数：17
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