Global regularity of optimal mappings in non-convex domains

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（11）
• 页码范围: 2057-2072
• 页数: 16页
• 语种: 英文

摘要

In this paper,we establish a global regularity result for the optimal transport problem with the quadratic cost,where the domains may not be convex.This result is obtained by a perturbation argument,using a recent global regularity of optimal transportation in convex domains by the authors.