首页|Sobolev regularity for optimal transport maps of non-convex planar domains

Sobolev regularity for optimal transport maps of non-convex planar domains

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英文摘要

We prove a sharp global $W^{2,\,p}$ estimate for potentials of optimal transport maps that take a certain class of non-convex planar domains to convex ones.

作者：Connor Mooney、Arghya Rakshit

作者单位：

学科分类：数学

推荐引用：Connor Mooney,Arghya Rakshit.Sobolev regularity for optimal transport maps of non-convex planar domains[EB/OL].(2023-06-13)[2025-07-25].https://arxiv.org/abs/2306.08139.点此复制

Sobolev regularity for optimal transport maps of non-convex planar domains

Sobolev regularity for optimal transport maps of non-convex planar domains

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