Global regularity of optimal mappings in non-convex domains
classification
🧮 math.AP
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domainsglobaloptimalregularityconvexresultargumentauthors
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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.
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