Published Paper
Inserted: 8 aug 2024
Last Updated: 19 aug 2024
Journal: Adv. Nonlinear Stud.
Year: 2023
Abstract:
In this note, we extend the regularity theory for monotone measurepreserving 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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