Weak formulation of the MTW condition and convexity properties of potentials
نویسندگان
چکیده
We simplify the geometric interpretation of weak Ma-Trudinger-Wang condition for regularity in optimal transportation and provide a proof global c-convexity locally $c$-convex potentials when cost function $c$ is only assumed twice differentiable.
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ژورنال
عنوان ژورنال: Methods and applications of analysis
سال: 2021
ISSN: ['1073-2772', '1945-0001']
DOI: https://doi.org/10.4310/maa.2021.v28.n1.a4