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arXiv · 2410.06230

Pointwise Schauder estimates for optimal transport maps of rough densities

Arghya Rakshit
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Abstract

We prove a pointwise $C^{2,\,\alpha}$ estimate for the potential of the optimal transport map in the case that the densities are only close to constant in a certain $L^p$ sense.

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Arghya Rakshit. 2024-10-08. Pointwise Schauder estimates for optimal transport maps of rough densities. https://arxiv.org/abs/2410.06230

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