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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2410.06230 |
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| _version_ | 1866912355573563392 |
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| author | Rakshit, Arghya |
| author_facet | Rakshit, Arghya |
| contents | We prove a pointwise $C^{2,\,α}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06230 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pointwise Schauder estimates for optimal transport maps of rough densities Rakshit, Arghya Analysis of PDEs We prove a pointwise $C^{2,\,α}$ 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. |
| title | Pointwise Schauder estimates for optimal transport maps of rough densities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.06230 |