Partial regularity for optimal transport with p-cost away from fixed points
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866929418263330816 |
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| author | Goldman, Michael Koch, Lukas |
| author_facet | Goldman, Michael Koch, Lukas |
| contents | We consider maps $T$ solving the optimal transport problem with a cost $c(x-y)$ modeled on the $p$-cost. For Hölder continuous marginals, we prove a $C^{1,α}$-partial regularity result for $T $in the set $\{|T(x)-x|>0\}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08846 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Partial regularity for optimal transport with p-cost away from fixed points Goldman, Michael Koch, Lukas Analysis of PDEs We consider maps $T$ solving the optimal transport problem with a cost $c(x-y)$ modeled on the $p$-cost. For Hölder continuous marginals, we prove a $C^{1,α}$-partial regularity result for $T $in the set $\{|T(x)-x|>0\}$. |
| title | Partial regularity for optimal transport with p-cost away from fixed points |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.08846 |