Some reverse inequality in optimal mass transportation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911390393958400 |
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| author | De Pascale, Luigi Pinheiro, Igor |
| author_facet | De Pascale, Luigi Pinheiro, Igor |
| contents | Controlling the $\mathcal W_\infty$ Wasserstein distance by the $\mathcal W_p$ Wasserstein distance is interesting both for theorical and numerical applications. A first paper on this problem was written several years ago [3]. Some year later [14] framed it in the same inequality for more general costs which increase with the distance. In this paper, we prove this type of inequality for optimal transport problems with pointwise cost which is a decreasing function of the distance. We show, in particular, that there is a general framework that encompasses all the cases above. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15218 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some reverse inequality in optimal mass transportation De Pascale, Luigi Pinheiro, Igor Optimization and Control Analysis of PDEs Controlling the $\mathcal W_\infty$ Wasserstein distance by the $\mathcal W_p$ Wasserstein distance is interesting both for theorical and numerical applications. A first paper on this problem was written several years ago [3]. Some year later [14] framed it in the same inequality for more general costs which increase with the distance. In this paper, we prove this type of inequality for optimal transport problems with pointwise cost which is a decreasing function of the distance. We show, in particular, that there is a general framework that encompasses all the cases above. |
| title | Some reverse inequality in optimal mass transportation |
| topic | Optimization and Control Analysis of PDEs |
| url | https://arxiv.org/abs/2601.15218 |