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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.10920 |
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| _version_ | 1866914386449268736 |
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| author | Ishige, Kazuhiro Petitt, Troy Salani, Paolo |
| author_facet | Ishige, Kazuhiro Petitt, Troy Salani, Paolo |
| contents | We introduce the notion of F-convexity as a general extension of power convexity. We characterize the F-convexities preserved under the heat flow in the n-dimensional Euclidean space, and identify the strongest and the weakest ones among them. We also characterize the F-convexities preserved under the Dirichlet heat flow in convex domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10920 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Preservation of F-convexity under the heat flow Ishige, Kazuhiro Petitt, Troy Salani, Paolo Analysis of PDEs 35K05, 26B25 We introduce the notion of F-convexity as a general extension of power convexity. We characterize the F-convexities preserved under the heat flow in the n-dimensional Euclidean space, and identify the strongest and the weakest ones among them. We also characterize the F-convexities preserved under the Dirichlet heat flow in convex domains. |
| title | Preservation of F-convexity under the heat flow |
| topic | Analysis of PDEs 35K05, 26B25 |
| url | https://arxiv.org/abs/2603.10920 |