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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.06162 |
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| _version_ | 1866909571830775808 |
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| author | Cagnetti, Filippo Morini, Massimiliano Reggiani, Dario |
| author_facet | Cagnetti, Filippo Morini, Massimiliano Reggiani, Dario |
| contents | In \cite{CMP17} a novel distributional approach has been introduced to provide a well-posed formulation of a class of crystalline mean curvature flows. In this paper, such an approach is extended to the nonlocal setting. Applications include the fractional mean curvature flow and the Minkowski flow; i.e., the geometric flow generated by the $(N-1)$-dimensional Minkowski pre-content. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06162 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A distributional approach to nonlocal curvature flows Cagnetti, Filippo Morini, Massimiliano Reggiani, Dario Analysis of PDEs 53E10 In \cite{CMP17} a novel distributional approach has been introduced to provide a well-posed formulation of a class of crystalline mean curvature flows. In this paper, such an approach is extended to the nonlocal setting. Applications include the fractional mean curvature flow and the Minkowski flow; i.e., the geometric flow generated by the $(N-1)$-dimensional Minkowski pre-content. |
| title | A distributional approach to nonlocal curvature flows |
| topic | Analysis of PDEs 53E10 |
| url | https://arxiv.org/abs/2504.06162 |