Finite number of traces for Mumford-Shah minimizers in dimension 2
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918151364542464 |
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| author | Labourie, Camille Lemenant, Antoine |
| author_facet | Labourie, Camille Lemenant, Antoine |
| contents | In this short note, we answer a question raised by E. De Giorgi, showing that a Mumford-Shah minimizer in dimension 2 can only admit three maximum limit values as approaching the singular set. This result stems from tools developed in the early 2000's by G. David, A. Bonnet, and J.-C. Léger. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24426 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite number of traces for Mumford-Shah minimizers in dimension 2 Labourie, Camille Lemenant, Antoine Analysis of PDEs In this short note, we answer a question raised by E. De Giorgi, showing that a Mumford-Shah minimizer in dimension 2 can only admit three maximum limit values as approaching the singular set. This result stems from tools developed in the early 2000's by G. David, A. Bonnet, and J.-C. Léger. |
| title | Finite number of traces for Mumford-Shah minimizers in dimension 2 |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.24426 |