Smooth compactness of elasticae
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918207285100544 |
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| author | Miura, Tatsuya |
| author_facet | Miura, Tatsuya |
| contents | We prove a smooth compactness theorem for the space of elasticae, unless the limit curve is a straight segment. As an application, we obtain smooth stability results for minimizers with respect to clamped boundary data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00725 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Smooth compactness of elasticae Miura, Tatsuya Analysis of PDEs Differential Geometry 49Q10 and 53A04 We prove a smooth compactness theorem for the space of elasticae, unless the limit curve is a straight segment. As an application, we obtain smooth stability results for minimizers with respect to clamped boundary data. |
| title | Smooth compactness of elasticae |
| topic | Analysis of PDEs Differential Geometry 49Q10 and 53A04 |
| url | https://arxiv.org/abs/2409.00725 |