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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.05580 |
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| _version_ | 1866929247546769408 |
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| author | Eichmann, Sascha |
| author_facet | Eichmann, Sascha |
| contents | To avoid possible singularities in the Willmore flow, one usually works under an energy threshold provided by the Li-Yau inequality. Here we improve this threshold by also considering parts outside of a possible singularity together with Dirichlet boundary data. We work in the class of surfaces of revolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05580 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improved long time existence for the Willmore flow of surfaces of revolution with Dirichlet data Eichmann, Sascha Analysis of PDEs To avoid possible singularities in the Willmore flow, one usually works under an energy threshold provided by the Li-Yau inequality. Here we improve this threshold by also considering parts outside of a possible singularity together with Dirichlet boundary data. We work in the class of surfaces of revolution. |
| title | Improved long time existence for the Willmore flow of surfaces of revolution with Dirichlet data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.05580 |