Obstacle problems for the elastic flow and related topics
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911339246518272 |
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| author | Yoshizawa, Kensuke |
| author_facet | Yoshizawa, Kensuke |
| contents | In this note, we study an obstacle problem for the elastic flow. We prove the local-in-time existence of weak solutions and discuss their relation to classical solutions when additional regularity is obtained. Related results concerning obstacle problems for the bending energy are also collected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21802 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Obstacle problems for the elastic flow and related topics Yoshizawa, Kensuke Analysis of PDEs In this note, we study an obstacle problem for the elastic flow. We prove the local-in-time existence of weak solutions and discuss their relation to classical solutions when additional regularity is obtained. Related results concerning obstacle problems for the bending energy are also collected. |
| title | Obstacle problems for the elastic flow and related topics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.21802 |