Epsilon-regularity for the Brakke flow with boundary
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909560449531904 |
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| author | Gasparetto, Carlo |
| author_facet | Gasparetto, Carlo |
| contents | We prove that, if a Brakke flow with boundary is close enough to a stationary half-plane with density one, then it is $C^{1,α}$. Our approach is based on viscosity techniques introduced by Savin in the context of elliptic equations. The same techniques can be used to give a proof of Brakke's (interior) regularity theorem which is alternative to the original one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_08830 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Epsilon-regularity for the Brakke flow with boundary Gasparetto, Carlo Analysis of PDEs Differential Geometry 53E10 (Primary) 35D40, 35B65 (Secondary) We prove that, if a Brakke flow with boundary is close enough to a stationary half-plane with density one, then it is $C^{1,α}$. Our approach is based on viscosity techniques introduced by Savin in the context of elliptic equations. The same techniques can be used to give a proof of Brakke's (interior) regularity theorem which is alternative to the original one. |
| title | Epsilon-regularity for the Brakke flow with boundary |
| topic | Analysis of PDEs Differential Geometry 53E10 (Primary) 35D40, 35B65 (Secondary) |
| url | https://arxiv.org/abs/2206.08830 |