Free boundary partial regularity in the thin obstacle problem
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866909186079588352 |
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| author | Franceschini, Federico Serra, Joaquim |
| author_facet | Franceschini, Federico Serra, Joaquim |
| contents | For the thin obstacle problem in $\mathbb{R}^n$, $n\geq 2$, we prove that at all free boundary points, with the exception of a $(n-3)$-dimensional set, the solution differs from its blow-up by higher order corrections. This expansion entails a $C^{1,1}$-type free boundary regularity result, up to a codimension 3 set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_11104 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Free boundary partial regularity in the thin obstacle problem Franceschini, Federico Serra, Joaquim Analysis of PDEs For the thin obstacle problem in $\mathbb{R}^n$, $n\geq 2$, we prove that at all free boundary points, with the exception of a $(n-3)$-dimensional set, the solution differs from its blow-up by higher order corrections. This expansion entails a $C^{1,1}$-type free boundary regularity result, up to a codimension 3 set. |
| title | Free boundary partial regularity in the thin obstacle problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2112.11104 |