Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.07535 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918466761523200 |
|---|---|
| author | Ferrari, Fausto Forcillo, Nicolò Giovagnoli, Davide Jesus, David |
| author_facet | Ferrari, Fausto Forcillo, Nicolò Giovagnoli, Davide Jesus, David |
| contents | In this paper, we prove that flat free boundaries of solutions to inhomogeneous one-phase Stefan problem are $C^{1,α}$. The method consists of employing a hodograph transform and deriving the regularity via a linearization technique, following the approach introduced by De Silva, Forcillo, and Savin in \cite{DFS23}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07535 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free boundary regularity for the inhomogeneous one-phase Stefan problem Ferrari, Fausto Forcillo, Nicolò Giovagnoli, Davide Jesus, David Analysis of PDEs 35R35, 35K55, 80A22 In this paper, we prove that flat free boundaries of solutions to inhomogeneous one-phase Stefan problem are $C^{1,α}$. The method consists of employing a hodograph transform and deriving the regularity via a linearization technique, following the approach introduced by De Silva, Forcillo, and Savin in \cite{DFS23}. |
| title | Free boundary regularity for the inhomogeneous one-phase Stefan problem |
| topic | Analysis of PDEs 35R35, 35K55, 80A22 |
| url | https://arxiv.org/abs/2404.07535 |