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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2404.06712 |
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| _version_ | 1866909165188808704 |
|---|---|
| author | Wang, Yamin |
| author_facet | Wang, Yamin |
| contents | We study the regularity of the free boundary in one-phase Stefan problem with nonlinear operator. Using the Hodograph transform and a linearization technique, we prove that flat free boundaries are $C^{1, α}$ in space and time. When the operator is concave (or convex) and smooth, the free boundary is smooth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free boundary regularity in nonlinear one-phase Stefan problem Wang, Yamin Analysis of PDEs We study the regularity of the free boundary in one-phase Stefan problem with nonlinear operator. Using the Hodograph transform and a linearization technique, we prove that flat free boundaries are $C^{1, α}$ in space and time. When the operator is concave (or convex) and smooth, the free boundary is smooth. |
| title | Free boundary regularity in nonlinear one-phase Stefan problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.06712 |