Regularity of the free boundary in an unstable parabolic problem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914000770433024 |
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| author | Allen, Mark Bokolo-Tamba, Gilles |
| author_facet | Allen, Mark Bokolo-Tamba, Gilles |
| contents | We study the free boundary in an unstable parabolic problem arising from a model in combustion. We consider the physical situation in which the heat advances and prove that the free boundary is a $C^{1,α/2}$ hypersurface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularity of the free boundary in an unstable parabolic problem Allen, Mark Bokolo-Tamba, Gilles Analysis of PDEs 35R35, 35K05 We study the free boundary in an unstable parabolic problem arising from a model in combustion. We consider the physical situation in which the heat advances and prove that the free boundary is a $C^{1,α/2}$ hypersurface. |
| title | Regularity of the free boundary in an unstable parabolic problem |
| topic | Analysis of PDEs 35R35, 35K05 |
| url | https://arxiv.org/abs/2508.15997 |