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Hauptverfasser: Allen, Mark, Bokolo-Tamba, Gilles
Format: Preprint
Veröffentlicht: 2025
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2508.15997
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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