April 23, 2024

Free boundary regularity in the fully nonlinear parabolic thin obstacle problem

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Resumen

Abstract We study the regularity of the free boundary in the fully nonlinear parabolic thin obstacle problem. Under the assumption of time semiconvexity, our main result establishes that the free boundary is a C 1 C^1 graph in x near any regular free boundary point.

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Hu et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6e092b6db64358765bb3c https://doi.org/https://doi.org/10.1515/acv-2023-0126

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