Free boundary regularity in the fully nonlinear parabolic thin obstacle problem-Reference-Cited by-同舟云学术

Free boundary regularity in the fully nonlinear parabolic thin obstacle problem

Published:2024-04-24 Issue: Volume: Page:
ISSN:1864-8258
Container-title:Advances in Calculus of Variations
language:en
Short-container-title:

Author:

Hu Xi¹,Tang Lin²

Affiliation:

1. LMAM , School of Mathematical Sciences , Laboratory of Mathematics and Complex Systems, Ministry of Education , Beijing Normal University , Beijing , 100875 , P. R. China

2. LMAM , School of Mathematical Sciences , 198149 Peking University , Beijing , 100871 , P. R. China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/acv-2023-0126/pdf

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