Free boundary regularity in the fully nonlinear parabolic thin obstacle problem

IF 1.3 3区数学 Q1 MATHEMATICS

Advances in Calculus of Variations Pub Date : 2024-04-24 DOI:10.1515/acv-2023-0126

Xi Hu, Lin Tang

引用次数: 0

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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全非线性抛物线薄障碍物问题中的自由边界正则性

我们研究了全非线性抛物线薄障碍物问题中自由边界的正则性。在时间半凸假设下，我们的主要结果确定了自由边界是任何正则自由边界点附近 x 中的 C 1 C^{1} 图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Calculus of Variations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.90

自引率

5.90%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Calculus of Variations publishes high quality original research focusing on that part of calculus of variation and related applications which combines tools and methods from partial differential equations with geometrical techniques.