Mean Curvature Flows of Graphs with Neumann Boundary condition

2016/06/21 by Jinju Xu, Xu, Jinju · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Topological and Geometric Data Analysis #math.AP

paper · pdf · doi:10.48550/arxiv.1606.06392

11pages. This is an extended parabolic version of arxiv:1406.0046(published in Adv.Math.290(2016),1010-1039.)

arxiv created 2016/06/21 · openalex publication_date 2016/06/21 · arxiv updated 2016/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the mean curvature flow of graphs with Neumann boundary condition. The main aim is to use the maximum principle to get the boundary gradient estimate for solutions. In particular, we obtain the corresponding existence theorem for the mean curvature flow of graphs.

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