Extension of Two-Dimensional Mean Curvature Flow with Free Boundary
Journal
Journal of Geometric Analysis
Journal Volume
31
Journal Issue
2
Pages
1568-1624
Date Issued
2021
Author(s)
Abstract
Given a mean curvature flow of compact, embedded C2 surfaces satisfying Neumann free boundary condition on a mean convex, smooth support surface in 3-dimensional Euclidean space, we show that it can be extended as long as its mean curvature and perimeter stay uniformly bounded along the flow. ? 2019, Mathematica Josephina, Inc.
SDGs
Type
journal article