Mean Curvature Flows of Graphs with Neumann Boundary condition
Analysis of PDEs
2016-06-22 v1
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.
Keywords
Cite
@article{arxiv.1606.06392,
title = {Mean Curvature Flows of Graphs with Neumann Boundary condition},
author = {Jinju Xu},
journal= {arXiv preprint arXiv:1606.06392},
year = {2016}
}
Comments
11pages. This is an extended parabolic version of arxiv:1406.0046(published in Adv.Math.290(2016),1010-1039.)