Sharp Interior Gradient Estimate for Area Decreasing Graphical Mean Curvature Flow in Arbitrary Codimension

TL;DR

This paper establishes a precise interior gradient estimate for area decreasing graphical mean curvature flow in any codimension, extending previous results to a more general setting.

Contribution

It provides the first sharp interior gradient estimate for this flow in arbitrary codimension, broadening the scope of existing geometric analysis techniques.

Findings

Proved the sharp interior gradient estimate for the flow.

Generalized previous results to arbitrary codimension.

Enhanced understanding of geometric flow behavior.

Abstract

We prove the sharp interior gradient estimate for area decreasing graphical mean curvature flow in arbitrary codimension, which generalizes the result in \cite{CM}.