# Boundary regularity for mean curvature flows of higher codimension

## TL;DR

This paper establishes global bounds on the H"older norm of the gradient for solutions to graphic mean curvature flow with boundaries of any codimension, advancing understanding of boundary regularity in geometric flows.

## Contribution

It provides new global boundary regularity estimates for mean curvature flows of higher codimension, a previously less understood area.

## Key findings

- Derived global H"older norm bounds for gradient solutions
- Extended boundary regularity results to arbitrary codimension
- Improved understanding of geometric flow regularity at boundaries

## Abstract

In this paper, we derive global bounds for the H\"older norm of the gradient of solutions of graphic mean curvature flow with boundary of arbitrary codimension.