On the extension of the mean curvature flow

Nam Q. Le, Natasa Sesum

Consider a family of smooth immersions $F(\cdot ,t):M^n\to {\mathbb{R}}^{n+1}$ of closed hypersurfaces in ${\mathbb{R}}^{n+1}$ moving by the mean curvature flow $\frac{\partial F(p,t)}…