Event

Talk
Maintaining graphical representation for mean curvature flow
Dr. Ananda Lahiri (AEI)
13 Apr 2015, 14:30 – 15:30

We consider a family of hypersurfaces in Euclidean space that moves by mean curvature flow. Suppose the initial surface is graphical inside a cylinder. By continuity in time it is clear that the flow will remain graphical inside the cylinder of half the radius for a period of time. Here we will show a lower bound on the length of this time period, depending only on the initial graphical representation.