Surfaces contracting with speed |A|^2

Abstract

We show that strictly convex surfaces contracting with normal velocity equal to |A|^2 shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We indicate how we used a computer to find the main test function.

41 pages; minor corrections

References in corpus (2)

• Fully nonlinear parabolic equations in two space variables
• Pinching estimates and motion of hypersurfaces by curvature functions