Abstract
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principal curvatures remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the concavity of the speed as a function of principal curvatures. We also discuss motion by functions homogeneous of degree greater than 1 in the principal curvatures.
Original language | English |
---|---|
Pages (from-to) | 649-657 |
Number of pages | 9 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 39 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2010 |