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Moving surfaces by non-concave curvature functions

Andrews, Benjamin


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.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Calculus of Variations and Partial Differential Equations
DOI: 10.1007/s00526-010-0329-z


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