Curvature contraction of convex hypersurfaces by nonsmooth speeds
We consider contraction of convex hypersurfaces by convex speeds, homogeneous of degree one in the principal curvatures, that are not necessarily smooth. We show how to approximate such a speed by a sequence of smooth speeds for which behaviour is well known. By obtaining speed and curvature pinching estimates for the flows by the approximating speeds, independent of the smoothing parameter, we may pass to the limit to deduce that the flow by the nonsmooth speed converges to a point in...[Show more]
|Collections||ANU Research Publications|
|Source:||Journal für die reine und angewandte Mathematik (2014)|
|Andrews et. al. Curvature contraction of convex 2014.pdf||340.39 kB||Adobe PDF|
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