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Curvature contraction of convex hypersurfaces by nonsmooth speeds

Andrews, Ben; Holder, Andrew; McCoy, James; Wheeler, Glen; Wheeler, Valentina-Mira; Williams, Graham

Description

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]

CollectionsANU Research Publications
Date published: 2014-09
Type: Journal article
URI: http://hdl.handle.net/1885/12321
Source: Journal für die reine und angewandte Mathematik (2014)
DOI: 10.1515/crelle-2014-0087

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