In:
Journal für die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter GmbH, Vol. 2017, No. 727 ( 2017-6-1), p. 169-190
Abstract:
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 finite time that, under a suitable rescaling, is round in the C 2 {C^{2}} sense, with the convergence being exponential.
Type of Medium:
Online Resource
ISSN:
1435-5345
,
0075-4102
DOI:
10.1515/crelle-2014-0087
Language:
English
Publisher:
Walter de Gruyter GmbH
Publication Date:
2017
detail.hit.zdb_id:
2193867-2
detail.hit.zdb_id:
1468592-9
detail.hit.zdb_id:
3079-X
SSG:
17,1
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