Local convexity estimates for mean curvature flow

Author:

Langford Mat1

Affiliation:

1. Department of Mathematics , University of Tennessee Knoxville , Knoxville TN, 37996-1320 , USA ; and School of Mathematical and Physical Sciences, The University of Newcastle, Newcastle, NSW, 2308, Australia

Abstract

Abstract We develop a local version of Huisken–Stampacchia iteration, using it to obtain local versions of the sharp asymptotic curvature pinching estimates for mean curvature flow. The local estimates we obtain do not depend on the quality of noncollapsing of the solution and the method adopted applies in a host of other settings.

Funder

Australian Research Council

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

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