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Non-collapsing in homogeneity greater than one via a two-point method for a special case
Published online by Cambridge University Press: 24 January 2019
Abstract
We study the mechanism of proving non-collapsing in the context of extrinsic curvature flows via the maximum principle in combination with a suitable two-point function in homogeneity greater than one. Our paper serves as the first step in this direction and we consider the case of a curve which is C2-close to a circle initially and which flows by a power greater than one of the curvature along its normal vector.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 6 , December 2019 , pp. 1627 - 1635
- Copyright
- Copyright © Royal Society of Edinburgh 2019