Generic uniqueness of expanders with vanishing relative entropy
Differential Geometry
2020-04-24 v2 Analysis of PDEs
Abstract
We define a relative entropy for two expanding solutions to mean curvature flow of hypersurfaces, asymptotic to the same cone at infinity. Adapting work of White and using recent results of Bernstein and Bernstein-Wang, we show that expanders with vanishing relative entropy are unique in a generic sense. This also implies that generically locally entropy minimising expanders are unique.
Keywords
Cite
@article{arxiv.1812.08504,
title = {Generic uniqueness of expanders with vanishing relative entropy},
author = {Alix Deruelle and Felix Schulze},
journal= {arXiv preprint arXiv:1812.08504},
year = {2020}
}
Comments
31 pages. Final version, to appear in Math. Annalen