Distributional solutions to mean curvature flow
Analysis of PDEs
2021-08-20 v1 Differential Geometry
Abstract
These lecture notes aim to present some of the ideas behind the recent (conditional) existence and (weak-strong) uniqueness theory for mean curvature flow. Focusing on the simplest case of the evolution of a single closed hypersurface allows for a self-contained and concise presentation, which is accessible for beginning graduate students with some background in PDEs and only requires basic measure theory.
Cite
@article{arxiv.2108.08347,
title = {Distributional solutions to mean curvature flow},
author = {Tim Laux},
journal= {arXiv preprint arXiv:2108.08347},
year = {2021}
}
Comments
38 pages, 3 figures