Asymptotics for the level set equation near a maximum
Analysis of PDEs
2018-06-05 v1
Abstract
We give asymptotics for the level set equation for mean curvature flow on a convex domain near the point where it attains a maximum. It is known that solutions are not necessarily and we recover this result and construct non-smooth solutions which are We also construct solutions having prescribed behavior near the maximum. We do this by analyzing the asymptotics for rescaled mean curvature flow converging to a stationary sphere.
Cite
@article{arxiv.1806.00930,
title = {Asymptotics for the level set equation near a maximum},
author = {Nick Strehlke},
journal= {arXiv preprint arXiv:1806.00930},
year = {2018}
}