A unique continuation property for the level set equation
Analysis of PDEs
2018-06-04 v1
Abstract
We prove the following unique continuation result: if a solution to the level set equation for mean curvature flow in a mean-convex domain agrees to infinite order at the point where it attains its maximum with the solution for a ball, then it agrees everywhere and the domain is a ball.
Keywords
Cite
@article{arxiv.1806.00389,
title = {A unique continuation property for the level set equation},
author = {Nick Strehlke},
journal= {arXiv preprint arXiv:1806.00389},
year = {2018}
}