ArnoldThom gradient conjecture for the arrival time
Tobias Holck Colding, William P. Minicozzi II,
2017.12.14
http://arxiv.org/abs/1712.05381
We prove conjectures of Rene Thom and Vladimir Arnold for C^2 solutions to
the degenerate elliptic equation that is the level set equation for motion by
mean curvature.
We believe these results are the first instances of a general principle:
Solutions of many degenerate equations behave as if they are analytic, even
when they are not. If so, this would explain various conjectured phenomena.
