Arnold‐Thom Gradient Conjecture for the Arrival Time

We prove conjectures of René 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 a...

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Bibliographic Details
Main Authors: Colding, Tobias, Minicozzi, William
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Wiley 2020
Subjects:
Online Access:https://hdl.handle.net/1721.1/125027