Differentiability of the Arrival Time

For a monotonically advancing front, the arrival time is the time when the front reaches a given point. We show that it is twice differentiable everywhere with uniformly bounded second derivative. It is smooth away from the critical points where the equation is degenerate. We also show that the crit...

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Bibliographic Details
Main Authors: Colding, Tobias, Minicozzi, William
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: John Wiley & Sons 2016
Online Access:http://hdl.handle.net/1721.1/105100
https://orcid.org/0000-0001-6208-384X
https://orcid.org/0000-0003-4211-6354