Regularity of the Level Set Flow

Author(s)
Colding, Tobias; Minicozzi, William
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Abstract
We showed earlier that the level set function of a monotonic advancing front is twice differentiable everywhere with bounded second derivative and satisfies the equation classically. We show here that the second derivative is continuous if and only if the flow has a single singular time where it becomes extinct and the singular set consists of a closed C[superscript 1] manifold with cylindrical singularities. © 2017 Wiley Periodicals, Inc.
Date issued
2017-07
URI
http://hdl.handle.net/1721.1/116248
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Communications on Pure and Applied Mathematics
Publisher
Wiley-Blackwell
Citation
Colding, Tobias Holck, and William P. Minicozzi. “Regularity of the Level Set Flow.” Communications on Pure and Applied Mathematics, vol. 71, no. 4, Apr. 2018, pp. 814–24.
Version: Original manuscript
ISSN
0010-3640
1097-0312
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