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July/August 2016 A level set crystalline mean curvature flow of surfaces
Yoshikazu Giga, Norbert Požár
Adv. Differential Equations 21(7/8): 631-698 (July/August 2016).

Abstract

We introduce a new notion of viscosity solutions for the level set formulation of the motion by crystalline mean curvature in three dimensions. The solutions satisfy the comparison principle, stability with respect to an approximation by regularized problems, and we also show the uniqueness and existence of a level set flow for bounded crystals.

Citation

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Yoshikazu Giga. Norbert Požár. "A level set crystalline mean curvature flow of surfaces." Adv. Differential Equations 21 (7/8) 631 - 698, July/August 2016.

Information

Published: July/August 2016
First available in Project Euclid: 3 May 2016

zbMATH: 1375.35264
MathSciNet: MR3493931

Subjects:
Primary: 35B51, 35D40, 35K55, 35K67, 35K93

Rights: Copyright © 2016 Khayyam Publishing, Inc.

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Vol.21 • No. 7/8 • July/August 2016
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