Open Access
January 2012 An area minimizing scheme for anisotropic mean curvature flow
Tokuhiro Eto, Yoshikazu Giga, Katsuyuki Ishii
Proc. Japan Acad. Ser. A Math. Sci. 88(1): 7-10 (January 2012). DOI: 10.3792/pjaa.88.7

Abstract

We consider an area minimizing scheme for anisotropic mean curvature flow originally due to Chambolle (2004). We show the convergence of the scheme to anisotropic mean curvature flow in the sense of Hausdorff distance by the level set method provided that no fattening occurs.

Citation

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Tokuhiro Eto. Yoshikazu Giga. Katsuyuki Ishii. "An area minimizing scheme for anisotropic mean curvature flow." Proc. Japan Acad. Ser. A Math. Sci. 88 (1) 7 - 10, January 2012. https://doi.org/10.3792/pjaa.88.7

Information

Published: January 2012
First available in Project Euclid: 30 December 2011

zbMATH: 1275.35014
MathSciNet: MR2872208
Digital Object Identifier: 10.3792/pjaa.88.7

Subjects:
Primary: 35D40 , 35K65 , 53C44
Secondary: 35K65 , 35K67

Keywords: Anisotropic mean curvature flow , approximation scheme , Area minimization , viscosity solutions

Rights: Copyright © 2012 The Japan Academy

Vol.88 • No. 1 • January 2012
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