Advances in Differential Equations

An area minimizing scheme for anisotropic mean curvature flow

Tokuhiro Eto, Yoshikazu Giga, and Katsuyuki Ishii

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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.

Article information

Adv. Differential Equations, Volume 17, Number 11/12 (2012), 1031-1084.

First available in Project Euclid: 17 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35D40: Viscosity solutions 35K65: Degenerate parabolic equations 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.) 35K65: Degenerate parabolic equations 35K67: Singular parabolic equations


Eto, Tokuhiro; Giga, Yoshikazu; Ishii, Katsuyuki. An area minimizing scheme for anisotropic mean curvature flow. Adv. Differential Equations 17 (2012), no. 11/12, 1031--1084.

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