AN AREA-MINIMIZING SCHEME FOR ANISOTROPIC MEAN-CURVATURE FLOW

作者：Eto Tokuhiro^*; Giga Yoshikazu; Ishii Katsuyuki

来源：Advances in Differential Equations, 2012, 17(11-12): 1031-1084.

DOI：10.3792/pjaa.88.7

• Anisotropic mean curvature flow
• approximation scheme
• area minimization
• viscosity solutions

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.

• 出版日期2012-12