An area minimizing scheme for anisotropic mean curvature flow

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Tokuhiro Eto¹  Yoshikazu Giga²  Katsuyuki Ishii⁴ 

[1] Yahoo Japan Corporation;Graduate School of Mathematical Sciences, University of Tokyo;Department of Mathematics, Faculty of Sciences, King Abdulaziz University;Graduate School of Maritime Sciences, Kobe University

关键词: Anisotropic mean curvature flow;    approximation scheme;    area minimization;    viscosity solutions.;   

DOI  :  10.3792/pjaa.88.7

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown