Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

A. Chambolle - M. Novaga

Implicit time discretization of the mean curvature flow with a discontinuous forcing term

created by novaga on 27 Jul 2005


Submitted Paper

Inserted: 27 jul 2005

Year: 2005


We consider an implicit time discretization for the motion of a hypersurface driven by its anisotropic mean curvature. We prove some convergence results of the scheme under very general assumptions on the forcing term, which include in particular the case of a typical path of the Brownian motion. We compare this limit with other available solutions, whenever they are defined. As a by-product of the analysis, we also provide a simple proof of the coincidence of the limit flow with the regular evolutions, defined for small times, in the case of a regular forcing term.


Credits | Cookie policy | HTML 5 | CSS 2.1