Singular Perturbations of Mean Curvature Flow
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
We introduce a regularization method for mean curvature flow of a submanifold of arbitrary codimension in the Euclidean space, through higher order equations. We prove that the regularized problems converge to the mean curvature flow for all times before the first singularity.
Cite
@article{arxiv.math/0407325,
title = {Singular Perturbations of Mean Curvature Flow},
author = {Giovanni Bellettini and Carlo Mantegazza and Matteo Novaga},
journal= {arXiv preprint arXiv:math/0407325},
year = {2007}
}