Generalized mean curvature flow in Carnot groups
Analysis of PDEs
2008-08-27 v1 Differential Geometry
Abstract
In this paper we study the generalized mean curvature flow of sets in the sub-Riemannian geometry of Carnot groups. We extend to our context the level sets method and the weak (viscosity) solutions introduced in the Euclidean setting by Evans-Spruck and Chen-Giga-Goto. We establish two special cases of the comparison principle, existence, uniqueness and basic geometric properties of the flow.
Keywords
Cite
@article{arxiv.0808.3467,
title = {Generalized mean curvature flow in Carnot groups},
author = {Luca Capogna and Giovanna Citti},
journal= {arXiv preprint arXiv:0808.3467},
year = {2008}
}