Generalized mean curvature flow in Carnot groups

Details Generalized mean curvature flow in Carnot groups Generalized mean curvature flow in Carnot groups

2008-08-26

arxiv.org/abs/0808.3467v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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