Document Type

Article

Publication Date

9-27-2009

Publication Title

Communications in Partial Differential Equations

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 in [4] and [12]. We establish two special cases of the comparison principle, existence, uniqueness and basic geometric properties of the flow.

Volume

34

Issue

8

First Page Number

937

Last Page Number

956

DOI

10.1080/03605300903050257

Version

Preprint

Publisher Statement

This is an Author's Original Manuscript of an article published by Taylor & Francis in Communications in Partial Differential Equations on September 27, 2009, available online: http://www.tandfonline.com/10.1080/03605300903050257.

Rights

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.

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