Communications in Partial Differential Equations
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  and . We establish two special cases of the comparison principle, existence, uniqueness and basic geometric properties of the flow.
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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.
Capogna, L. & Citti, G. (2009). Generalized mean curvature flow in Carnot groups. Communications in Partial Differential Equations, 34(8), 937-956. https://doi.org/10.1080/03605300903050257