Generalized Mean Curvature Flow in Carnot Groups
نویسندگان
چکیده
منابع مشابه
Generalized Mean Curvature Flow in Carnot Groups
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 [29] and [14]. We establish two special cases of the comparison principle, existence, uniqueness and basic geometric properties of the flow.
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2009
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605300903050257