2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167722In 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.Analysis of PDEsDifferential Geometry35H20; 53C17; 53C44Generalized mean curvature flow in Carnot groupstext