Generalized mean curvature flow in Carnot groups

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dc.creatorCapogna, Luca
dc.creatorCitti, Giovanna
dc.date2008-08-26
dc.date.accessioned2026-07-07T09:58:27Z
dc.date.available2026-07-07T09:58:27Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/0808.3467
dc.identifierhttp://arxiv.org/abs/0808.3467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167722
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35H20; 53C17; 53C44
dc.titleGeneralized mean curvature flow in Carnot groups
dc.typetext

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