Evolution by mean curvature in sub-Riemannian geometries: A stochastic approach

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dc.creatorDirr, Nicolas
dc.creatorDragoni, Federica
dc.creatorvon Renesse, Max
dc.date2008-12-17
dc.date.accessioned2026-07-07T12:16:15Z
dc.date.available2026-07-07T12:16:15Z
dc.descriptionWe study the phenomenon of evolution by horizontal mean curvature flow in sub-Riemannian geometries. We use a stochastic approach to prove the existence of a generalized evolution in these spaces. In particular we show that the value function of suitable family of stochastic control problems solves in the viscosity sense the level set equation for the evolution by horizontal mean curvature flow.
dc.identifierhttps://arxiv.org/abs/0812.3288
dc.identifierhttp://arxiv.org/abs/0812.3288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211742
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject35K65, 60H30, 53C17
dc.titleEvolution by mean curvature in sub-Riemannian geometries: A stochastic approach
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