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MiS Preprint
69/2008

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

Nicolas Dirr, Federica Dragoni and Max von Renesse

Abstract

We 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.

Received:
Oct 20, 2008
Published:
Oct 27, 2008
MSC Codes:
35D05

Related publications

inJournal
2010 Repository Open Access
Nicolas Dirr, Federica Dragoni and Max von Renesse

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

In: Communications on pure and applied analysis, 9 (2010) 2, pp. 307-326