Evolution by mean curvature flow in sub-Riemannian geometries

Reference:

Dirr, N., Dragoni, F. and von Renesse, M., 2010. Evolution by mean curvature flow in sub-Riemannian geometries. Communications on Pure and Applied Mathematics, 9 (2), pp. 307-326.

Related documents:

Preview

PDF (Dirr_et_all_Comms_Pure_and_Appl_Analysis_2010.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (265kB) | Preview

Official URL:

http://dx.doi.org/10.3934/cpaa.2010.9.307

Abstract

We study evolution by horizontal mean curvature flow in sub- Riemannian geometries by using 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.

Export

Actions (login required)