Research

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:

[img]
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.

    Details

    Item Type Articles
    CreatorsDirr, N., Dragoni, F. and von Renesse, M.
    DOI10.3934/cpaa.2010.9.307
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementDirr_et_all_Comms_Pure_and_Appl_Analysis_2010.pdf: Permission to use this version granted by AIMS.
    RefereedYes
    StatusPublished
    ID Code16691

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...