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Sub-Riemannian heat kernels and mean curvature flow of graphs by Capogna, Luca; Citti, Giovanna; Magnani, Cosimo Senni Guidotti is a scholarly article available to read on EtoBox.

What is Sub-Riemannian heat kernels and mean curvature flow of graphs about?

We introduce a sub-Riemannian analogue of the Bence-Merriman-Osher diffusion driven algorithm and show that it leads to weak solutions of the horizontal mean curvature flow of graphs over sub-Riemannian Carnot groups. The proof follows the nonlinear semi-group theory approach originally introduced by L. C. Evans in the Euclidean setting and is based on new results on the relation between sub-Riemannian heat flows of characteristic functions of subgraphs and the horizontal mean curvature of the corresponding graphs.

Author

Capogna, Luca; Citti, Giovanna; Magnani, Cosimo Senni Guidotti

Published

2012

Language

EN