Horizontal Gauss Curvature Flow of Graphs in Carnot Groups
Analysis of PDEs
2009-02-12 v1
Abstract
We show the existence of continuous viscosity solutions to the equation describing the flow of a graph in the Carnot group G x R according to its horizontal Gauss curvature. In doing so, we prove a comparison principle for degenerate parabolic equations of the form u_t + F(D_0u, (D_0^2u)^*) = 0 for u defined on G.
Keywords
Cite
@article{arxiv.0902.1760,
title = {Horizontal Gauss Curvature Flow of Graphs in Carnot Groups},
author = {Erin Haller Martin},
journal= {arXiv preprint arXiv:0902.1760},
year = {2009}
}