Horizontal Gauss Curvature Flow of Graphs in Carnot Groups

Details Horizontal Gauss Curvature Flow of Graphs in Carnot Groups Horizontal Gauss Curvature Flow of Graphs in Carnot Groups

2009-02-10

arxiv.org/abs/0902.1760v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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