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math.AP2015
The Parabolic Infinite-Laplace Equation in Carnot groups
Thomas Bieske, Erin Martin
By employing a Carnot parabolic maximum principle, we show existence-uniqueness of viscosity solutions to a class of equations modeled on the parabolic infinite Laplace equation in…
math.AP2009
Horizontal Gauss Curvature Flow of Graphs in Carnot Groups
Erin Haller Martin
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 doi…