The parabolic p-Laplace equation in Carnot groups

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By establishing a parabolic maximum principle, we show uniqueness of viscosity solutions to the parabolic p-Laplace equation and then examine the limit as t goes to infinity. Additionally, we explore the limit as p goes to infinity. 1. Background and motivation In (7), uniqueness of viscosity solutions to a class of fully nonlinear subelliptic equations in Carnot groups was established. The key tool used was the Carnot Group Maximum Principle, which is a sub-Riemannian analog of the Euclidean version of (10). In particular, the following theorem was proved: