The Parabolic Infinite-Laplace Equation in Carnot groups
Analysis of PDEs
2015-01-29 v1 Metric Geometry
Optimization and Control
Abstract
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 Carnot groups. We show stability of solutions within the class and examine the limit as t goes to infinity.
Keywords
Cite
@article{arxiv.1501.07181,
title = {The Parabolic Infinite-Laplace Equation in Carnot groups},
author = {Thomas Bieske and Erin Martin},
journal= {arXiv preprint arXiv:1501.07181},
year = {2015}
}