The Parabolic Infinite-Laplace Equation in Carnot groups

2015/01/28 by Bieske, Thomas, Martin, Erin
#17B70 #22E25 #35D40 #35H20 #35K65 #53C17 #Analysis of PDEs (math.AP) #FOS: Mathematics #Metric Geometry (math.MG) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1501.07181

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.

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