Solving singular evolution problems in sub-Riemannian groups via deterministic games
Analysis of PDEs
2020-04-15 v1
Abstract
In this manuscript, we prove existence of viscosity solutions to singular parabolic equations in Carnot groups. We develop the analysis by constructing appropriate deterministic games adapted to the algebraic and differential structures of Carnot groups. We point out that the proof of existence does not require comparison and it is based on an Arzela-Ascoli-type theorem.
Cite
@article{arxiv.2004.06650,
title = {Solving singular evolution problems in sub-Riemannian groups via deterministic games},
author = {Pablo Ochoa and Julio Alejo Ruiz},
journal= {arXiv preprint arXiv:2004.06650},
year = {2020}
}