A molecular method applied to a non-local PDE in stratified Lie groups

Abstract

In this article we study a transport-diffusion equation in the framework of the stratified Lie groups. For this equation we will study the existence of the solutions, a maximum principle, a positivity principle and Hölder regularity.

26 pages. arXiv admin note: substantial text overlap with arXiv:1205.2834, arXiv:1007.3919