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

Diego Chamorro (1)

1 LAP - Laboratoire Analyse et Probabilités

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.

Mots clés: Transport-diffusion equation; Stratified Lie groups; Hölder regularity; Hardy spaces

Domaines: Equations aux dérivées partielles [math.AP]

Diego Chamorro. A molecular method applied to a non-local PDE in stratified Lie groups. 2013. ⟨hal-00840246⟩