2 papers
math.AP2011
A Subelliptic Analogue of Aronson-Serrin's Harnack Inequality
Luca Capogna, Giovanna Citti, Garrett Rea
We show that the Harnack inequality for a class of degenerate parabolic quasilinear PDE $$\p_t u=-X_i^* A_i(x,t,u,Xu)+ B(x,t,u,Xu),$$ associated to a system of Lipschitz continuous…
math.AP2010
A Harnack inequality and Hölder continuity for weak solutions to parabolic operators involving Hörmander vector fields
Garrett Rea
This paper deals with two separate but related results. First we consider weak solutions to a parabolic operator with Hörmander vector fields. Adapting the iteration scheme of Jürg…