3 papers
math.PR2021
Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups
Qi Hou, Laurent Saloff-Coste
In this paper we study left-invariant Laplacians on compact connected groups that are form-comparable perturbations of bi-invariant Laplacians. Our results show that Gaussian bound…
math.AP2020
Rough Hypoellipticity for the Heat Equation in Dirichlet Spaces
Qi Hou, Laurent Saloff-Coste
This paper aims at proving the local boundedness and continuity of solutions of the heat equation in the context of Dirichlet spaces under some rather weak additional assumptions.…
math.AP2019
Time regularity for local weak solutions of the heat equation on local Dirichlet spaces
Qi Hou, Laurent Saloff-Coste
We study the time regularity of local weak solutions of the heat equation in the context of local regular symmetric Dirichlet spaces. Under two basic and rather minimal assumptions…