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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…