6 citations · 26 across the 25 of their papers we have counts for
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math.AP2019★ 4 cited
Schauder's estimate for nonlocal kinetic equations and its applications
Zimo Hao, Mingyan Wu, Xicheng Zhang
In this paper we develop a new method based on Littlewood-Paley's decomposition and heat kernel estimates of integral form, to establish Schauder's estimate for the following degen…
math.PR2019★ 2 cited
Hörmander's hypoelliptic theorem for nonlocal operators
Zimo Hao, Xuhui Peng, Xicheng Zhang
In this paper we show the Hörmander hypoelliptic theorem for nonlocal operators by a purely probabilistic method: the Malliavin calculus. Roughly speaking, under general Hörmander'…