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math.PR2019
Well-posedness and large deviations for 2-D Stochastic Navier-Stokes equations with jumps
Zdzislaw Brzezniak, Xuhui Peng, Jianliang Zhai
The aim of this paper is threefold. Firstly, we prove the existence and the uniqueness of a global strong (in both the probabilistic and the PDE senses) -valued s…
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'…