36 citations · 143 across the 56 of their papers we have counts for
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math.AP2010★ 11 cited
Exponential mixing for some SPDEs with Lévy noise
Enrico Priola, Jerzy Zabczyk, Lihu Xu
We show how gradient estimates for transition semigroups can be used to establish exponential mixing for a class of Markov processes in infinite dimensions. We concentrate on semil…
math.PR2010
Log-Harnack Inequality for Stochastic Burgers Equations and Applications
Feng-Yu Wang, Jiang-Lun Wu, Lihu Xu
By proving an -gradient estimate for the corresponding Galerkin approximations, the log-Harnack inequality is established for the semigroup associated to a class of stochastic…
math.PR2010★ 2 cited
Derivative Formula and Applications for Hyperdissipative Stochastic Navier-Stokes/Burgers Equations
Feng-Yu Wang, Lihu Xu
By using coupling method, a Bismut type derivative formula is established for the Markov semigroup associated to a class of hyperdissipative stochastic Navier-Stokes/Burgers equati…