11 citations · 11 across the 4 of their papers we have counts for
4 papers
Invariance measures of stochastic 2D Navier-Stokes equations driven by -stable processes
Zhao Dong, Lihu Xu, Xicheng Zhang
In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general Lévy processes (in particular, -stable processes), and obtain the existence o…
A Modified log-Harnack inequality and asymptotically strong Feller property
Lihu Xu
We introduce a new functional inequality, which is a modification of log-Harnack inequality established in [20] and [29], and prove that it implies the asymptotically strong Feller…
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…
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…