36 citations · 143 across the 56 of their papers we have counts for
4 papers · 1 filter
Exponential Ergodicity of stochastic Burgers equations driven by -stable processes
Zhao Dong, Lihu Xu, Xicheng Zhang
In this work, we prove the strong Feller property and the exponential ergodicity of stochastic Burgers equations driven by -subordinated cylindrical Brownian motions with $α\i…
Ergodicity of stochastic real Ginzburg-Landau equation driven by -stable noises
Lihu Xu
We study the ergodicity of stochastic real Ginzburg-Landau equation driven by additive -stable noises, showing that as , this stochastic system admits a unique inv…
Log-Harnack Inequality for Gruschin Type Semigroups
Feng-Yu Wang, Lihu Xu
By constructing a coupling in two steps and using the Girsanov theorem under a regular conditional probability, the log-Harnack inequality is established for a large class of Grusc…
Applications of a simple but useful technique to stochastic convolution of -stable processes
Lihu Xu
Our simple but useful technique is using an integration by parts to split the stochastic convolution into two terms. We develop five applications for this technique. The first one…