124 citations · 988 across the 137 of their papers we have counts for
14 papers · 1 filter
Exponential Convergence Rates of Second Quantization Semigroups and Applications
Changsong Deng, Feng-Yu Wang
Exponential convergence rates in the -tail norm and entropy are characterized for the second quantization semigroups by using the corresponding base Dirichlet form. This suppl…
Coupling and Applications
Feng-Yu Wang
This paper presents a self-contained account for coupling arguments and applications in the context of Markov processes. We first use coupling to describe the transport problem, wh…
Equivalent Semigroup Properties for Curvature-Dimension Condition
Feng-Yu Wang
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As applications, the fir…
Harnack Inequalities for Functional SDEs with Multiplicative Noise and Applications
Feng-Yu Wang, Chenggui Yuan
By constructing a new coupling, the log-Harnack inequality is established for the functional solution of a delay stochastic differential equation with multiplicative noise. As appl…
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…
Gradient Estimate on the Neumann Semigroup and Applications
Feng-Yu wang, Lixin Yan
We prove the following sharp upper bound for the gradient of the Neumann semigroup on a -dimensional compact domain $\OO$ with boundary either -smooth or convex: $$\|…