124 citations · 988 across the 137 of their papers we have counts for
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Harnack Inequality and Applications for Infinite-Dimensional GEM Processes
Shui Feng, Feng-Yu Wang
The dimension-free Harnack inequality and uniform heat kernel upper/lower bounds are derived for a class of infinite-dimensional GEM processes, which was introduced in \cite{FW} to…
Hypercontractivity for Stochastic Hamiltonian Systems
Feng-Yu Wang
The hypercontractivity is proved for the Markov semigroup associated to a class of finite/infinite dimensional stochastic Hamiltonian systems. Consequently, the Markov semigroup is…
Asymptotic Couplings by Reflection and Applications for Non-Linear Monotone SPDES
Feng-Yu Wang
Asymptotic couplings by reflection are constructed for a class of non-linear monotone SPDES (stochastic partial differential equations). As applications, the gradient/Hölder estima…
Hypercontractivity for Functional Stochastic Differential Equations
Jianhai Bao, Feng-Yu Wang, Chenggui Yuan
An explicit sufficient condition on the hypercontractivity is derived for the Markov semigroup associated to a class of functional stochastic differential equations. Consequently,…
Gradient Estimates and Applications for SDEs in Hilbert Space with Multiplicative Noise and Dini Continuous Drift
Feng-Yu Wang
Consider the stochastic evolution equation in a separable Hilbert space with a nice multiplicative noise and a locally Dini continuous drift. We prove that for any initial data the…
Gradient Estimates and Applications for Neumann Semigroup on Narrow Strip
Feng-Yu Wang
By using local and global versions of Bismut type derivative formulas, gradient estimates are derived for the Neumann semigroup on a narrow strip. Applications to functional/cost i…