124 citations · 988 across the 137 of their papers we have counts for
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Log-Harnack Inequality for Stochastic Differential Equations in Hilbert Spaces and its Consequences
Micahel Röckner, Feng-Yu Wang
A logarithmic type Harnack inequality is established for the semigroup of solutions to a stochastic differential equation in Hilbert spaces with non-additive noise. As applications…
Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds
Feng-Yu Wang
By constructing a coupling with unbounded time-dependent drift, dimension-free Harnack inequalities are established for a large class of stochastic differential equations with mult…
Robin Heat Semigroup and HWI Inequality on Manifolds with Boundary
Feng-Yu Wang
Let be a complete connected Riemannian manifold with boundary $\pp M$, a bounded continuous function on $\pp M$, and $L= \DD+Z$ for a -vector field on . By usin…
Transportation-Cost Inequalities on Path Space Over Manifolds with Boundary
Feng-Yu Wang
Let $L=\DD+Z$ for a vector field on a complete Riemannian manifold possibly with a boundary. By using the uniform distance, a number of transportation-cost inequalities o…
Semigroup Properties for the Second Fundamental Form
Feng-Yu Wang
Let be a compact Riemannian manifold with boundary $\pp M$ and $L= \DD+Z$ for a -vector field on . Several equivalent statements, including the gradient and Poincar…
Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump
Shun-Xiang Ouyang, Michael Röckner, Feng-Yu Wang
The Harnack inequality established in [13] for generalized Mehler semigroup is improved and generalized. As applications, the log-Harnack inequality, the strong Feller property, th…