124 citations · 988 across the 137 of their papers we have counts for
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Closability of Quadratic Forms Associated to Invariant Probability Measures of SPDEs
Michael Rockner, Feng-Yu Wang
By using the integration by parts formula of a Markov operator, the closability of quadratic forms associated to the corresponding invariant probability measure is proved. The gene…
Distribution-Dependent SDEs for Landau Type Equations
Feng-Yu Wang
The distribution-dependent stochastic differential equations (DDSDEs) describe stochastic systems whose evolution is determined by both the microcosmic site and the macrocosmic dis…
Pointwise Characterizations of Curvature and Second Fundamental Form on Riemannian Manifolds
Feng-Yu Wang, Bo Wu
Let be a complete Riemannian manifold possibly with a boundary . For any -vector field , by using gradient/functional inequalities of the (reflecting) diffu…
Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature
Feng-Yu Wang
Let be the (Neumann) diffusion semigroup generated by a weighted Laplacian on a complete connected Riemannian manifold without boundary or with a convex boundary. I…
Integration by Parts Formula and Applications for SPDEs with Jumps
Feng-Yu Wang
By using the Malliavin calculus and finite jump approximations, the Driver-type integration by parts formula is established for the semigroup associated to stochastic (partial) dif…