4 citations · 10 across the 5 of their papers we have counts for
5 papers
Volume growth, Comparison theorem and Escape Rate of Diffusion Process
Shunxiang Ouyang
We study the escape rate of diffusion process with two approaches. We first give an upper rate function for the diffusion process associated with a symmetric, strongly local regula…
Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities
Alexander Grigor'yan, Shunxiang Ouyang, Michael Röckner
We prove upper and lower bounds of the heat kernel for the operator in $\mathbb{R}^{n}\setminus\{0} $ where . We obtain these bounds…
Time inhomogeneous Generalized Mehler Semigroups
Shun-Xiang Ouyang, Michael Röckner
A time inhomogeneous generalized Mehler semigroup on a real separable Hilbert space ${\mathds{H}}$ is defined through $$ p_{s,t}f(x)=\int_{\mathds{H}} f(U(t,s)x+y)\,μ_{t,s}(dy), \q…
Harnack Inequalities and Applications for Multivalued Stochastic Evolution Equations
Shun-Xiang Ouyang
By the method of coupling and Girsanov transformation, Harnack inequalities [F.-Y. Wang, 1997] and strong Feller property are proved for the transition semigroup associated with th…
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…