From the 1 of 4 linked papers with an AI index.
4 papers
Temporal properties of the stochastic fractional heat equation with rough dependence in space
Beibei Zhang, Bin Qian
The paper studies a stochastic fractional heat equation driven by Gaussian noise that is white in time and fractional in space, deriving precise asymptotics for small temporal incr…
Large deviation principles for SPDEs with locally Lipschitz coefficients
Beibei Zhang, Bin Qian
Consider the stochastic partial differential equation, \begin{align*} \partial_t u^{\varepsilon}(t\,,x) = \frac{1}{2} \partial^2_x u^{\varepsilon}(t\,,x) + b(t\,,u^{\varepsilon}(t\…
Transportation cost inequalities for mean reflection SPDEs with white noise
Beibei Zhang, Bin Qian
We establish a quadratic transportation cost inequality under the uniform norm for solutions to mean reflected stochastic partial differential equations, a new type of equation in…
Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling
Bin Qian, Beibei Zhang
In this paper, we obtain the reverse Bakry-Ãmery type estimates for a class of hypoelliptic diffusion operator by coupling method. The (right and reverse) Poincaré inequalities a…