4 papers
Temporal properties of the stochastic fractional heat equation with rough dependence in space
Beibei Zhang, Bin Qian
This paper investigates the nonlinear stochastic fractional heat equation driven by a Gaussian noise that is white in time and fractional in space with a Hurst parameter $H \in \bi…
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-Émery type estimates for a class of hypoelliptic diffusion operator by coupling method. The (right and reverse) Poincaré inequalities and…