fractional heat equation 1gaussian noise 1laws of iterated logarithm 1stochastic partial differential equations 1temporal increments 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.PR2026
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…
math.PR2026
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\…
math.PR2026
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…