Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein's method

Le Chen, Davar Khoshnevisan, David Nualart +1

Suppose that $\{u(t,x){\}}_{t>0,x\in {\mathbb{R}}^d}$ is the solution to a $d$-dimensional stochastic heat equation driven by a Gaussian noise that is white in time and has a spat…