Kavli Affiliate: Ran Wang | First 5 Authors: Ran Wang, , , , | Summary: Consider the stochastic partial differential equation begin{equation*} frac{partial }{partial t}u_t(x)= -(-Delta)^{frac{alpha}{2}}u_t(x) +bleft(u_t(x)right)+sigmaleft(u_t(x)right) dot F(t, x), tge0, xin mathbb R^d, end{equation*} where $-(-Delta)^{frac{alpha}{2}}$ denotes the fractional Laplacian with the power $alpha/2in (1/2,1]$, and the driving noise $dot F$ is a centered […]
Continue.. Analysis of the gradient for the stochastic fractional heat equation with spatially-colored noise in $mathbb R^d$