On a fractional stochastic heat equation arising from the disordered pinning model

Zi'an Li, Jian Song, Ran Wei +1

We study the mild Skorohod solution to the following fractional stochastic heat equation on $\mathbb{R}$: \begin{equation} \begin{cases} \partial_t u(t,x)=-(-Δ)^{ρ/2} u(t,x) +βu…