The goal of the present note is to study intermittency properties for the
solution to the fractional heat equation \frac{\partial u}{\partial t}(t,x) =
-(-\Delta)^{\beta/2} u(t,x) + u(t,x)\dot{W}(t,x), \quad t>0,x \in \bR^d with
initial condition bounded above and below, where β∈(0,2] and the
noise W behaves in time like a fractional Brownian motion of index H>1/2,
and has a spatial covariance given by the Riesz kernel of index α∈(0,d). As a by-product, we obtain that the necessary and sufficient condition
for the existence of the solution is α<β.Comment: 12 page
