  This paper studies the one-dimensional parabolic Anderson model driven by a
Gaussian noise which is white in time and has the covariance of a fractional
Brownian motion with Hurst parameter $H \in (\frac{1}{4}, \frac{1}{2})$ in the
space variable. We derive the Wiener chaos expansion of the solution and a
Feynman-Kac formula for the moments of the solution. These results allow us to
establish sharp lower and upper asymptotic bounds for the $n$th moment of the
solution.
