Intermittency for the Parabolic Anderson model of Skorohod type driven by a rough noise

Abstract

In this paper, we study the parabolic Anderson model of Skorohod type driven by a fractional Gaussian noise in time with Hurst parameter H ∈ (0, 1 2). By using the Feynman-Kac representation for the L p (Ω) moments of the solution, we find the upper and lower bounds for the moments.