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

Nicolas Ma; David Nualart; Panqiu Xia

paper

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

arXiv:2001.10093

Abstract

In this paper, we study the parabolic Anderson model of Skorohod type driven by a fractional Gaussian noise in time with Hurst parameter $H \in (0, 1/2)$ . 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.

13 pages