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

preprint2020arXivOpen access

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)H \in (0, 1/2). By using the Feynman-Kac representation for the Lp(Ω)L^p(Ω) moments of the solution, we find the upper and lower bounds for the moments.

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