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arXiv · 2001.10093

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

Nicolas Ma·David Nualart·Panqiu Xia
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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 $L^p(\Omega)$ moments of the solution, we find the upper and lower bounds for the moments.

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Nicolas Ma, David Nualart, Panqiu Xia. 2020-01-27. Intermittency for the Parabolic Anderson model of Skorohod type driven by a rough noise. https://arxiv.org/abs/2001.10093

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