Open Access
2020 Intermittency for the parabolic Anderson model of Skorohod type driven by a rough noise
Nicholas Ma, David Nualart, Panqiu Xia
Electron. Commun. Probab. 25: 1-10 (2020). DOI: 10.1214/20-ECP327

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.

Citation

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Nicholas Ma. David Nualart. Panqiu Xia. "Intermittency for the parabolic Anderson model of Skorohod type driven by a rough noise." Electron. Commun. Probab. 25 1 - 10, 2020. https://doi.org/10.1214/20-ECP327

Information

Received: 27 January 2020; Accepted: 14 June 2020; Published: 2020
First available in Project Euclid: 14 July 2020

zbMATH: 1448.60143
MathSciNet: MR4125795
Digital Object Identifier: 10.1214/20-ECP327

Subjects:
Primary: 60H15

Keywords: Brownian bridges , Feynman-Kac formula , Intermittency , moment bounds , Parabolic Anderson model , Skorohod integral , Wick product

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