Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise

This paper studies the stochastic heat equation driven by time fractional Gaussian noise with Hurst parameter H∈(0,1/2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H\in (0,1/2)$$\end{document}. We establish the Feynman–Kac representation of the solution and use this representation to obtain matching lower and upper bounds for the Lp(Ω)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p(\Omega )$$\end{document} moments of the solution.