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

Abstract

This paper studies the stochastic heat equation driven by time fractional Gaussian noise with Hurst parameter $H\in (0,1/2)$. We establish the Feynman-Kac representation of the solution and use this representation to obtain matching lower and upper bounds for the $L^p(\Omega )$ moments of the solution.

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