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

preprint2016arXivOpen access

Abstract

This paper studies the stochastic heat equation driven by time fractional Gaussian noise with Hurst parameter H∈(0,1/2)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 Lp(Ω)L^p(Ω) moments of the solution.

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