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)<inline-graphic></inline-graphic>. We establish the Feynman-Kac representation of the solution and use this representation to obtain matching lower and upper bounds for the Lp(Ω)<inline-graphic></inline-graphic> moments of the solution. [ABSTRACT FROM AUTHOR]