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

Le Chen, Yaozhong Hu, Kamran Kalbasi, David Nualart

Published 2016-02-17Version 1

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.