Feynman-Kac formula for the stochastic heat equation driven by general Gaussian noises
In this talk I will present some results on stochastic heat equations
driven by a Gaussian noises. I will focus on Feynman-Kac representation of the solution and the moments of the solution.
Both lower and upper bounds for the \(L^p\) moments of the solution are obtained which is relevant to the so-called intermittency.
The Driving Gaussian noises include fractional Brownian fields of Hurst parameters greater or smaller than 1/2.