A note on decompositions of the stochastic convolution driven by a white-fractional Gaussian noise

Ran Wang, Shiling Zhang

Let $u=\{u(t,x);(t,x)\in {\mathbb{R}}_{+}\times \mathbb{R}\}$ be the solution to a linear stochastic heat equation driven by a Gaussian noise, which is a Brownian motion in time and…