The Stochastic Heat Equation with a Fractional-Colored Noise: Existence of the Solution

Raluca Balan, Ciprian Tudor

In this article we consider the stochastic heat equation $u_t-\Delta u=\dot{B}$ in $(0,T) \times \bR^d$, with vanishing initial conditions, driven by a Gaussian noise $\dot{B}$ which is…