On the Stochastic Heat Equation with Spatially-Colored Random forcing

Mohammud Foondun, Davar Khoshnevisan

We consider the stochastic heat equation of the following form \frac{\partial}{\partial t}u_t(x) = (\sL u_t)(x) +b(u_t(x)) + σ(u_t(x))\dot{F}_t(x)\quad \text{for}t>0, x\in \R^d, wh…