The Gaussian structure of a perturbed KPZ

Yu Gu, Tomasz Komorowski

We study the KPZ equation on a circle with an additive spatial perturbation ${\partial }_{t}h=\frac{1}{2}\Delta h+\frac{1}{2}|\nabla h{|}^2+\xi +V$, where $\xi$ is a spacetime white noise and $V$ is a s…