Diffusion Effects on the Breakdown of a Linear Amplifier Model Driven by the Square of a Gaussian Field

A. Asselah, P. Dai Pra, J. L. Lebowitz +1

We investigate solutions to the equation ${\partial }_t\mathcal{E}-\mathcal{D}\Delta \mathcal{E}=\lambda S^2\mathcal{E}$, where $S(x,t)$ is a Gaussian stochastic field with covariance $C(x-x^{\prime },t,t^{\prime })$, and…