S. Cerrai

Large deviations for long-time occupation measures of stochastic evolution equations with small, asymptotically rough noise

We study the long-time, small-noise behavior of a class of dissipative stochastic evolution equations in a separable Hilbert space, driven by a cylindrical Wiener process whose covariance degenerates to a limiting operator in the strong operator topology. A prototypical example is a stochastic reaction-diffusion equati...