V. Nersesyan

Polynomial mixing for the weakly damped stochastic nonlinear Schr\"odinger equation on the whole space

We consider the weakly damped stochastic nonlinear Schr\"odinger (NLS) equation on the real line, driven by a noise that is white in time and smooth in space. Assuming that the noise is sufficiently non-degenerate, we prove that the equation has a unique stationary measure in the class of probability measures concentra...