In this paper we study ergodic backward stochastic differential equations (EBSDEs) dropping the strong dissipativity assumption needed in Fuhrman et al. (2009) [12]. In other words we do not need to require the uniform exponential decay of the difference of two solutions of the underlying...

We prove, using coupling arguments, exponential convergence to equilibrium for reaction-diffusion and Burgers equations driven by space-time white noise. We use a coupling by reflection.

Uniform large deviations at the level of the paths for the stochastic nonlinear Schrodinger equation are presented. The noise is a real multiplicative Gaussian noise, white in time and colored in space. The trajectory space allows blow-up. It is endowed with a topology analogous to a projective...