2 papers
math.AP2004
Coupling for some partial differential equations driven by white noise
Giuseppe Da Prato, Arnaud Debussche, Luciano Tubaro
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 refl…
math.AP2004
Ergodicity for the weakly damped stochastic non-linear Schrödinger equations
Arnaud Debussche, Cyril Odasso
We study a damped stochastic non-linear Schrödinger (NLS) equation driven by an additive noise. It is white in time and smooth in space. Using a coupling method, we establish conve…