most citedBlow-up for the stochastic nonlinear Schrodinger equation with multiplicative noise

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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…