61 citations · 61 across the 3 of their papers we have counts for
3 papers
math.PR2005★ 61 cited
Blow-up for the stochastic nonlinear Schrodinger equation with multiplicative noise
Anne de Bouard, Arnaud Debussche
We study the influence of a multiplicative Gaussian noise, white in time and correlated in space, on the blow-up phenomenon in the supercritical nonlinear Schrodinger equation. We…
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…