Add to ORKGAbstract. 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 Schrödinger equation. We prove that any sufficiently regular and localized determin-istic initial data gives rise to a solution which blows up in arbitrarily small time with a positive probability
We consider the critical nonlinear Schrödinger equation iut = −∆u − |u | 4N u with initial condition...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
Abstract. Sample path large deviations for the laws of the solutions of sto-chastic nonlinear Schrö...
International audienceWe study the influence of a multiplicative Gaussian noise, white in time and c...
Abstract. We review some results concerning the apparition of finite time singularities in nonlinear...
Barbu V, Röckner M, Zhang D. Stochastic nonlinear Schrödinger equations: No blow-up in the non-conse...
International audienceWe study the focusing stochastic nonlinear Schr\"odinger equation in 1D in the...
International audienceWe study the focusing stochastic nonlinear Schr\"odinger equation in one spati...
We study the focusing stochastic nonlinear Schr\"odinger equation in one spatial dimension with mult...
Arnaud Debussche † Laurent Di Menza∗ We describe several results obtained recently on stochastic non...
AbstractUniform large deviations at the level of the paths for the stochastic nonlinear Schrödinger ...
Uniform large deviations for the laws of the paths of the solutionsof the stochastic nonlinear Schr¨...
International audienceUniform large deviations for the laws of the paths of the solutions of the sto...
We present hereafter some results on stochastic nonlinear Schrödinger with a power law nonlinearity...
AbstractIn this note, we numerically investigate a stochastic nonlinear Schrödinger equation derived...
We consider the critical nonlinear Schrödinger equation iut = −∆u − |u | 4N u with initial condition...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
Abstract. Sample path large deviations for the laws of the solutions of sto-chastic nonlinear Schrö...
International audienceWe study the influence of a multiplicative Gaussian noise, white in time and c...
Abstract. We review some results concerning the apparition of finite time singularities in nonlinear...
Barbu V, Röckner M, Zhang D. Stochastic nonlinear Schrödinger equations: No blow-up in the non-conse...
International audienceWe study the focusing stochastic nonlinear Schr\"odinger equation in 1D in the...
International audienceWe study the focusing stochastic nonlinear Schr\"odinger equation in one spati...
We study the focusing stochastic nonlinear Schr\"odinger equation in one spatial dimension with mult...
Arnaud Debussche † Laurent Di Menza∗ We describe several results obtained recently on stochastic non...
AbstractUniform large deviations at the level of the paths for the stochastic nonlinear Schrödinger ...
Uniform large deviations for the laws of the paths of the solutionsof the stochastic nonlinear Schr¨...
International audienceUniform large deviations for the laws of the paths of the solutions of the sto...
We present hereafter some results on stochastic nonlinear Schrödinger with a power law nonlinearity...
AbstractIn this note, we numerically investigate a stochastic nonlinear Schrödinger equation derived...
We consider the critical nonlinear Schrödinger equation iut = −∆u − |u | 4N u with initial condition...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
Abstract. Sample path large deviations for the laws of the solutions of sto-chastic nonlinear Schrö...