International audienceWe consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential over the two dimensional torus. We prove existence and uniqueness of solutions to an initial value problem for suitable initial data. Our construction is based on a change of unknown originally used in [13] and conserved quantities
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
We study local existence and uniqueness for a surface growth model with space-time white noise in 2D...
We study local existence and uniqueness for a surface growth model with space-time white noise in 2D...
We consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential ...
In this thesis existence and uniqueness of the solution of a nonlinear Schrödinger equation in L² wi...
We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial white noi...
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white noise p...
AbstractWe consider a stochastic Korteweg–de Vries equation on the real line. The noise is additive....
International audienceUnder certain scaling the nonlinear Schrödinger equation with random dispersio...
Luo D, Zhu R. Stochastic mSQG equations with multiplicative transport noises: White noise solutions ...
Abstract. In this paper, we discuss the application of white noise analysis to the Feynman path inte...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...
International audienceWe consider a non linear Schrödinger equation on a compact manifold of dimensi...
AbstractIn this note, we study a weakly damped nonlinear Schrödinger equation in a bounded two-dimen...
We prove Strichatz inequalities for the Schrödinger equation and the wave equation with multiplicati...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
We study local existence and uniqueness for a surface growth model with space-time white noise in 2D...
We study local existence and uniqueness for a surface growth model with space-time white noise in 2D...
We consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential ...
In this thesis existence and uniqueness of the solution of a nonlinear Schrödinger equation in L² wi...
We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial white noi...
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white noise p...
AbstractWe consider a stochastic Korteweg–de Vries equation on the real line. The noise is additive....
International audienceUnder certain scaling the nonlinear Schrödinger equation with random dispersio...
Luo D, Zhu R. Stochastic mSQG equations with multiplicative transport noises: White noise solutions ...
Abstract. In this paper, we discuss the application of white noise analysis to the Feynman path inte...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...
International audienceWe consider a non linear Schrödinger equation on a compact manifold of dimensi...
AbstractIn this note, we study a weakly damped nonlinear Schrödinger equation in a bounded two-dimen...
We prove Strichatz inequalities for the Schrödinger equation and the wave equation with multiplicati...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
We study local existence and uniqueness for a surface growth model with space-time white noise in 2D...
We study local existence and uniqueness for a surface growth model with space-time white noise in 2D...