Add to ORKGIn this note, we give an overview of some results obtained in [3], written in collaboration with Nicolas Burq. This latter work is devoted to the study of the one-dimensional nonlinear Schrödidinger equation with random initial conditions. Namely, we describe the nonlinear evolution of Gaussian measures and we deduce global well-posedness and scattering results for the corresponding nonlinear Schrödidinger equation
The purpose of this thesis is to study nonlinear Schrödinger equations with random initial data, in ...
We extend the convergence method introduced in our works [8]-[10] for almost sure global well-posedn...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...
56 pagesInternational audienceIn this article, we first present the construction of Gibbs measures a...
We prove a new smoothing type property for solutions of the 1d quintic Schrödinger equation. As a co...
We consider the radial nonlinear Schr\"odinger equation $i\partial_tu +\Delta u = |u|^{p-1}u$ in dim...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
We establish new results for the radial nonlinear wave and Schrödinger equations on the ball in R2 a...
We consider the $3d$ energy critical nonlinear Schr\" odinger equation with data distributed accordi...
We examine statistical properties of integrable turbulence in the defocusing and focusing regimes of...
This thesis is concerned with problems at the interface of stochastic analysis and partial differen...
In this thesis, we study well-posedness of nonlinear dispersive partial differential equations (PDE...
We consider the Cauchy problem associated with the one-dimensional nonlocal derivative nonlinear Sch...
We study the random data problem for 3D, defocusing, cubic nonlinear Schr\"odinger equation in $H_x^...
We study the Cauchy problem for the nonlinear wave equations (NLW) with random data and/or stochasti...
The purpose of this thesis is to study nonlinear Schrödinger equations with random initial data, in ...
We extend the convergence method introduced in our works [8]-[10] for almost sure global well-posedn...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...
56 pagesInternational audienceIn this article, we first present the construction of Gibbs measures a...
We prove a new smoothing type property for solutions of the 1d quintic Schrödinger equation. As a co...
We consider the radial nonlinear Schr\"odinger equation $i\partial_tu +\Delta u = |u|^{p-1}u$ in dim...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
We establish new results for the radial nonlinear wave and Schrödinger equations on the ball in R2 a...
We consider the $3d$ energy critical nonlinear Schr\" odinger equation with data distributed accordi...
We examine statistical properties of integrable turbulence in the defocusing and focusing regimes of...
This thesis is concerned with problems at the interface of stochastic analysis and partial differen...
In this thesis, we study well-posedness of nonlinear dispersive partial differential equations (PDE...
We consider the Cauchy problem associated with the one-dimensional nonlocal derivative nonlinear Sch...
We study the random data problem for 3D, defocusing, cubic nonlinear Schr\"odinger equation in $H_x^...
We study the Cauchy problem for the nonlinear wave equations (NLW) with random data and/or stochasti...
The purpose of this thesis is to study nonlinear Schrödinger equations with random initial data, in ...
We extend the convergence method introduced in our works [8]-[10] for almost sure global well-posedn...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...