Add to ORKGInternational audienceIn this paper we construct a Gibbs measure for the derivative Schrödinger equation on the circle. The construction uses some renormalisations of Gaussian series and Wiener chaos estimates, ideas which have already been used by the second author in a work on the Benjamin-Ono equation
We construct invariant measures associated to the integrals of motion of the periodic derivative non...
The periodic Benjamin--Ono equation is an autonomous Hamiltonian system with a Gibbs measure on $L^2...
We construct invariant measures associated to the integrals of motion of the periodic derivative non...
International audienceIn this paper we construct a Gibbs measure for the derivative Schrödinger equa...
We study the one-dimensional periodic derivative nonlinear Schrödinger equation. This is known to be...
We study the one dimensional periodic derivative nonlinear Schrödinger (DNLS) equation. This is know...
The paper interprets the cubic nonlinear Schr\"odinger equation as a Hamiltonian system with infinit...
We establish new results for the radial nonlinear wave and Schrödinger equations on the ball in R2 a...
Let be the soliton solution to the nonlinear Schrdinger equation on the line. Following the approach...
Let be the soliton solution to the nonlinear Schrdinger equation on the line. Following the approach...
International audienceWe consider the defocusing generalized KdV equations on the circle. In particu...
In this talk we first give a quick background overview of Bourgain's approach to prove the invarianc...
Abstract We revisit the work of Bourgain on the invariance of the Gibbs measure for t...
Abstract We revisit the work of Bourgain on the invariance of the Gibbs measure for t...
The paper interprets the cubic nonlinear Schr\"odinger equation as a Hamiltonian system with infinit...
We construct invariant measures associated to the integrals of motion of the periodic derivative non...
The periodic Benjamin--Ono equation is an autonomous Hamiltonian system with a Gibbs measure on $L^2...
We construct invariant measures associated to the integrals of motion of the periodic derivative non...
International audienceIn this paper we construct a Gibbs measure for the derivative Schrödinger equa...
We study the one-dimensional periodic derivative nonlinear Schrödinger equation. This is known to be...
We study the one dimensional periodic derivative nonlinear Schrödinger (DNLS) equation. This is know...
The paper interprets the cubic nonlinear Schr\"odinger equation as a Hamiltonian system with infinit...
We establish new results for the radial nonlinear wave and Schrödinger equations on the ball in R2 a...
Let be the soliton solution to the nonlinear Schrdinger equation on the line. Following the approach...
Let be the soliton solution to the nonlinear Schrdinger equation on the line. Following the approach...
International audienceWe consider the defocusing generalized KdV equations on the circle. In particu...
In this talk we first give a quick background overview of Bourgain's approach to prove the invarianc...
Abstract We revisit the work of Bourgain on the invariance of the Gibbs measure for t...
Abstract We revisit the work of Bourgain on the invariance of the Gibbs measure for t...
The paper interprets the cubic nonlinear Schr\"odinger equation as a Hamiltonian system with infinit...
We construct invariant measures associated to the integrals of motion of the periodic derivative non...
The periodic Benjamin--Ono equation is an autonomous Hamiltonian system with a Gibbs measure on $L^2...
We construct invariant measures associated to the integrals of motion of the periodic derivative non...