4 papers · 1 filter
Gibbs measure dynamics for the fractional NLS
Chenmin Sun, Nikolay Tzvetkov
We construct global solutions on a full measure set with respect to the Gibbs measure for the one dimensional cubic fractional nonlinear Schrödinger equation (FNLS) with weak disp…
Probabilistic well-posedeness for the nonlinear Schrödinger equation on the sphere I: positive regularities
Nicolas Burq, Nicolas Camps, Chenmin Sun +1
We establish the probabilistic well-posedness of the nonlinear Schrödinger equation on the sphere . The initial data are distributed according to Gaussian mea…
Quasi-invariance of Gaussian measures for the energy critical nonlinear Schr\" odinger equation
Chenmin Sun, Nikolay Tzvetkov
We consider the energy critical nonlinear Schr\" odinger equation with data distributed according to the Gaussian measure with covariance operator , where is…
The Second Picard iteration of NLS on the sphere does not regularize Gaussian random initial data
Nicolas Burq, Nicolas Camps, Mickaël Latocca +2
We consider the Wick ordered cubic Schrödinger equation (NLS) posed on the two-dimensional sphere, with initial data distributed according to a Gaussian measure. We show that the…