Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{\"o}dinger equation
Analysis of PDEs
2024-04-05 v2
Abstract
In this note, we give an overview of some results obtained in [3]. This latter work is devoted to the study of the one-dimensional nonlinear Schr{\"o}dinger 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 Schr{\"o}dinger equation.
Keywords
Cite
@article{arxiv.2303.06964,
title = {Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{\"o}dinger equation},
author = {Laurent Thomann and Nicolas Burq},
journal= {arXiv preprint arXiv:2303.06964},
year = {2024}
}