On the wave operators for the critical nonlinear Schrodinger equation
Analysis of PDEs
2016-08-14 v1 Mathematical Physics
math.MP
Abstract
We prove that for the mass critical nonlinear Schrodinger equations, the wave operators and their inverse are related explicitly in terms of the Fourier transform. We discuss some consequences of this property. In the one-dimensional case, we show a precise similarity between the mass critical nonlinear Schrodinger equation and a nonlinear Schrodinger equation of derivative type.
Keywords
Cite
@article{arxiv.math/0702694,
title = {On the wave operators for the critical nonlinear Schrodinger equation},
author = {Rémi Carles and Tohru Ozawa},
journal= {arXiv preprint arXiv:math/0702694},
year = {2016}
}
Comments
8 pages