On the semi-classical limit for the nonlinear Schrodinger equation
Analysis of PDEs
2009-02-02 v1 Mathematical Physics
math.MP
Abstract
We review some results concerning the semi-classical limit for the nonlinear Schrodinger equation, with or without an external potential. We consider initial data which are either of the WKB type, or very concentrated as the semi-classical parameter goes to zero. We sketch the techniques used according to various frameworks, and point out some open problems.
Cite
@article{arxiv.math/0612518,
title = {On the semi-classical limit for the nonlinear Schrodinger equation},
author = {Rémi Carles},
journal= {arXiv preprint arXiv:math/0612518},
year = {2009}
}
Comments
22 pages