Remarks on non-linear Schr\"{o}dinger equation with magnetic fields
Analysis of PDEs
2007-05-23 v1
Abstract
We study the non-linear Schr\"{o}dinger equation with time depending magnetic field without smallness assumption at infinity. We obtain some results on the Cauchy problem, WKB asymptotics and instability.
Cite
@article{arxiv.math/0702882,
title = {Remarks on non-linear Schr\"{o}dinger equation with magnetic fields},
author = {Laurent Michel},
journal= {arXiv preprint arXiv:math/0702882},
year = {2007}
}