Semiclassical Nonlinear Schrodinger equations with potential and focusing initial data
偏微分方程分析
2007-05-23 v2 数学物理
math.MP
摘要
We study the asymptotic behaviour of solutions to semi-classical nonlinear Schrodinger equations with a potential, for concentrating and oscillating initial data, when the nonlinearity is repulsive and the potential is a polynomial of degree at most two. We describe the separate roles of the nonlinearity and of the potential, with tools which seem to be specific to the class of potentials that we consider. We also discuss the case of more general subquadratic potentials.
引用
@article{arxiv.math/0212263,
title = {Semiclassical Nonlinear Schrodinger equations with potential and focusing initial data},
author = {Remi Carles and Luc Miller},
journal= {arXiv preprint arXiv:math/0212263},
year = {2007}
}
备注
Some typos fixed, final version to appear in Osaka J. Math