Instability for the Semiclassical Non-linear Schrödinger Equation

被引：0
|
作者：
Nicolas Burq
Maciej Zworski
机构：
[1] Université Paris Sud,Mathematics Department
[2] Mathématiques,undefined
[3] Institut Universitaive de France,undefined
[4] University of California,undefined
来源：
Communications in Mathematical Physics | 2005年 / 260卷
关键词：
Neural Network; Statistical Physic; Complex System; Nonlinear Dynamics; Sobolev Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We adapt recent results on instability for non-linear Schrödinger equations to the semi-classical setting. Rather than work with Sobolev spaces we estimate projective instability in terms of the small constant, h, appearing in the equation. Our motivation comes from the Gross-Pitaevski equation used in the study of Bose-Einstein condensation.
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页码：45 / 58
页数：13
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