CONCENTRATION PHENOMENA TO THE NONLINEAR SCHRDINGER EQUATION WITH HARMONIC POTENTIAL IN GENERAL DATA

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2009,（1）
• 页数: 7页
• 分类号: O175

摘要

We analyze the blowup problems to the nonlinear Schrodinger equation with har-monic potential. This equation always models the Bose-Einstein condensation in lower dimensions. It is known that the mass of the blowup solutions from radially symmet-ric initial data can concentrate on the point of blowup. In this paper based on the refined compactness lemma, we extend the result to general data.