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Dynamic of Threshold Solutions for Energy-Critical NlS
被引：0
作者：
Thomas Duyckaerts
Frank Merle
机构：
[1] Université de Cergy-Pontoise,Département de Mathématiques
来源：
Geometric and Functional Analysis
|
2009年
/
18卷
关键词：
Nonlinear wave equation;
energy-critical;
asymptotic behavior;
scattering;
blow-up;
35L70;
35B30;
35B40;
35P25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the energy-critical non-linear focusing Schrödinger equation in dimension N = 3, 4, 5. An explicit stationary solution, W, of this equation is known. In [KeM], the energy E(W) has been shown to be a threshold for the dynamical behavior of solutions of the equation. In the present article, we study the dynamics at the critical level E(u) = E(W) and classify the corresponding solutions. This gives in particular a dynamical characterization of W.
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页码：1787 / 1840
页数：53
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