Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions d ≥ 9

被引：58
|
作者：
Miao, Changxing [2 ]
Xu, Guixiang [2 ]
Zhao, Lifeng [1 ]
机构：
[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 251卷 / 12期
关键词：
Defocusing; Energy-critical; Fourth order Schrodinger equations; Global well-posedness; Scattering; BLOW-UP;
D O I：
10.1016/j.jde.2011.08.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the defocusing energy-critical nonlinear Schrodinger equation of fourth order iu(t) + Delta(2)u = -vertical bar u vertical bar(8/d-4)u. We prove that any finite energy solution is global and scatters both forward and backward in time in dimensions d >= 9. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：3381 / 3402
页数：22
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