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

页码：3381 / 3402

页数：22

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