Global Well-Posedness for the Fractional Nonlinear Schrodinger Equation

被引：123

作者：

Guo, Boling ^{[2
]}

Huo, Zhaohui ^{[1
,3
]}

机构：

[1] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing, Peoples R China

[3] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 36卷 / 02期

关键词：

Fractional Schrodinger equation; Global well-posedness; Xs; b spaces;

D O I：

10.1080/03605302.2010.503769

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global well-posedness for the Cauchy problem of the 1-D fractional nonlinear Schrodinger equation [image omitted] is considered. If [image omitted], then global well-posedness in L2 is obtained.

引用

页码：247 / 255

页数：9

共 7 条

[1]

B, 1993, Geom Funct Anal, V3, P209

[2] Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrodinger equation [J].

Guo Boling ;

Han Yongqian ;

Xin Jie .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (01) :468-477

[3] THE CAUCHY-PROBLEM FOR THE KORTEWEG-DEVRIES EQUATION IN SOBOLEV SPACES OF NEGATIVE INDEXES [J].

KENIG, CE ;

PONCE, G ;

VEGA, L .

DUKE MATHEMATICAL JOURNAL, 1993, 71 (01) :1-21

[4] A bilinear estimate with applications to the KdV equation [J].

Kenig, CE ;

Ponce, G ;

Vega, L .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 9 (02) :573-603

[5] Fractional Schrodinger equation [J].

Laskin, N .

PHYSICAL REVIEW E, 2002, 66 (05) :7-056108

[6] Fractional quantum mechanics and Levy path integrals [J].

Laskin, N .

PHYSICS LETTERS A, 2000, 268 (4-6) :298-305

[7] Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations [J].

Tao, T .

AMERICAN JOURNAL OF MATHEMATICS, 2001, 123 (05) :839-908

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