Almost conservation laws and global rough solutions to a nonlinear Schrodinger equation

被引：0

作者：

Colliander, J ^{[1
]}

Keel, M

Staffilani, G

Takaoka, H

Tao, T

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

[2] Univ Minnesota Twin Cities, Sch Math, Minneapolis, MN 55455 USA

[3] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[4] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan

[5] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2002年 / 9卷 / 5-6期

关键词：

nonlinear Schrodinger equation; well-posedness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an "almost conservation law" to obtain global-in-time well-posedness for the cubic, defocussing nonlinear Schrodinger equation in H-8(R-n) when n = 2,3 and s > 4/7, 5/6, respectively.

引用

页码：659 / 682

页数：24

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