Global existence and scattering for rough solutions of a nonlinear Schrodinger equation on R3

被引：141

作者：

Colliander, J

Keel, M

Staffilani, G

Takaoka, H

Tao, T

机构：

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

[2] MIT, Dept Math, Cambridge, MA 02139 USA

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[4] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

[5] Kobe Univ, Dept Math, Nada Ku, Kobe, Hyogo 6578501, Japan

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2004年 / 57卷 / 08期

关键词：

D O I：

10.1002/cpa.20029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove global existence and scattering for the defocusing, cubic, nonlinear Schrodinger equation in H-s(R-3) for s > 4/5. The main new estimate in the argument is a Morawetz-type inequality for the solution phi. This estimate bounds parallel tophi(x, t)parallel to(Lx,t4(R3 x R)), whereas the well-known Morawetz-type estimate of Lin-Strauss controls integral(0)(infinity) integral(R3) (phi(x, t))(4)/\x\ dxdt. (C) 2004 Wiley Periodicals, Inc.

引用

页码：987 / 1014

页数：28

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