Multilinear estimates for periodic KdV equations, and applications

被引：139

作者：

Colliander, J

Keel, M

Staffilani, G

Takaoka, H

Tao, T

机构：

[1] Univ Toronto, Dept Math, Toronto, ON, Canada

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

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

[4] Kobe Univ, Dept Math, Kobe, Hyogo, Japan

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2004年 / 211卷 / 01期

关键词：

Korteweg-de Vries equation; nonlinear dispersive equations; bilinear estimates; multilinear harmonic analysis;

D O I：

10.1016/S0022-1236(03)00218-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an endpoint multilinear estimate for the X-s,X-b spaces associated to the periodic Airy equation. As a consequence we obtain sharp local well-posedness results for periodic generalized KdV equations, as well as some global well-posedness results below the energy norm. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：173 / 218

页数：46

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