Global rough solutions to the critical generalized KdV equation

被引：19

作者：

Farah, Luiz Gustavo ^{[1
,2
]}

机构：

[1] ICEx UFMG, Dept Math, BR-31270901 Belo Horizonte, MG, Brazil

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 08期

关键词：

NONLINEAR SCHRODINGER-EQUATION; BLOW-UP SOLUTIONS; WELL-POSEDNESS; KORTEWEG-DEVRIES; STABILITY; EXISTENCE; SPACE;

D O I：

10.1016/j.jde.2010.05.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the initial value problem (IVP) for the critical generalized KdV equation u(t) + u(xxx) (u(5))(x) = 0 on the real line is globally well-posed in H(s)(R) if s > 3/5 with the appropriate smallness assumption on the initial data. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1968 / 1985

页数：18

共 30 条

[1] SELF-SPREADING AND STRENGTH OF SINGULARITIES FOR SOLUTIONS TO SEMILINEAR WAVE-EQUATIONS [J].