The Cauchy problem for defocusing nonlinear Schrodinger equations with non-vanishing initial data at infinity

被引：38

作者：

Gallo, Clement ^{[1
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 33卷 / 05期

关键词：

dark solitons; initial value problem; nonlinear Schrodinger equations;

D O I：

10.1080/03605300802031614

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For rather general nonlinearities, we prove that defocusing nonlinear Schrdinger equations in R(n) (n <= 4), with non-vanishing initial data at infinity u(0), are globally well-posed in u(0) + H(1). The same result holds in an exterior domain in R(n), n = 2, 3.

引用

页码：729 / 771

页数：43

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