The derivation of the conservation law for defocusing nonlinear Schrodinger equations with non-vanishing initial data at infinity

被引：3

作者：

Miyazaki, Hayato ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7894521, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 417卷 / 02期

关键词：

Gross-Pitaevskii equation; Cubic-quintic nonlinear Schrodinger equations; Non-vanishing boundary condition; Conservation laws; CAUCHY-PROBLEM; SOLITONS;

D O I：

10.1016/j.jmaa.2014.03.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For nonlinear Schrodinger equations in less than or equal to four dimension, with non-vanishing initial data at infinity, a new approach to derive the conservation law is obtained. Since this approach does not contain approximating procedure, the argument is simplified and some of technical assumption of the nonlinearity to derive the conservation law and time global solutions, is removed. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：580 / 600

页数：21

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