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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:417

Article

Miyazaki, Hayato

关键词: Gross-Pitaevskii equation;    Cubic-quintic nonlinear Schrodinger equations;    Non-vanishing boundary condition;    Conservation laws;   

DOI  :  10.1016/j.jmaa.2014.03.055

来源: Elsevier

【 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.

【 授权许可】

Free