Regular and self-similar solutions of nonlinear Schrodinger equations

被引：30

作者：

Ribaud, F ^{[1
]}

Youssfi, A ^{[1
]}

机构：

[1] Univ Marne Vallee, Equipe Anal & Math Appl, F-77454 Marne La Vallee 2, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1998年 / 77卷 / 10期

关键词：

D O I：

10.1016/S0021-7824(99)80004-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem for the nonlinear Schrodinger equations with nonlinear term \u\(alpha)u. For some admissible alpha we show the existence of global solutions and we calculate the regularity of those solutions. Also we give some necessary conditions and some sufficient conditions on initial data for the existence of self-similar solutions. (C) Elsevier, Paris.

引用

页码：1065 / 1079

页数：15

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