Uniqueness of minimal blow-up solutions to nonlinear Schrodinger system

被引：3

作者：

Su, Yiming ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Sch Sci, Hangzhou, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 155卷

关键词：

Uniqueness; Schrodinger system; Blow up; DISPERSIVE DIELECTRIC FIBERS; GROUND-STATES; POSITIVE SOLUTIONS; OPTICAL PULSES; EQUATIONS; TRANSMISSION; EXISTENCE;

D O I：

10.1016/j.na.2017.01.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the finite time blow-up solutions to the following N coupled nonlinear Schrodinger system in R-2: i partial derivative(t)phi(j) + Delta phi(j) + Sigma(N)(k=1)a(jk)vertical bar phi k vertical bar(2)phi(j) = 0, (0.1) where N >= 2 and the coefficient matrix A satisfies a(jk) = a(kj) > 0. We study the properties of the blow-up solutions which obtain the minimal L-2 -norm, and prove that such solution is unique, up to the symmetries of the system. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：186 / 197

页数：12

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