Blow-up solutions to nonlinear Schrodinger system at multiple points

被引：3

作者：

Su, Yiming ^{[1
]}

Guo, Qing ^{[2
]}

机构：

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

[2] Minzu Univ China, Coll Sci, Beijing, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Schrodinger system; Blow-up solution; Multiple-point concentration; DISPERSIVE DIELECTRIC FIBERS; GROUND-STATES; POSITIVE SOLUTIONS; OPTICAL PULSES; UNIQUENESS; TRANSMISSION; EXISTENCE; EQUATIONS;

D O I：

10.1007/s00033-018-1065-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider finite-time blow-up solutions to the following N coupled nonlinear Schr odinger system in R-2: where N = 2 and the coefficient matrix A satisfies ajk = akj and ajj > 0 for 1 = j, k = N. We construct finite-time blow-up solutions concentrating at arbitrary K different points with K >= N.

引用

页数：14

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