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.
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页数：14
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