DIVERGENT SQLUTION TO THE NONLINEAR SCHRODINGER EQUATION WITH THE COMBINED POWER-TYPE NONLINEARITIES

被引：5

作者：

Li, Jing ^{[1
]}

Guo, Boling ^{[2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410114, Hunan, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 10088, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Schrodinger equation; combined power-type nonlinearities; blow-up; DAVEY-STEWARTSON SYSTEMS; CAUCHY-PROBLEM; BLOW-UP; EXISTENCE; INSTABILITY; SCATTERING; WAVES;

D O I：

10.11948/2017017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem for the nonlinear Schrodinger equation with combined power-type nonlinearities, which is masscritical/supercr-itical, and energy-subcritical. Combing Du, Wu and Zhang' argument with the variational method, we prove that if the energy of the initial data is negative (or under some more general condition), then the H-1-norm of the solution to the Cauchy problem will go to infinity in some finite time or infinite time.

引用

页码：249 / 263

页数：15

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