Sharp criteria for the nonlinear Schrodinger equation with combined nonlinearities of power-type and Hartree-type

被引：8
|
作者：
Leng, Lihui [1 ]
Li, Xiaoguang [2 ]
Zheng, Pengshe [1 ]
机构：
[1] Xihua Univ, Coll Sci, Chengdu, Sichuan, Peoples R China
[2] Sichuan Normal Univ, Sichuan Prov Key Lab Comp Software, Chengdu, Sichuan, Peoples R China
来源：
APPLICABLE ANALYSIS | 2017年 / 96卷 / 16期
关键词：
Nonlinear Schrodinger equation; Hartree-type; sharp criteria; blow-up solution; global existence; BLOW-UP; CAUCHY-PROBLEM;
D O I：
10.1080/00036811.2016.1248424
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the Cauchy problem of the nonlinear Schrodinger equation with Combined Nonlinearities. By using the generalized Gagliardo-Nirenberg inequalities, when p > 4/n and for all gamma : 2 <= gamma < 4, we obtain a sharp threshold for global existence and blow-up of solutions.
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页码：2846 / 2851
页数：6
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