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.

引用

页码：2846 / 2851

页数：6

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