Energy-critical nonlinear Schrodinger equation with inverse square potential and subcritical perturbation

被引：2

作者：

Xia, Suxia ^{[1
]}

机构：

[1] Henan Univ Technol, Dept Math, Zhengzhou 450001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 487卷 / 01期

基金：

美国国家科学基金会;

关键词：

Global well-posedness; Inverse square potential; Scattering; Schrodinger equation; WAVE-EQUATION; SCATTERING; NLS;

D O I：

10.1016/j.jmaa.2020.123955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we consider the global well-posedness and scattering theory for the energy-critical nonlinear Schrodinger equation with inverse square potential and subcritical perturbation in three spatial dimensions. We establish the global well-posedness theory and scattering theory for a > -1/4 + 1/25, and we improve the results obtained by Zhang and Zheng [19]. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：18

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