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

共 50 条

[1] The energy-critical nonlinear wave equation with an inverse-square potential
Miao, Changxing
Murphy, Jason
Zheng, Jiqiang
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2020, 37 (02): : 417 - 456
[2] Scattering of the energy-critical NLS with inverse square potential
Yang, Kai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 487 (02)
[3] SCATTERING OF THE FOCUSING ENERGY-CRITICAL NLS WITH INVERSE SQUARE POTENTIAL
Yang, Kai
Zhang, Xiaoyi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023, 43 (07) : 2608 - 2636
[4] Scattering and Blow-Up Dichotomy of the Energy-Critical Nonlinear Schrödinger Equation With the Inverse-Square Potential
Hamano, Masaru
Ikeda, Masahiro
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, : 9225 - 9240
[5] THE ENERGY-CRITICAL NLS WITH INVERSE-SQUARE POTENTIAL
Killip, Rowan
Miao, Changxing
Visan, Monica
Zhang, Junyong
Zheng, Jiqiang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (07) : 3831 - 3866
[6] SCATTERING OF THE FOCUSING ENERGY-CRITICAL NLS WITH INVERSE SQUARE POTENTIAL IN THE RADIAL CASE
Yang, Kai
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (01) : 77 - 99
[7] LARGE GLOBAL SOLUTIONS FOR THE ENERGY-CRITICAL NONLINEAR SCHRODINGER EQUATION
Bai, Ruobing
Shen, Jia
Wu, Yifei
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (05) : 4193 - 4218
[8] The Cauchy problem of a focusing energy-critical nonlinear Schrodinger equation
Huang, Juan
Zhang, Jian
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 80 : 122 - 134
[9] The nonlinear Schrodinger equation with an inverse-square potential
Murphy, Jason
NONLINEAR DISPERSIVE WAVES AND FLUIDS, 2019, 725 : 215 - 225
[10] Unconditional uniqueness for the energy-critical nonlinear Schrodinger equation on T4
Chen, Xuwen
Holmer, Justin
FORUM OF MATHEMATICS PI, 2022, 10

← 1 2 3 4 5 →