SCATTERING OF THE FOCUSING ENERGY-CRITICAL NLS WITH INVERSE SQUARE POTENTIAL IN THE RADIAL CASE

被引：6
作者：
Yang, Kai [1 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 211189, Jiangsu, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 01期
关键词：
Scattering; inverse square potential; ground state solution; energy critical; NLS; NONLINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; WAVE-EQUATION; BLOW-UP; EXTERIOR;
D O I：
10.3934/cpaa.2020258
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Cauchy problem of the focusing energy-critical nonlinear Schrodinger equation with an inverse square potential. We prove that if any radial solution obeys the supreme of the kinetic energy over the maximal lifespan is below the kinetic energy of the ground state solution, then the solution exists globally in time and scatters in both time directions.
引用
收藏
页码：77 / 99
页数：23
相关论文
共 50 条
  • [21] CONSTRUCTION OF TWO-BUBBLE SOLUTIONS FOR THE ENERGY-CRITICAL NLS
    Jendrej, Jacek
    ANALYSIS & PDE, 2017, 10 (08): : 1923 - 1959
  • [22] Focusing intercritical NLS with inverse-square potential
    Deng, Mingming
    Lu, Jing
    Meng, Fanfei
    APPLICABLE ANALYSIS, 2023, 102 (06) : 1798 - 1807
  • [23] Mass-critical focusing inhomogeneous NLS with inverse square potential
    Salah Boulaaras
    Tarek Saanouni
    Boundary Value Problems, 2025 (1)
  • [24] Global well-posedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case
    Miao, Changxing
    Xu, Guixiang
    Zhao, Lifeng
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (09) : 3715 - 3749
  • [25] Classification of radial solutions of the focusing, energy-critical wave equation
    Duyckaerts, Thomas
    Kenig, Carlos
    Merle, Frank
    CAMBRIDGE JOURNAL OF MATHEMATICS, 2013, 1 (01) : 75 - 144
  • [26] Energy concentration of the focusing energy-critical fNLS
    Cho, Yonggeun
    Hwang, Gyeongha
    Shim, Yong-Sun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 437 (01) : 310 - 329
  • [27] On the global well-posedness of focusing energy-critical inhomogeneous NLS
    Yonggeun Cho
    Seokchang Hong
    Kiyeon Lee
    Journal of Evolution Equations, 2020, 20 : 1349 - 1380
  • [28] Scattering threshold for the focusing energy-critical generalized Hartree equation
    Almuthaybiri, Saleh
    Peng, Congming
    Saanouni, Tarek
    OPEN MATHEMATICS, 2024, 22 (01):
  • [29] Energy-critical scattering for focusing inhomogeneous coupled Schrodinger systems
    Ghanmi, Radhia
    Saanouni, Tarek
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (11) : 9109 - 9136
  • [30] On the inhomogeneous NLS with inverse-square potential
    Campos, Luccas
    Guzman, Carlos M.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (04):
12345