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.
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页码：77 / 99
页数：23
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