The Interctitical Defocusing Nonlinear Schrodinger Equations with Radial Initial Data in Dimensions

• 作 者: Chuanwei Gao Changxing Miao Ji
• 机 构: TheGraduateSchoolofChinaAcademyofEngineeringPhysics,InstituteofAppliedPhysicsandComputationalMathema
• 出 处: 分析理论与应用:英文刊
• 发表日期: 2019年2期
• 关键词: Nonlinear SCHRODINGER equation SCATTERING frequency-localized Morawetz estimae w
• 基金项目: National Natural Science Foundation of China under grant No.11671047 and No.11726005,LabEx MME-DI.

In this paper,we consider the defocusing nonlinear Schrodinger equation in space dimensions d≥4.We prove that if u is a radial solution which is priori bounded inthe critical Sobolev space,that is,u L∈Lt^∞Hx^Sc,then u is global and scatters.In practise,we