Scattering for the Radial Schrodinger Equation with Combined Power-type and Choquard-type Nonlinearities

作     者：Ying WANG Cheng Bin XU Ying WANG;Cheng Bin XU

作者机构：The Graduate School of China Academy of Engineering PhysicsBeijing 100088P.R.China School of Mathematics and StatisticsQinghai Normal UniversityXining 810008P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第4期

页      面：1029-1041页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Schrodinger equation Choquard-type Scattering theory 

摘      要：In this paper,we show the scattering of the radial solution for the nonlinear Schrodinger equation with combined power-type and Choquard-type nonlinearities iut+△u=λ1|u|p1-1u+λ2(Iα*|u|^(p2))|u|p^(2-2)*** the energy space H^(1)(R^(N))forλ_(1)λ_(2)=-*** establish a scattering criterion for radial solution together with Morawetz estimate which implies the scattering *** show that the defocusing perturbation terms does not determine the scattering solution in energy space.