Scattering for the Non-Radial Defocusing Nonlinear Inhomogeneous Hartree Equation  

作　　者：TONG Chengjun WU Haigen XU Chengbin 

机构地区：[1]The Graduate School of China Academy of Engineering Physics,Beijing 10088,China [2]School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China [3]School of Mathematics and Statistics,Qinghai Normal University,Xining 810008,China

出　　处：《Journal of Partial Differential Equations》2024年第3期278-294,共17页偏微分方程（英文版）

基　　金：supported by Qinghai Natural Science Foundation(No.2024-ZJ-976).

摘　　要：The purpose of this paper is to study scattering theory for the energy subcritical solutions to the non-radial defocusing inhomogeneous Hartree equation iδ_(t)u+Δu=(I_(a)*|·|^(b)|u|^(p))|·|^(b)|u|^(p-2)u.Taking advantage of the decay factor in the nonlinearity instead of the embedding theorem,we establish the scattering criterion for the equation.Together with the Morawetz estimate,we obtain the scattering theory for the energy-subcritical case.

关 键 词：Inhomogeneous Hartree equation scattering theory Strichartz estimates Morawetz estimate 

分 类 号：O175[理学—数学]