TY - JOUR
T1 - Scattering for the Non-Radial Defocusing Nonlinear Inhomogeneous Hartree Equation
AU - Tong , Chengjun
AU - Wu , Haigen
AU - Xu , Chengbin
JO - Journal of Partial Differential Equations
VL - 3
SP - 278
EP - 294
PY - 2024
DA - 2024/08
SN - 37
DO - http://doi.org/10.4208/jpde.v37.n3.4
UR - https://global-sci.org/intro/article_detail/jpde/23343.html
KW - Inhomogeneous Hartree equation, scattering theory, Strichartz estimates, Morawetz estimate.
AB - <div style="text-align: justify;">The purpose of this paper is to study scattering theory for the energy subcritical solutions to the non-radial defocusing inhomogeneous Hartree equation $$i\partial_tu+\Delta u=(I_\alpha\ast|\cdot|^b|u|^{p})|\cdot|^b|u|^{p-2}u.$$ 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.</div>