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.T...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.展开更多
基金supported by Qinghai Natural Science Foundation(No.2024-ZJ-976).
文摘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.
