Scattering for the generalized Hartree equation with a potential

Carlos M. Guzmán, Cristian Loli, Luis P. Yapu

We consider the focusing generalized Hartree equation in $H^1({\mathbb{R}}^3)$ with a potential, \begin{equation*} iu_t + Δu - V(x)u + (I_γ\ast |u|^p )|u|^{p-2} u=0, \end{equation*} where $I…