  This note studies the asymptotic behavior of global solutions to the
fourth-order generalized Hartree equation $$i\dot u+\Delta^2
u\pm(I_\alpha*|u|^p)|u|^{p-2}u=0.$$ Indeed, for both attractive and repulsive
sign, the scattering is obtained in the mass super-critical and energy
sub-critical regimes, with radial setting.

Analysis of PDEs