Scattering Theory for a Class of Radial Focusing Inhomogeneous Hartree Equations

This paper studies the asymptotic behavior of global solutions to the generalized Hartree equation i u ̇ + Δ u + ( I α ∗ | ⋅ | b | u | p ) | x | b | u | p − 2 u = 0. Indeed, using a new approach due to (Dodson et al. Proc. Amer. Math. Soc. 145 (11), 4859–4867, 2017 ), one proves the scattering of the above inhomogeneous Choquard equation in the mass-super-critical and energy sub-critical regimes with radial setting.