Abstract
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.