Global well-posedness and scattering hold for non-radial solutions of the defocusing energy-critical inhomogeneous NLS with |x|^{-b} coefficient when d ≥ 3 and 0 < b < min{2, d/2}.
Dodson,Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimensiond= 4, Ann
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Global well-posedness and scattering for defocusing energy-critical inhomogeneous NLS in dimensions $d\ge 3$
Global well-posedness and scattering hold for non-radial solutions of the defocusing energy-critical inhomogeneous NLS with |x|^{-b} coefficient when d ≥ 3 and 0 < b < min{2, d/2}.