Almost sure scattering for defocusing energy critical Hartree equation on ${\mathbb{R}}^5$

Liying Tao, Tengfei Zhao

We consider the defocusing energy-critical Hartree equation $i\pa_tu+Δu=(|\cdot|^{-4}\ast|u|^2)u$ in spatial dimension $d=5$ and prove almost sure scattering with initial data $u_0…