A Physical-Space Approach to Modified Scattering for the 3D Hartree Equation: Full-Space and Robin Half-Space

Benoît Pausader, Mengyi Xie

We prove global well-posedness and modified scattering for the three-dimensional Hartree equation for small data in $H^{0,k}$, with $k>\frac{1}{2}$ on ${\mathbb{R}}^3$ and $k=1$ on the ha…