Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
Volume 114 / 2009
Colloquium Mathematicum 114 (2009), 213-236
MSC: 35Q40, 35Q55, 47J35.
DOI: 10.4064/cm114-2-5
Abstract
We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and $\dot{H}^1$ norm less than those of the ground state in $\mathbb{R}\times \mathbb{R}^d$, $d\geq 5$.
