Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

Details Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

2007-12-29

arxiv.org/abs/0801.0019v2

Colloquium Mathematicum, 114(2009)213-236

Mathematics

Analysis of PDEs

35 pages, 2 figures

Scientific paper

10.4064/cm114-2-5

We establish global existence, 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 $\mathbb{R}\times \mathbb{R}^d$, $d\geq 5$.

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