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arXiv:0801.0019 [math.AP]AbstractReferencesReviewsResources

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

Changxing Miao, Guixiang Xu, Lifeng Zhao

Published 2007-12-29, updated 2008-01-03Version 2

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 $\mathbb{R}\times \mathbb{R}^d$, $d\geq 5$.

Comments: 35 pages, 2 figures
Journal: Colloquium Mathematicum, 114(2009)213-236
Categories: math.AP, math-ph, math.MP
Subjects: 35Q40, 35Q55, 47J35
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