Geodesic
Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
Changxing Miao1 ; Guixiang Xu1 ; Lifeng Zhao2
1 Institute of Applied Physics and Computational Mathematics P.O. Box 8009 Beijing, China, 100088
2 Department of Mathematics University of Science and Technology of China
Colloquium Mathematicum, Tome 114 (2009) no. 2, pp. 213-236.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\mathbb{R}\times \mathbb{R}^d$, $d\geq 5$.
DOI : 10.4064/cm114-2-5
Keywords: establish global existence scattering radial solutions energy critical focusing hartree equation energy dot norm those ground state mathbb times mathbb geq

Changxing Miao 1 ; Guixiang Xu 1 ; Lifeng Zhao 2

1 Institute of Applied Physics and Computational Mathematics P.O. Box 8009 Beijing, China, 100088
2 Department of Mathematics University of Science and Technology of China 
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Changxing Miao; Guixiang Xu; Lifeng Zhao. Global well-posedness, scattering and blow-up for the
 energy-critical, focusing Hartree equation in the radial case. Colloquium Mathematicum, Tome 114 (2009) no. 2, pp. 213-236. doi : 10.4064/cm114-2-5. http://geodesic.mathdoc.fr/articles/10.4064/cm114-2-5/

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