Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
Changxing Miao ; Guixiang Xu ; Lifeng Zhao
Colloquium Mathematicae, Tome 116 (2009), p. 213-236 / Harvested from The Polish Digital Mathematics Library
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We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and Ḣ¹ norm less than those of the ground state in ℝ×ℝd, d ≥ 5.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283662 
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     author = {Changxing Miao and Guixiang Xu and Lifeng Zhao},
     title = {Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case},
     journal = {Colloquium Mathematicae},
     volume = {116},
     year = {2009},
     pages = {213-236},
     zbl = {1160.35508},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-2-5}
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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 Mathematicae, Tome 116 (2009) pp. 213-236. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-2-5/