Global well-posedness and scattering for the mass-critical Hartree equation with radial data

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dc.creatorMiao, Changxing
dc.creatorXu, Guixiang
dc.creatorZhao, Lifeng
dc.date2008-01-25
dc.date2008-12-26
dc.date.accessioned2026-07-07T12:27:46Z
dc.date.available2026-07-07T12:27:46Z
dc.descriptionWe establish global well-posedness and scattering for solutions to the mass-critical nonlinear Hartree equation $iu_t+Δu=\pm(|x|^{-2}*|u|^2)u$ for large spherically symmetric $L^2_x(\Bbb{R}^d)$ initial data; in the focusing case we require, of course, that the mass is strictly less than that of the ground state.
dc.description38 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0801.3925
dc.identifierhttp://arxiv.org/abs/0801.3925
dc.identifierJ.Math.Pures Appl.91(2009)49-79
dc.identifierdoi:10.1016/j.matpur.2008.09.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215322
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q40, 35Q55, 47J35.
dc.titleGlobal well-posedness and scattering for the mass-critical Hartree equation with radial data
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