706 research outputs found
Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
We consider the defocusing, -critical Hartree equation for the
radial data in all dimensions . We show the global well-posedness
and scattering results in the energy space. The new ingredient in this paper is
that we first take advantage of the term in the localized Morawetz
identity to rule out the possibility of energy concentration, instead of the
classical Morawetz estimate dependent of the nonlinearity.Comment: 23 pages, 1 figur
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