Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591786 | Journal of Functional Analysis | 2007 | 23 Pages |
Abstract
We consider the defocusing, -critical Hartree equation for the radial data in all dimensions (n⩾5). 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory