Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data |
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Authors: | Changxing Miao Guixiang Xu Lifeng Zhao |
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Institution: | aInstitute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China |
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Abstract: | We consider the defocusing, -critical Hartree equation for the radial data in all dimensions (n5). 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. |
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Keywords: | Hartree equation Global well-posedness Scattering Morawetz estimate |
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