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Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data - MaRDI portal

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data (Q2466523)

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Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
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    Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data (English)
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    15 January 2008
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    The authors consider the defocusing critical Hartree equation for radial data in five or more dimensions. Their main result is Theorem 5.5, where they prove global well-posedness in the energy space for radial data. In Corollary 1.1 they obtain scattering, asymptotic completeness and uniform regularity.
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    Hartree equation
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    global well posedness
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    scattering
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