Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

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Abstract

We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and H1 norm less than those of the ground state in ℝ × ℝd, d ≥ 5.

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Miao, C., Xu, G., & Zhao, L. (2009). Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case. Colloquium Mathematicum, 114(2), 213–236. https://doi.org/10.4064/cm114-2-5

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