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

Changxing Miao , Guixiang Xu , Lifeng Zhao

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classification 🧮 math.AP math-phmath.MP

keywords energy-criticalequationfocusingglobalhartreemathbbradialscattering

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We establish global existence, scattering for radial solutions to the energy-critical focusing Hartree equation with energy and $\dot{H}^1$ norm less than those of the ground state in $\mathbb{R}\times \mathbb{R}^d$, $d\geq 5$.

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

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