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arXiv · 0801.3925

Global well-posedness and scattering for the mass-critical Hartree equation with radial data

Changxing Miao·Guixiang Xu·Lifeng Zhao
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Abstract

We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Hartree equation $iu_t+Δu=\pm(|x|^{-2}*|u|^2)u$ for large spherically symmetric $L^2_x(\Bbb{R}^d)$ initial data; in the focusing case we require, of course, that the mass is strictly less than that of the ground state.

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Changxing Miao, Guixiang Xu, Lifeng Zhao. 2008-12-26. Global well-posedness and scattering for the mass-critical Hartree equation with radial data. https://doi.org/10.1016/j.matpur.2008.09.003

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