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Global well-posedness and scattering for mass-critical Hartree equation

Ma, Zuyu et al.
arXiv (All) · Papers
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In this paper, we prove that the defocusing mass-critical Hartree equation is global well-posed and scatters for any initial data $u_0\in L^2$, and prove the analogous result in the focusing case, provided the mass of $u_0$ is strictly less than that of the ground state $Q$. This result removes the
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