For d≥3, small perturbations of homogeneous stationary states of the Hartree equation scatter linearly, at the optimal Sobolev and Schatten exponents, for any interaction potential with bounded Fourier transform.
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Scattering for the positive density Hartree equation
For d≥3, small perturbations of homogeneous stationary states of the Hartree equation scatter linearly, at the optimal Sobolev and Schatten exponents, for any interaction potential with bounded Fourier transform.