Critical well-posedness and scattering results for fractional Hartree-type equations
Critical well-posedness and scattering results for fractional Hartree-type equations
Scattering for the mass-critical fractional Schrödinger equation with a cubic Hartree-type nonlinearity for initial data in a small ball in the scale-invariant space of three-dimensional radial and square-integrable initial data is established. For this, we prove a bilinear estimate for free solutions and extend it to perturbations of bounded quadratic …