Abstract
We consider the mass-subcritical nonlinear Schrödinger equation in all space dimensions with focusing or defocusing nonlinearity. For such equations with critical regularity \(s_c\in (\max \{-1,-\frac{d}{2}\},0)\), we prove that any solution satisfying
on its maximal interval of existence must be global and scatter.
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Killip, R., Masaki, S., Murphy, J. et al. Large data mass-subcritical NLS: critical weighted bounds imply scattering. Nonlinear Differ. Equ. Appl. 24, 38 (2017). https://doi.org/10.1007/s00030-017-0463-9
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DOI: https://doi.org/10.1007/s00030-017-0463-9