@article{22084,
  abstract     = {We consider the nonlinear Schrödinger equation in three space dimensions with combined focusing cubic and defocusing quintic nonlinearity. This problem was considered previously by Killip et al. [Arch. Ration. Mech. Anal., 225 (2017), pp. 469--548], who proved scattering for the whole region of the mass/energy plane where the virial quantity is guaranteed to be positive. In this paper, we prove scattering in a slightly larger region where, in particular, the virial quantity is no longer guaranteed to be sign definite.},
  author       = {Killip, Rowan and Murphy, Jason and Visan, Monica},
  issn         = {1095-7154},
  journal      = {SIAM Journal on Mathematical Analysis},
  keywords     = {NLS, scattering, viral},
  number       = {5},
  pages        = {5803--5812},
  publisher    = {Society for Industrial & Applied Mathematics},
  title        = {{Scattering for the cubic-quintic NLS: Crossing the virial threshold}},
  doi          = {10.1137/20m1381824},
  volume       = {53},
  year         = {2021},
}