---
res:
  bibo_abstract:
  - "We consider the initial-value problem for the cubic-quintic nonlinear Schrödinger
    equation (\U0001D456\U0001D715\U0001D461+Δ)⁢\U0001D713 =\U0001D6FC1⁢\U0001D713
    −\U0001D6FC3⁢|\U0001D713|2⁢\U0001D713 +\U0001D6FC5⁢|\U0001D713|4⁢\U0001D713 in
    three spatial dimensions in the class of solutions with |\U0001D713⁡(\U0001D465)|
    →\U0001D450 >0 as |\U0001D465| →∞. Here \U0001D6FC1, \U0001D6FC3, \U0001D6FC5,
    and \U0001D450 are such that \U0001D713⁡(\U0001D465) ≡\U0001D450 is an energetically
    stable equilibrium solution to this equation. Normalizing the boundary condition
    to \U0001D713⁡(\U0001D465) →1 as |\U0001D465| →∞, we study the associated initial-value
    problem for \U0001D462 =\U0001D713 −1 and prove a scattering result for small
    initial data in a weighted Sobolev space.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Rowan
      foaf_name: Killip, Rowan
      foaf_surname: Killip
  - foaf_Person:
      foaf_givenName: Jason
      foaf_name: Murphy, Jason
      foaf_surname: Murphy
  - foaf_Person:
      foaf_givenName: Monica
      foaf_name: Visan, Monica
      foaf_surname: Visan
      foaf_workInfoHomepage: http://www.librecat.org/personId=056daca0-b8d1-11f0-964f-f91054abf8ca
  bibo_doi: 10.1137/17m1116702
  bibo_issue: '3'
  bibo_volume: 50
  dct_date: 2018^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0036-1410
  - http://id.crossref.org/issn/1095-7154
  dct_language: eng
  dct_publisher: Society for Industrial & Applied Mathematics@
  dct_subject:
  - cubic-quintic NLS
  - nonvanishing boundary conditions
  - space-time resonances
  - scattering
  dct_title: The initial-value problem for the cubic-quintic NLS with nonvanishing
    boundary conditions@
...