---
res:
  bibo_abstract:
  - We consider the focusing cubic nonlinear Schrödinger equation (NLS) in the exterior
    Ω of a smooth, compact, strictly convex obstacle in three dimensions. We prove
    that the threshold for global existence and scattering is the same as for the
    problem posed on Euclidean space. Specifically, we prove that if E(u0)M(u0)<E(Q)M(Q)
    and ||u0||2||u0||2<\|\nabla Q||2||Q||2, the corresponding solution to the initial
    value problem with Dirichlet boundary conditions exists globally and scatters
    to linear evolutions asymptotically in the future and in the past. Here, Q(x)
    denotes the ground state for the focusing cubic NLS in ℝ3. @eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Rowan
      foaf_name: Killip, Rowan
      foaf_surname: Killip
  - foaf_Person:
      foaf_givenName: Monica
      foaf_name: Visan, Monica
      foaf_surname: Visan
      foaf_workInfoHomepage: http://www.librecat.org/personId=056daca0-b8d1-11f0-964f-f91054abf8ca
  - foaf_Person:
      foaf_givenName: Xiaoyi
      foaf_name: Zhang, Xiaoyi
      foaf_surname: Zhang
  bibo_doi: 10.1093/amrx/abv012
  bibo_issue: '1'
  bibo_volume: 2016
  dct_date: 2016^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1687-1200
  - http://id.crossref.org/issn/1687-1197
  dct_language: eng
  dct_publisher: Oxford University Press@
  dct_title: The focusing cubic NLS on exterior domains in three dimensions@
...