---
res:
  bibo_abstract:
  - Using the two-dimensional nonlinear Schrödinger equation as a model example, we
    present a general method for recovering the nonlinearity of a nonlinear dispersive
    equation from its small-data scattering behavior. We prove that under very mild
    assumptions on the nonlinearity, the wave operator uniquely determines the nonlinearity,
    as does the scattering map. Evaluating the scattering map on well-chosen initial
    data, we reduce the problem to an inverse convolution problem, which we solve
    by means of an application of the Beurling–Lax Theorem.@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: 10.1090/proc/16297
  bibo_issue: '6'
  bibo_volume: 151
  dct_date: 2023^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0002-9939
  - http://id.crossref.org/issn/1088-6826
  dct_language: eng
  dct_publisher: American Mathematical Society@
  dct_title: The scattering map determines the nonlinearity@
...