---
OA_place: repository
OA_type: green
_id: '22025'
abstract:
- lang: eng
  text: We consider the mass-subcritical nonlinear Schr¨odinger equation in all space
    dimensions with focusing or defocusing nonlinearity. For such equations with critical
    regularity sc ∈ (max{−1, −d/2 }, 0), we prove that any solution satisfying {mathematical
    formular} on its maximal interval of existence must be global and scatter.
article_number: '38'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Satoshi
  full_name: Masaki, Satoshi
  last_name: Masaki
- first_name: Jason
  full_name: Murphy, Jason
  last_name: Murphy
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: 'Killip R, Masaki S, Murphy J, Vişan M. Large data mass-subcritical NLS: Critical
    weighted bounds imply scattering. <i>Nonlinear Differential Equations and Applications
    NoDEA</i>. 2017;24(4). doi:<a href="https://doi.org/10.1007/s00030-017-0463-9">10.1007/s00030-017-0463-9</a>'
  apa: 'Killip, R., Masaki, S., Murphy, J., &#38; Vişan, M. (2017). Large data mass-subcritical
    NLS: Critical weighted bounds imply scattering. <i>Nonlinear Differential Equations
    and Applications NoDEA</i>. Springer Nature. <a href="https://doi.org/10.1007/s00030-017-0463-9">https://doi.org/10.1007/s00030-017-0463-9</a>'
  chicago: 'Killip, Rowan, Satoshi Masaki, Jason Murphy, and Monica Vişan. “Large
    Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” <i>Nonlinear
    Differential Equations and Applications NoDEA</i>. Springer Nature, 2017. <a href="https://doi.org/10.1007/s00030-017-0463-9">https://doi.org/10.1007/s00030-017-0463-9</a>.'
  ieee: 'R. Killip, S. Masaki, J. Murphy, and M. Vişan, “Large data mass-subcritical
    NLS: Critical weighted bounds imply scattering,” <i>Nonlinear Differential Equations
    and Applications NoDEA</i>, vol. 24, no. 4. Springer Nature, 2017.'
  ista: 'Killip R, Masaki S, Murphy J, Vişan M. 2017. Large data mass-subcritical
    NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations
    and Applications NoDEA. 24(4), 38.'
  mla: 'Killip, Rowan, et al. “Large Data Mass-Subcritical NLS: Critical Weighted
    Bounds Imply Scattering.” <i>Nonlinear Differential Equations and Applications
    NoDEA</i>, vol. 24, no. 4, 38, Springer Nature, 2017, doi:<a href="https://doi.org/10.1007/s00030-017-0463-9">10.1007/s00030-017-0463-9</a>.'
  short: R. Killip, S. Masaki, J. Murphy, M. Vişan, Nonlinear Differential Equations
    and Applications NoDEA 24 (2017).
das_tickbox: '1'
date_created: 2026-06-19T07:32:33Z
date_published: 2017-06-15T00:00:00Z
date_updated: 2026-06-22T10:26:09Z
day: '15'
doi: 10.1007/s00030-017-0463-9
extern: '1'
external_id:
  arxiv:
  - '1606.01512'
intvolume: '        24'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1606.01512
month: '06'
oa: 1
oa_version: Preprint
publication: Nonlinear Differential Equations and Applications NoDEA
publication_identifier:
  eissn:
  - 1420-9004
  issn:
  - 1021-9722
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Large data mass-subcritical NLS: Critical weighted bounds imply scattering'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2017'
...