---
OA_place: repository
OA_type: green
_id: '22062'
abstract:
- lang: eng
  text: We prove that the derivative nonlinear Schrödinger equation in one space dimension
    is globally well-posed on the line in L^2 (R), which is the scaling-critical space
    for this equation.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Benjamin
  full_name: Harrop-Griffiths, Benjamin
  last_name: Harrop-Griffiths
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Maria
  full_name: Ntekoume, Maria
  last_name: Ntekoume
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Harrop-Griffiths B, Killip R, Ntekoume M, Vişan M. Global well-posedness for
    the derivative nonlinear Schrödinger equation in L^2(R). <i>Journal of the European
    Mathematical Society</i>. 2024;28(2):843-924. doi:<a href="https://doi.org/10.4171/jems/1490">10.4171/jems/1490</a>
  apa: Harrop-Griffiths, B., Killip, R., Ntekoume, M., &#38; Vişan, M. (2024). Global
    well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). <i>Journal
    of the European Mathematical Society</i>. EMS Press. <a href="https://doi.org/10.4171/jems/1490">https://doi.org/10.4171/jems/1490</a>
  chicago: Harrop-Griffiths, Benjamin, Rowan Killip, Maria Ntekoume, and Monica Vişan.
    “Global Well-Posedness for the Derivative Nonlinear Schrödinger Equation in L^2(R).”
    <i>Journal of the European Mathematical Society</i>. EMS Press, 2024. <a href="https://doi.org/10.4171/jems/1490">https://doi.org/10.4171/jems/1490</a>.
  ieee: B. Harrop-Griffiths, R. Killip, M. Ntekoume, and M. Vişan, “Global well-posedness
    for the derivative nonlinear Schrödinger equation in L^2(R),” <i>Journal of the
    European Mathematical Society</i>, vol. 28, no. 2. EMS Press, pp. 843–924, 2024.
  ista: Harrop-Griffiths B, Killip R, Ntekoume M, Vişan M. 2024. Global well-posedness
    for the derivative nonlinear Schrödinger equation in L^2(R). Journal of the European
    Mathematical Society. 28(2), 843–924.
  mla: Harrop-Griffiths, Benjamin, et al. “Global Well-Posedness for the Derivative
    Nonlinear Schrödinger Equation in L^2(R).” <i>Journal of the European Mathematical
    Society</i>, vol. 28, no. 2, EMS Press, 2024, pp. 843–924, doi:<a href="https://doi.org/10.4171/jems/1490">10.4171/jems/1490</a>.
  short: B. Harrop-Griffiths, R. Killip, M. Ntekoume, M. Vişan, Journal of the European
    Mathematical Society 28 (2024) 843–924.
date_created: 2026-06-19T08:11:46Z
date_published: 2024-06-26T00:00:00Z
date_updated: 2026-06-30T07:04:07Z
day: '26'
doi: 10.4171/jems/1490
extern: '1'
external_id:
  arxiv:
  - '2204.12548'
intvolume: '        28'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2204.12548
mathsc:
- 35Q55
month: '06'
oa: 1
oa_version: Preprint
page: 843-924
publication: Journal of the European Mathematical Society
publication_identifier:
  eissn:
  - 1435-9863
  issn:
  - 1435-9855
publication_status: published
publisher: EMS Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Global well-posedness for the derivative nonlinear Schrödinger equation in
  L^2(R)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 28
year: '2024'
...