---
OA_place: repository
OA_type: green
_id: '22036'
abstract:
- lang: eng
  text: We prove dispersive decay, pointwise in time, for solutions to the mass-critical
    nonlinear Schrödinger equation in spatial dimensions d= 1, 2, 3.
article_number: '21'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chenjie
  full_name: Fan, Chenjie
  last_name: Fan
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
- first_name: Zehua
  full_name: Zhao, Zehua
  last_name: Zhao
citation:
  ama: Fan C, Killip R, Vişan M, Zhao Z. Dispersive decay for the mass-critical nonlinear
    Schrödinger equation. <i>Mathematische Zeitschrift</i>. 2025;311. doi:<a href="https://doi.org/10.1007/s00209-025-03821-8">10.1007/s00209-025-03821-8</a>
  apa: Fan, C., Killip, R., Vişan, M., &#38; Zhao, Z. (2025). Dispersive decay for
    the mass-critical nonlinear Schrödinger equation. <i>Mathematische Zeitschrift</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s00209-025-03821-8">https://doi.org/10.1007/s00209-025-03821-8</a>
  chicago: Fan, Chenjie, Rowan Killip, Monica Vişan, and Zehua Zhao. “Dispersive Decay
    for the Mass-Critical Nonlinear Schrödinger Equation.” <i>Mathematische Zeitschrift</i>.
    Springer Nature, 2025. <a href="https://doi.org/10.1007/s00209-025-03821-8">https://doi.org/10.1007/s00209-025-03821-8</a>.
  ieee: C. Fan, R. Killip, M. Vişan, and Z. Zhao, “Dispersive decay for the mass-critical
    nonlinear Schrödinger equation,” <i>Mathematische Zeitschrift</i>, vol. 311. Springer
    Nature, 2025.
  ista: Fan C, Killip R, Vişan M, Zhao Z. 2025. Dispersive decay for the mass-critical
    nonlinear Schrödinger equation. Mathematische Zeitschrift. 311, 21.
  mla: Fan, Chenjie, et al. “Dispersive Decay for the Mass-Critical Nonlinear Schrödinger
    Equation.” <i>Mathematische Zeitschrift</i>, vol. 311, 21, Springer Nature, 2025,
    doi:<a href="https://doi.org/10.1007/s00209-025-03821-8">10.1007/s00209-025-03821-8</a>.
  short: C. Fan, R. Killip, M. Vişan, Z. Zhao, Mathematische Zeitschrift 311 (2025).
das_tickbox: '1'
date_created: 2026-06-19T07:44:05Z
date_published: 2025-07-24T00:00:00Z
date_updated: 2026-06-22T13:00:14Z
day: '24'
doi: 10.1007/s00209-025-03821-8
extern: '1'
external_id:
  arxiv:
  - '2403.09989'
intvolume: '       311'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2403.09989
month: '07'
oa: 1
oa_version: Preprint
publication: Mathematische Zeitschrift
publication_identifier:
  eissn:
  - 1432-1823
  issn:
  - 0025-5874
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dispersive decay for the mass-critical nonlinear Schrödinger equation
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 311
year: '2025'
...