Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential. (8th February 2018)
- Record Type:
- Journal Article
- Title:
- Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential. (8th February 2018)
- Main Title:
- Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential
- Authors:
- Masaki, Satoshi
Murphy, Jason
Segata, Jun-Ichi - Abstract:
- Abstract: We consider the initial-value problem for the one-dimensional cubic nonlinear Schrödinger equation with a repulsive delta potential. We prove that small initial data in a weighted Sobolev space lead to global solutions that decay in $L^{\infty }$ and exhibit modified scattering.
- Is Part Of:
- International mathematics research notices. Volume 2019:Number 24(2019)
- Journal:
- International mathematics research notices
- Issue:
- Volume 2019:Number 24(2019)
- Issue Display:
- Volume 2019, Issue 24 (2019)
- Year:
- 2019
- Volume:
- 2019
- Issue:
- 24
- Issue Sort Value:
- 2019-2019-0024-0000
- Page Start:
- 7577
- Page End:
- 7603
- Publication Date:
- 2018-02-08
- Subjects:
- Mathematics -- Periodicals
510 - Journal URLs:
- http://imrn.oxfordjournals.org/ ↗
http://ukcatalogue.oup.com/ ↗ - DOI:
- 10.1093/imrn/rny011 ↗
- Languages:
- English
- ISSNs:
- 1073-7928
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 4544.001000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 13202.xml