The radial mass-subcritical NLS in negative order Sobolev spaces
Killip R, Masaki S, Murphy J, Vişan M. 2019. The radial mass-subcritical NLS in negative order Sobolev spaces. Discrete and Continuous Dynamical Systems. 39(1), 553–583.
Download (ext.)
Journal Article
| Published
| English
Scopus indexed
Author
Killip, Rowan;
Masaki, Satoshi;
Murphy, Jason;
Vişan, MonicaISTA
Abstract
We consider the mass-subcritical NLS in dimensions d>=3 with radial initial data. In the defocusing case, we prove that any solution that remains bounded in the critical Sobolev space throughout its lifespan must be global and scatter. In the focusing case, we prove the existence of a threshold solution that has a compact flow.
Publishing Year
Date Published
2019-01-01
Journal Title
Discrete and Continuous Dynamical Systems
Publisher
American Institute of Mathematical Sciences
Volume
39
Issue
1
Page
553-583
ISSN
eISSN
IST-REx-ID
Cite this
Killip R, Masaki S, Murphy J, Vişan M. The radial mass-subcritical NLS in negative order Sobolev spaces. Discrete and Continuous Dynamical Systems. 2019;39(1):553-583. doi:10.3934/dcds.2019023
Killip, R., Masaki, S., Murphy, J., & Vişan, M. (2019). The radial mass-subcritical NLS in negative order Sobolev spaces. Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences. https://doi.org/10.3934/dcds.2019023
Killip, Rowan, Satoshi Masaki, Jason Murphy, and Monica Vişan. “The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces.” Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences, 2019. https://doi.org/10.3934/dcds.2019023.
R. Killip, S. Masaki, J. Murphy, and M. Vişan, “The radial mass-subcritical NLS in negative order Sobolev spaces,” Discrete and Continuous Dynamical Systems, vol. 39, no. 1. American Institute of Mathematical Sciences, pp. 553–583, 2019.
Killip R, Masaki S, Murphy J, Vişan M. 2019. The radial mass-subcritical NLS in negative order Sobolev spaces. Discrete and Continuous Dynamical Systems. 39(1), 553–583.
Killip, Rowan, et al. “The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces.” Discrete and Continuous Dynamical Systems, vol. 39, no. 1, American Institute of Mathematical Sciences, 2019, pp. 553–83, doi:10.3934/dcds.2019023.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Link(s) to Main File(s)
Access Level
Open Access
arXiv 
Google Scholar