A New Proof of Scattering below the Ground State for the Non-Radial Focusing NLS
Abstract
We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial Ḣ1/ 2-critical focusing NLS. By proving an interaction Morawetz inequality, we give a simple proof of scattering below the ground state in dimensions d ≥ 3 that avoids the use of concentration compactness.
Recommended Citation
B. Dodson and J. Murphy, "A New Proof of Scattering below the Ground State for the Non-Radial Focusing NLS," Mathematical Research Letters, vol. 25, no. 6, pp. 1805 - 1825, International Press, Nov 2018.
The definitive version is available at https://doi.org/10.4310/MRL.2018.v25.n6.a5
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
1073-2780; 1945-001X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2018 International Press, All rights reserved.
Publication Date
01 Nov 2018
