A New Proof of Scattering below the Ground State for the Non-Radial Focusing NLS

Author

Benjamin Dodson
Jason Murphy, Missouri University of Science and TechnologyFollow

Abstract

We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial Ḣ^{1/ 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