A New Proof of Scattering below the Ground State for the 3D Radial Focusing Cubic NLS

Author

Benjamin Dodson
Jason Murphy, Missouri University of Science and TechnologyFollow

Abstract

We revisit the scattering result of Holmer and Roudenko (2008) on the radial focusing cubic NLS in three space dimensions. Using the radial Sobolev embedding and a virial/Morawetz estimate, we give a simple proof of scattering below the ground state 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 3D Radial Focusing Cubic NLS," Proceedings of the American Mathematical Society, vol. 145, no. 11, pp. 4859 - 4867, American Mathematical Society, Nov 2017.

The definitive version is available at https://doi.org/10.1090/proc/13678

Department(s)

Mathematics and Statistics

Comments

The first author was supported by NSF DMS-1500424. The second author was supported by the NSF Postdoctoral Fellowship DMS-1400706. This work was carried out while the authors were visiting the IMA at the University of Minnesota, which provided an ideal working environment.

International Standard Serial Number (ISSN)

0002-9939; 1088-6826

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 American Mathematical Society, All rights reserved.

Publication Date

01 Nov 2017