The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces

Author

Rowan Killip
Satoshi Masaki
Jason Murphy, Missouri University of Science and TechnologyFollow
Monica Visan

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.

Recommended Citation

R. Killip et al., "The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces," Discrete and Continuous Dynamical Systems - Series A, vol. 39, no. 1, pp. 553 - 583, American Institute of Mathematical Sciences (AIMS), Jan 2019.

The definitive version is available at https://doi.org/10.3934/dcds.2019023

Department(s)

Mathematics and Statistics

Keywords and Phrases

Mass-subcritical.; Nonlinear Schrodinger equation; Scattering

International Standard Serial Number (ISSN)

1078-0947; 1553-5231

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 American Institute of Mathematical Sciences (AIMS), All rights reserved.

Publication Date

01 Jan 2019