Title

The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces

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.

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, All rights reserved.

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