Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering

Author

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

Abstract

We consider the mass-subcritical nonlinear Schrödinger equation in all space dimensions with focusing or defocusing nonlinearity. For such equations with critical regularity s_c ∈ (max{-1, -d/2},0), we prove that any solution satisfying (Formula presented.) on its maximal interval of existence must be global and scatter.

Recommended Citation

R. Killip et al., "Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering," Nonlinear Differential Equations and Applications, vol. 24, no. 4, Springer Verlag, Aug 2017.

The definitive version is available at https://doi.org/10.1007/s00030-017-0463-9

Department(s)

Mathematics and Statistics

Keywords and Phrases

Concentration compactness; Nonlinear Schrödinger equations; Scattering

International Standard Serial Number (ISSN)

1021-9722; 1420-9004

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 Springer Verlag, All rights reserved.

Publication Date

01 Aug 2017