Threshold Scattering For The Focusing NLS With A Repulsive Potential

Author

Changxing Miao
Jason Murphy, Missouri University of Science and TechnologyFollow
Jiqiang Zheng

Abstract

We adapt the arguments in the recent work of Duyckaerts, Landoulsi, and Roudenko to establish a scattering result at the sharp threshold for the 3d focusing cubic NLS with a repulsive potential. We treat both the case of short-range potentials as previously considered in the work of Hong, as well as the inverse-square potential, previously considered in the work of the authors.

Recommended Citation

C. Miao et al., "Threshold Scattering For The Focusing NLS With A Repulsive Potential," Indiana University Mathematics Journal, vol. 72, no. 2, pp. 409 - 453, Indiana University Mathematics Journal, Jan 2023.

The definitive version is available at https://doi.org/10.1512/iumj.2023.72.9404

Department(s)

Mathematics and Statistics

Comments

National Natural Science Foundation of China, Grant 11831004

International Standard Serial Number (ISSN)

0022-2518

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Indiana University Mathematics Journal, All rights reserved.

Publication Date

01 Jan 2023