Threshold Scattering For The Focusing NLS With A Repulsive Potential
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
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
Comments
National Natural Science Foundation of China, Grant 11831004