Threshold Scattering For The Focusing NLS With A Repulsive Potential
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.
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
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2023