A New Proof of Scattering below the Ground State for the Non-Radial Focusing NLS
We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial Ḣ1/ 2-critical focusing NLS. By proving an interaction Morawetz inequality, we give a simple proof of scattering below the ground state in dimensions d ≥ 3 that avoids the use of concentration compactness.
B. Dodson and J. Murphy, "A New Proof of Scattering below the Ground State for the Non-Radial Focusing NLS," Mathematical Research Letters, vol. 25, no. 6, pp. 1805-1825, International Press, Nov 2018.
The definitive version is available at https://doi.org/10.4310/MRL.2018.v25.n6.a5
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
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01 Nov 2018