{ "id": "2101.09172", "version": "v1", "published": "2021-01-21T17:09:18.000Z", "updated": "2021-01-21T17:09:18.000Z", "title": "The $L^{2}$ sequential convergence of a solution to the mass-critical NLS above the ground state", "authors": [ "Benjamin Dodson" ], "comment": "arXiv admin note: text overlap with arXiv:2011.02569", "categories": [ "math.AP" ], "abstract": "In this paper we generalize a weak sequential result of \\cite{fan20182} to a non-scattering solutions in dimension $d \\geq 2$. No symmetry assumptions are required for the initial data. We build on a previous result of \\cite{dodson20202} for one dimension.", "revisions": [ { "version": "v1", "updated": "2021-01-21T17:09:18.000Z" } ], "analyses": { "subjects": [ "35Q55" ], "keywords": [ "ground state", "sequential convergence", "mass-critical nls", "weak sequential result", "initial data" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }