4.6 Article

The L2 sequential convergence of a solution to the mass-critical NLS above the ground state

Journal

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2021.112612

Keywords

NLS; Convergence; Soliton

Funding

  1. NSF, United States [DMS-1764358]

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This paper generalizes a weak sequential result from Fan (2021) to non scattering solutions in dimensions equal to or greater than 2. No symmetry assumptions are necessary for the initial data, building upon Dodson's (2020) previous result in one dimension.
In this paper we generalize a weak sequential result of Fan (2021) to a non scattering solutions in dimension d >= 2. No symmetry assumptions are required for the initial data. We build on a previous result of Dodson (2020) for one dimension. (C) 2021 Elsevier Ltd. All rights reserved.

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