The $L^{2}$ Sequential Convergence of a Solution to the One-Dimensional, Mass-Critical NLS above the Ground State

Benjamin Dodson

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Source: Crossref

Published: Jan 1, 2021

DOI: 10.1137/20m138538x

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Source abstract

In this paper we generalize a weak sequential result of [C. Fan, Int. Math. Res. Not. IMRN, 2021 (2021), pp. 4864--4906] to any nonscattering solutions in one dimension. No symmetry assumptions are required for the initial data.

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The $L^{2}$ Sequential Convergence of a Solution to the One-Dimensional, Mass-Critical NLS above the Ground State — Mathematical Frontier Network