The $L^{2}$ sequential convergence of a solution to the mass-critical NLS above the ground state

Benjamin Dodson

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arXiv · 2101.09172

The $L^{2}$ sequential convergence of a solution to the mass-critical NLS above the ground state

Benjamin Dodson

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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.

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Benjamin Dodson. 2021-01-21. The $L^{2}$ sequential convergence of a solution to the mass-critical NLS above the ground state. https://arxiv.org/abs/2101.09172

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