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

preprint2021arXivOpen access

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

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The L2L^{2}L2 sequential convergence of a solution to the mass-critical NLS above the ground state

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