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

Abstract

In this paper we generalize a weak sequential result of \cite{fan20182} to a non-scattering solutions in dimension $d\ge 2$. No symmetry assumptions are required for the initial data. We build on a previous result of \cite{dodson20202} for one dimension.

arXiv admin note: text overlap with arXiv:2011.02569