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

Benjamin Dodson

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

Analysis of PDEs 2021-01-25 v1

Authors: Benjamin Dodson

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.

Keywords

mass-critical nls non-scattering solutions l2 sequential convergence ground state initial data

Cite

@article{arxiv.2101.09172,
  title  = {The $L^{2}$ sequential convergence of a solution to the mass-critical NLS above the ground state},
  author = {Benjamin Dodson},
  journal= {arXiv preprint arXiv:2101.09172},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2011.02569

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