Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential

Alex H. Ardila; Masaru Hamano; Masahiro Ikeda

Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential

Analysis of PDEs 2022-02-24 v1

Authors: Alex H. Ardila , Masaru Hamano , Masahiro Ikeda

Abstract

In this paper we study long time dynamics (i.e., scattering and blow-up) of solutions for the focusing NLS with a repulsive inverse-power potential and with initial data lying exactly at the mass-energy threshold, namely, when $E_{V}(u_{0})M(u_{0})=E_{0}(Q)M(Q)$ . Moreover, we prove failure of the uniform space-time bounds at the mass-energy threshold.

Keywords

focusing nls repulsive inverse-power potential mass-energy threshold scattering blow-up uniform space-time bounds

Cite

@article{arxiv.2202.11640,
  title  = {Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential},
  author = {Alex H. Ardila and Masaru Hamano and Masahiro Ikeda},
  journal= {arXiv preprint arXiv:2202.11640},
  year   = {2022}
}

Comments

21 pages

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