English

$L^2$ concentration of blow-up solutions for the mass-critical NLS with inverse-square potential

Analysis of PDEs 2018-03-19 v1

Abstract

In this paper, we prove a refined version of a compactness lemma and we use it to establish mass-concentration for the focusing nonlinear Schr\"{o}dinger equation with an inverse-square potential.

Keywords

Cite

@article{arxiv.1803.05944,
  title  = {$L^2$ concentration of blow-up solutions for the mass-critical NLS with inverse-square potential},
  author = {Abdelwahab Bensouilah},
  journal= {arXiv preprint arXiv:1803.05944},
  year   = {2018}
}

Comments

12 pages, no figures, under review