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

Abdelwahab Bensouilah

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arXiv · 1803.05944

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

Abdelwahab Bensouilah

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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.

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Abdelwahab Bensouilah. 2018-03-15. $L^2$ concentration of blow-up solutions for the mass-critical NLS with inverse-square potential. https://arxiv.org/abs/1803.05944

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