Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^2$ concentration of blow-up solutions for the mass-critical NLS with
  inverse-square potential   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.

35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs