Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative mode stability for the wave equation on the Kerr-Newman
  spacetime   Quantitative versions of mode stability type statements for the wave equation
on Kerr-Newman black holes are proven for the full sub-extremal range. The mode
stability result on the real axis is then applied to prove integrated local
energy decay for solutions restricted to a bounded frequency regime. This is an
important element of the proof of unrestricted boundedness and decay
statements, presented in a forthcoming companion paper.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn