Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decay estimates for the one-dimensional wave equation with an inverse
  power potential   We study the wave equation on the real line with a potential that falls off
like $|x|^{-\alpha}$ for $|x| \to \infty$ where $2 < \alpha \leq 4$. We prove
that the solution decays pointwise like $t^{-\alpha}$ as $t \to \infty$
provided that there are no resonances at zero energy and no bound states. As an
application we consider the $\ell=0$ Price Law for Schwarzschild black holes.
This paper is part of our investigations into decay of linear waves on a
Schwarzschild background.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga