Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the wave equation with a large rough potential   We prove an optimal dispersive $L^{\infty}$ decay estimate for a three
dimensional wave equation perturbed with a large non smooth potential belonging
to a particular Kato class. The proof is based on a spectral representation of
the solution and suitable resolvent estimates for the perturbed operator.

25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con