Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semilinear wave equations on the Schwarzschild manifold I: Local decay
  estimates   The semilinear wave equation on the (outer) Schwarzschild manifold is
studied. We prove local decay estimates for general (non-radial) data, deriving
a-priori Morawetz type estimates.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol