Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointwise decay and smoothness for semilinear elliptic equations and
  travelling waves   We derive sharp decay estimates and prove holomorphic extensions for the
solutions of a class of semilinear nonlocal elliptic equations with linear part
given by a sum of Fourier multipliers with finitely smooth symbols at the
origin. Applications concern the decay and smoothness of travelling waves for
nonlinear evolution equations in fluid dynamics and plasma physics.

25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th