Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of equilibrium solutions of a double power reaction diffusion
  equation with a Dirac interaction   In this paper we provide detailed information about the instability of
equilibrium solutions of a nonlinear family of localized reaction-difussion
equations in dimensione one. Beyond we provide explicit formulas to the
equilibrium solutions, via perturbation method and we calculate the exact
number of positive eigenvalues of the linear operator associated to the
stability problem, which allow us to compute the dimension of the unstable
manifold.

1
The categories of this paper are: cs
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc