Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of the stationary solutions of the Allen-Cahn equation with
  non-constant stiffness   We study the solutions of a generalized Allen-Cahn equation deduced from a
Landau energy functional, endowed with a non-constant higher order stiffness.
We assume the stiffness to be a positive function of the field and we discuss
the stability of the stationary solutions proving both linear and local
non-linear stability.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an