Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transition fronts for inhomogeneous monostable reaction-diffusion
  equations via linearization at zero   We prove existence of transition fronts for a large class of
reaction-diffusion equations in one dimension, with inhomogeneous monostable
reactions. We construct these as perturbations of corresponding front-like
solutions to the linearization of the PDE at $u=0$. While a close relationship
of the solutions to the two PDEs has been well known and exploited for KPP
reactions (and our method is an extension of such ideas from [15]), to the best
of our knowledge this is the first time such an approach has been used in the
construction and study of fronts for non-KPP monostable reactions.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci