Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved duality estimates and applications to reaction-diffusion
  equations   We present a refined duality estimate for parabolic equations. This estimate
entails new results for systems of reaction-diffusion equations, including
smoothness and exponential convergence towards equilibrium for equations with
quadratic right-hand sides in two dimensions. For general systems in any space
dimension, we obtain smooth solutions of reaction-diffusion systems coming out
of reversible chemistry under an assumption that the diffusion coefficients are
sufficiently close one to another.

30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an