Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Averaging principle for a class of stochastic reaction-diffusion
  equations   We consider the averaging principle for stochastic reaction-diffusion
equations. Under some assumptions providing existence of a unique invariant
measure of the fast motion with the frozen slow component, we calculate
limiting slow motion. The study of solvability of Kolmogorov equations in
Hilbert spaces and the analysis of regularity properties of solutions, allow to
generalize the classical approach to finite-dimensional problems of this type
in the case of SPDE's.

11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph