Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodicity and Kolmogorov equations for dissipative SPDEs with singular
  drift: a variational approach   We prove existence of invariant measures for the Markovian semigroup
generated by the solution to a parabolic semilinear stochastic PDE whose
nonlinear drift term satisfies only a kind of symmetry condition on its
behavior at infinity, but no restriction on its growth rate is imposed. Thanks
to strong integrability properties of invariant measures $\mu$, solvability of
the associated Kolmogorov equation in $L^1(\mu)$ is then established, and the
infinitesimal generator of the transition semigroup is identified as the
closure of the Kolmogorov operator. A key role is played by a generalized
variational setting.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci