Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic, almost periodic and almost automorphic solutions for SPDEs
  with monotone coefficients   In this paper, we use the variational approach to investigate recurrent
properties of solutions for stochastic partial differential equations, which is
in contrast to the previous semigroup framework. Consider stochastic
differential equations with monotone coefficients. Firstly, we establish the
continuous dependence on initial values and coefficients for solutions.
Secondly, we prove the existence of recurrent solutions, which include
periodic, almost periodic and almost automorphic solutions. Then we show that
these recurrent solutions are globally asymptotically stable in square-mean
sense. Finally, for illustration of our results we give two applications, i.e.
stochastic reaction diffusion equations and stochastic porous media equations.

20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th