Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the mean ergodicity of weak solutions of an abstract evolution
  equation   Found are conditions of rather general nature sufficient for the existence of
the limit at infinity of the Ces\`{a}ro means \begin{equation*} \frac{1}{t}
\int_0^ty(s)\,ds \end{equation*} for every bounded weak solution $y(\cdot)$ of
the abstract evolution equation \begin{equation*} y'(t)=Ay(t),\ t\ge 0,
\end{equation*} with a closed linear operator $A$ in a Banach space $X$.

33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex