Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solvability of initial-boundary value problems for non-autonomous
  evolution equations   The initial-boundary value problems for linear non-autonomous first order
evolution equations are examined. Our assumptions provide a unified treatment
which is applicable to many situations, where the domains of the operators may
change with time. We study existence, uniqueness and maximal regularity of
solutions in Sobolev spaces. In contrast to the previous results we use only
the continuity assumption on the operators in the main part of the equation.

7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph