Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of electromagnetic fields in convex domains   In this paper the "strong" Maxwell operator defined on fields from the
Sobolev space $W_2^1$, and the "weak" Maxwell operator defined on the natural
domain are considered. It is shown that in a convex domain, and, more
generally, in a domain, which is locally $(W_3^2 \cap
W^1_\infty)$-diffeomorphic to convex one, the "strong" and the "weak" Maxwell
operators coincide.

32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex