Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On an $H^r(\curl,\O)$ estimate for a Maxwell-type system in convex
  domains   In bounded convex domains, the regularity estimates of a vector field $\u$
with its $\dv\u$, $\curl\u$ in $L^r$ space and the tangential components or the
normal component of $\u$ over the boundary in $L^r$ space, are established for
$1<r<\infty$. As an application, we derive an $H^r(\curl,\O)$ estimate for
solutions to a Maxwell-type system with an inhomogeneous boundary condition in
convex domains.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat