Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An $H^{s,p}(\curl;\Omega)$ estimate for the Maxwell system   We derive an $H_{0}^{s,p}(\curl;\Omega)$ estimate for the solutions of the
Maxwell type equations modeled with anisotropic and $W^{s,
\infty}(\Omega)$-regular coefficients. Here, we obtain the regularity of the
solutions for the integrability and smoothness indices $(p, s)$ in a plan
domain characterized by the apriori lower/upper bounds of $a$ and the apriori
upper bound of its H{\"o}lder semi-norm of order $s$. The proof relies on a
perturbation argument generalizing Gr{\"o}ger's $L^p$-type estimate, known for
the elliptic problems, to the Maxwell system.

15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th