Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A $W^n_2$-Theory of Elliptic and Parabolic Partial Differential Systems
  in $C^1$ domains   In this paper second-order elliptic and parabolic partial differential
systems are considered on $C^1$ domains. Existence and uniqueness results are
obtained in terms of Sobolev spaces with weights so that we allow the
derivatives of the solutions to blow up near the boundary. The coefficients of
the systems are allowed to substantially oscillate or blow up near the
boundary.

14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th