Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of square root domains associated with elliptic systems of
  PDEs on nonsmooth domains   We discuss stability of square root domains for uniformly elliptic partial
differential operators $L_{a,\Omega,\Gamma} = -\nabla\cdot a \nabla$ in
$L^2(\Omega)$, with mixed boundary conditions on $\partial \Omega$, with
respect to additive perturbations. We consider open, bounded, and connected
sets $\Omega \in \mathbb{R}^n$, $n \in \mathbb{N} \backslash\{1\}$, that
satisfy the interior corkscrew condition and prove stability of square root
domains of the operator $L_{a,\Omega,\Gamma}$ with respect to additive
potential perturbations $V \in L^p(\Omega) + L^{\infty}(\Omega)$, $p>n/2$.
  Special emphasis is put on the case of uniformly elliptic systems with mixed
boundary conditions.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th