Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization and norm resolvent convergence for elliptic operators in
  a strip perforated along a curve   We consider an infinite planar straight strip perforated by small holes along
a curve. In such domain, we consider a general second order elliptic operator
subject to classical boundary conditions on the holes. Assuming that the
perforation is non-periodic and satisfies rather weak assumptions, we describe
all possible homogenized problems. Our main result is the norm resolvent
convergence of the perturbed operator to a homogenized one in various operator
norms and the estimates for the rate of convergence. On the basis of the norm
resolvent convergence, we prove the convergence of the spectrum.

1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph