Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slow convergence in periodic homogenization problems for divergence type
  elliptic operators   We introduce a new constructive method for establishing lower bounds on
convergence rates of periodic homogenization problems associated with
divergence type elliptic operators. The construction is applied in two
settings. First, we show that solutions to boundary layer problems for
divergence type elliptic equations set in halfspaces and with infinitely smooth
data, may converge to their corresponding boundary layer tails as slow as one
wish depending on the position of the hyperplane. Second, we construct a
Dirichlet problem for divergence type elliptic operators set in a bounded
domain, and with all data being $C^\infty$-smooth, for which the boundary value
homogenization holds with arbitrarily slow speed.

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The categories of this paper are: eess
18
The categories of this paper are: econ
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc