Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactness of the embedding operators for rough domains   New classes of non-smooth bounded domains D, for which the embedding operator
from H^1(D) into L^2(D) is compact are introduced. Examples are given and
applications to scattering by rough obstacles are mentioned.

26
The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th