Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral analysis of transport equations with bounce-back boundary
  conditions   We investigate the spectral properties of the time-dependent linear transport
equation with bounce-back boundary conditions. A fine analysis of the spectrum
of the streaming operator is given and the explicit expression of the strongly
continuous streaming semigroup is derived. Next, making use of a recent result
from M. Sbihi \cite{Sbihi}, we prove, via a compactness argument, that the
essential spectrum of the transport semigroup and that of the streaming
semigroup coincide on all $L^p$-spaces with $1<p<\infty$.

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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int