Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness of networks for 1-D hyperbolic partial differential
  equations   We consider the well-posedness of a class of hyperbolic partial differential
equations on a one dimensional spatial domain. This class includes in
particular infinite-dimensional networks of transport, wave and beam equations,
or even combinations of these. Equivalent conditions for contraction semigroup
generation are derived. In the first part we assume a finite interval and in
the second part, we consider partial differential equations on the semi-axis.

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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an