Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamilton-Jacobi equations for optimal control on multidimensional
  junctions with entry costs   We consider an infinite horizon control problem for dynamics constrained to
remain on a multidimensional junction with entry costs. We derive the
associated system of Hamilton-Jacobi equations (HJ), prove the comparison
principle and that the value function of the optimal control problem is the
unique viscosity solution of the HJ system. This is done under the usual strong
controllability assumption and also under a weaker condition, coined 'moderate
controllability assumption'.

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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph