Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduction of lower semicontinuous solutions of Hamilton-Jacobi-Bellman
  equations   This article is devoted to the study of lower semicontinuous solutions of
Hamilton-Jacobi equations with convex Hamiltonians in the gradient variable.
Such Hamiltonians do arise in the optimal control theory. We present a
necessary and sufficient condition for the reduction of the Hamiltonian
satisfying optimality conditions to the case when the Hamiltonian is positively
homogeneous and also satisfies optimality conditions. On one hand, it allows us
to reduce uniqueness of solutions problem to Barron-Jensen and Frankowska
theorems. On the other hand, it shows us the limits of applicability of this
reduction. For Hamiltonians which are not liable to the above reduction we
prove the new existence and uniqueness theorems.

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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs