Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Viscosity Solutions to Second Order Elliptic Hamilton-Jacobi-Bellman
  Equation with infinite delay   This paper introduces a notion of viscosity solutions for second order
elliptic Hamilton-Jacobi-Bellman (HJB) equations with infinite delay associated
with infinite-horizon optimal control problems for stochastic differential
equations with infinite delay. We identify the value functional of optimal
control problems as unique viscosity solution to associated second order
elliptic HJB equation with infinite delay. We also show that our notion of
viscosity solutions is consistent with the corresponding notion of classical
solutions, and satisfies a stability property.

15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio