Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of Hamilton-Jacobi-Bellman equations arising in stochastic
  singular control   We study the partial differential equation max{Lu - f, H(Du)}=0 where u is
the unknown function, L is a second-order elliptic operator, f is a given
smooth function and H is a convex function. This is a model equation for
Hamilton-Jacobi-Bellman equations arising in stochastic singular control. We
establish the existence of a unique viscosity solution of the Dirichlet problem
that has a Holder continuous gradient. We also show that if H is uniformly
convex, the gradient of this solution is Lipschitz continuous.

30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an