Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Threshold Strategies in Optimal Stopping Problem for Diffusion Processes
  and Free-Boundary Problem   We study a problem when a solution to optimal stopping problem for
one-dimensional diffusion will generate by threshold strategy. Namely, we give
necessary and sufficient conditions under which an optimal stopping time can be
specified as the first time when the process exceeds some level (threshold),
and a continuation set is a semi-interval. We give also second-order
conditions, which allow to discard such solutions to free-boundary problem that
are not the solutions to optimal stopping problem.

21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th