Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the continuity of free-boundaries in finite-horizon optimal
  stopping problems for one dimensional diffusions   We provide sufficient conditions for the continuity of the free-boundary in a
general class of finite-horizon optimal stopping problems arising for instance
in finance and economics. The underlying process is a strong solution of one
dimensional, time-homogeneous stochastic differential equation (SDE). The proof
relies on both analytic and probabilistic arguments and it is based on a
contradiction scheme inspired by the maximum principle in partial differential
equations (PDE) theory. Mild, local regularity of the coefficients of the SDE
and smoothness of the gain function locally at the boundary are required.

7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph