Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A geometric answer to an open question of singular control with stopping   We solve a problem of singular stochastic control with discretionary
stopping, suggested as an interesting open problem by Karatzas, Ocone, Wang and
Zervos (2000), by providing suitable candidates for the moving boundaries in an
unsolved parameter range. We proceed by identifying an optimal stopping problem
with similar variational inequalities and inspecting its parameter-dependent
geometry (in a sense going back to Dynkin (1965)), which reveals a
discontinuity not previously exploited. We thus highlight the potential
importance of this geometric information in both singular control and
parameter-dependent optimal stopping.

19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph