Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Doubly Reflected BSDEs in the predictable setting   In this paper, we introduce a specific kind of doubly reflected Backward
Stochastic Differential Equations (in short DRBSDEs), defined on probability
spaces equipped with general filtration that is essentially non quasi-left
continuous, where the barriers are assumed to be predictable processes. We call
these equations predictable DRBSDEs. Under a general type of Mokobodzki's
condition, we show the existence of the solution (in consideration of the
driver's nature) through a Picard iteration method and a Banach fixed point
theorem. By using an appropriate generalization of It\^o's formula due to
Gal'chouk and Lenglart, we provide a suitable a priori estimates which
immediately implies the uniqueness of the solution.

3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an