Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reflected BSDEs on Filtered Probability Spaces   We study the problem of existence and uniqueness of solutions of backward
stochastic differential equations with two reflecting irregular barriers, $L^p$
data and generators satisfying weak integrability conditions. We deal with
equations on general filtered probability spaces. In case the generator does
not depend on the $z$ variable, we first consider the case $p=1$ and we only
assume that the underlying filtration satisfies the usual conditions of
right-continuity and completeness. Additional integrability properties of
solutions are established if $p\in(1,2]$ and the filtration is quasi-left
continuous. In case the generator depends on $z$, we assume that $p=2$, the
filtration satisfies the usual conditions and additionally that it is
separable. Our results apply for instance to Markov-type reflected backward
equations driven by general Hunt processes.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph