Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Markovian Fully Coupled Forward-Backward Stochastic Systems and
  Classical Solutions of Path-dependent PDEs   This paper explores the relationship between non-Markovian fully coupled
forward-backward stochastic systems and path-dependent PDEs. The definition of
classical solution for the path-dependent PDE is given within the framework of
functional It\^{o} calculus. Under mild hypotheses, we prove that the
forward-backward stochastic system provides the unique classical solution to
the path-dependent PDE.

36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ