Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Solutions of Path-dependent PDEs and Functional
  Forward-Backward Stochastic Systems   In this paper we study the relationship between functional forward-backward
stochastic systems and path-dependent PDEs. In the framework of functional
It\^o calculus, we introduce a path-dependent PDE and prove that its solution
is uniquely determined by a functional forward-backward stochastic system.

3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int