Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probabilistic representation of parabolic stochastic variational
  inequality with Dirichlet-Neumann boundary and variational generalized
  backward doubly stochastic differential equations   We derive the existence and uniqueness of the generalized backward doubly
stochastic differential equation with sub-differential of a lower
semi-continuous convex function under a non Lipschitz condition. This study
allows us give a probabilistic representation (in stochastic viscosity sense)
to the parabolic variational stochastic partial differential equations with
Dirichlet-Neumann conditions.

24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph