Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harnack Inequalities for Stochastic (Functional) Differential Equations
  with Non-Lipschitzian Coefficients   By using coupling arguments, Harnack type inequalities are established for a
class of stochastic (functional) differential equations with multiplicative
noises and non-Lipschitzian coefficients. To construct the required couplings,
two results on existence and uniqueness of solutions on an open domain are
presented.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
18
The categories of this paper are: econ
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph