Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reflected rough differential equations   In this paper, we study reflected differential equations driven by continuous
paths with finite $p$-variation ($1\le p<2$) and $p$-rough paths ($2\le p<3$)
on domains in Euclidean spaces whose boundaries may not be smooth. We define
reflected rough differential equations and prove the existence of a solution.
Also we discuss the relation between the solution to reflected stochastic
differential equation and reflected rough differential equation when the
driving process is a Brownian motion.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
19
The categories of this paper are: eess
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph