Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A game theoretical approximation for a parabolic/elliptic system with
  different operators   In this paper we find viscosity solutions to a coupled system composed by two
equations, the first one is parabolic and driven by the infinity Laplacian
while the second one is elliptic and involves the usual Laplacian. We prove
that there is a two-player zero-sum game played in two different boards with
different rules in each board (in the first one we play a Tug-of-War game
taking the number of plays into consideration and in the second board we move
at random) whose value functions converge uniformly to a viscosity solution to
the PDE system.

20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol