Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal control for the infinity obstacle problem   In this note, we show that a natural optimal control problem for the
$\infty$-obstacle problem admits an optimal control which is also an optimal
state. Moreover, we show the convergence of the minimal value of an optimal
control problem for the $p$-obstacle problem to the minimal value of our
optimal control problem for the $\infty$-obstacle problem, as $p\to\infty$.

24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph