Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of three different kinds of optimal control problems for
  heat equations and its applications   This paper presents an equivalence theorem for three different kinds of
optimal control problems, which are optimal target control problems, optimal
norm control problems and optimal time control problems. Controlled systems in
this study are internally controlled heat equations. With the aid of this
theorem, we establish an optimal norm feedback law and build up two algorithms
for optimal norms (together with optimal norm controls) and optimal time (along
with optimal time controls), respectively.

28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs