Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalizations of the Hilbert-Weierstrass Theorem and Tonelli-Morrey
  Theorem: the Regularity of Solutions of Differential Equations and Optimal
  Control Problems
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex