Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: De Giorgi Techniques Applied to The Holder Regularity of Solutions to
  Hamilton-Jacobi Equations   This article is dedicated to the proof of C^{\alpha} regularization effects
of Hamilton- Jacobi equations. The proof is based on the De Giorgi method. The
regularization is independent on the regularity of the Hamiltonian.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph