Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity for parabolic systems with critical growth in the gradient
  and applications   Motivated by problems arising in geometric flows, we prove several regularity
results for systems of local and nonlocal equations, adapting to the parabolic
case a neat argument due to Caffarelli. The geometric motivation of this work
comes from recent works arising in the theory harmonic maps with free boundary
in particular. We prove H\"older regularity of weak solutions.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas