Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher order regularity of nonlinear Fokker-Planck PDEs with respect to
  the measure component   In this article, we establish a general formula for higher order linear
functional derivatives for the composition of an arbitrary smooth functional on
the 1-Wasserstein space with the solution of a Fokker-Planck PDE. This formula
has important links with the theory of propagation of chaos and mean-field
games.

5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th