Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On polynomial solutions of PDE   In this paper we prove that the PDE $p(D)f=q,$ where $p$ and $q$ are
multivariate polynomials, has a solution in the space of polynomials of total
degree not exceeding ${n+s},$ where $n$ is the degree of $q$ and $s$ is the
zero order of $O=(0,\ldots,0)$ for $p.$

9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat