Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local linear dependence of linear partial differential operators   We show that any finite set of linear partial differential operators with
continuous coefficients is linearly dependent if and only if it is locally
linearly dependent. It follows that the reflexive closure of any finite set of
such operators is equal to its linear span. The last statement can be rephrased
as a weak nullstellensatz for linear partial differential operators.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg