Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Null controllability for the singular heat equation with a memory term   In this paper we focus on the null controllability problem for the heat
equation with the so-called inverse square potential and a memory term. To this
aim, we first establish the null controllability for a nonhomogeneous singular
heat equation by a new Carleman inequality with weights which do not blow up at
t=0. Then the null controllability property is proved for the singular heat
equation with memory under a condition on the kernel, by means of Kakutani's
fixed-point Theorem.

29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics