Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-similar solution for Hardy operator   We describe the large-time asymptotics of solutions to the heat equation for
the fractional Laplacian with added subcritical or even critical Hardy-type
potential. The asymptotics is governed by a self-similar solution of the
equation, obtained as a normalized limit at the origin of the kernel of the
corresponding Feynman-Kac semigroup.

4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga