Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Fujita exponent in Fractional heat equation involving the
  Hardy potential   In this work, we are interested on the study of the Fujita exponent and the
meaning of the blow-up for
  the Fractional Cauchy problem with the Hardy potential, namely,
\begin{equation*} u_t+(-\Delta)^s u=\lambda\dfrac{u}{|x|^{2s}}+u^{p}\inn\ren,\\
u(x,0)=u_{0}(x)\inn\ren, \end{equation*} where $N> 2s$, $0<s<1$, $(-\Delta)^s$
is the fractional laplacian of order $2s$, $\l>0$, $u_0\ge 0$, and
$1<p<p_{+}(s,\lambda)$, where $p_{+}(\lambda, s)$ is the critical existence
power found in \cite{BMP} and \cite{AMPP}.

26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th