Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A blow-up result for the semilinear Moore-Gibson-Thompson equation with
  nonlinearity of derivative type in the conservative case   In this paper, we study the blow-up of solutions to the semilinear
Moore-Gibson-Thompson (MGT) equation with nonlinearity of derivative type
$|u_t|^p$ in the conservative case. We apply an iteration method in order to
study both the subcritical case and the critical case. Hence, we obtain a
blow-up result for the semilinear MGT equation (under suitable assumptions for
initial data) when the exponent $p$ for the nonlinear term satisfies
$1<p\leqslant (n+1)/(n-1)$ for $n\geqslant2$ and $p>1$ for $n=1$. In
particular, we find the same blow-up range for $p$ as in the corresponding
semilinear wave equation with nonlinearity of derivative type.

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an