Abstract
This paper considers the Cauchy problem for a higher-order semilinear parabolic equation with nonlocal term in
, where
,
,
, and
. We obtain the critical Fujita exponent
to the problem, in the sense that every nontrivial solution blows up in finite time whenever
, and there are both global and non-global solutions if
.
Notes
No potential conflict of interest was reported by the authors.