  This paper deals with the initial-boundary value problem to a nonlocal
semilinear pseudo-parabolic equation with conical degeneration, which has been
studied in [Global well-posedness for a nonlocal semilinear pseudo-parabolic
equation with conical degeneration, J. Differential Equations, 2020, 269(5):
4566--4597]. We first improve the regularity of the weak solution, and then
study finite time blow-up phenomenon for the problem. Our initial condition for
blow-up only depends on Nehari functional and the conservative integral, which
suggests that the assumption of initial energy functional in the original paper
can be removed.
