Nonexistence of global solutions of a viscoelastic p(x)-Laplacian
equation with logarithmic nonlinearity
In this work, we aim to obtain the existence and finite time blow up of
weak solutions of a p(x) -Laplacian pseudo-parabolic equation with
memory term and logarithmic nonlinearity. Moreover, we extract an upper
bound for the blow up time by applying the concavity method and a lower
bound using the differential inequality technique.