Initial boundary value problem for a damped wave equation with logarithmic nonlinearity

Abstract

In this paper, a damped semilinear wave equation with logarithmic non-linearity is considered. Finite time blow-up criteria are established for solutions with both lower and higher initial energy, and an upper bound for the blow-up time is derived for each case. Moreover, by making full use of the strong damping term, a lower bound for the blow-up time is also obtained, for both subcritical and supercritical exponent. This partially extends some recent results obtained in [Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity, Nonlinear Analysis, Real World Applications, 51(2020), 102968] by Di et al.