Research Article

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

Published in: Quaestiones Mathematicae
Volume 46 , issue 5 , 2023 , pages: 993–1008

DOI: 10.2989/16073606.2022.2046196

Author(s): Haixia Li Changchun Normal University, P.R. China

Keywords: Primary: 35L20 , Secondary: 35L71 , Wave equation , damped , logarithmic nonlinearity , blow-up , initial energy

Download full text Get new issue alerts

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.

« A new insight to the Hamiltonian systems with a finite number of spectral parameters

Some geometric and physical properties of pseudo ψ-conharmonically symmetric manifolds »