Preprint Article Version 1 This version not peer reviewed

# Exponential Decay of Solutions for a Higher Order Wave Equation with Logarithmic Source Term

Version 1 : Received: 6 February 2018 / Approved: 7 February 2018 / Online: 7 February 2018 (07:58:45 CET)

How to cite: Pişkin, E.; Uysal, T.; Hajrulla, S. Exponential Decay of Solutions for a Higher Order Wave Equation with Logarithmic Source Term. Preprints 2018, 2018020057 (doi: 10.20944/preprints201802.0057.v1). Pişkin, E.; Uysal, T.; Hajrulla, S. Exponential Decay of Solutions for a Higher Order Wave Equation with Logarithmic Source Term. Preprints 2018, 2018020057 (doi: 10.20944/preprints201802.0057.v1).

## Abstract

In this paper, we consider a class of nonlinear higher-order wave equation with logarithmic source and waek damping term $u tt + (−Δ) m u+u+ u t =uln | u | k$ in a bounded domain Ω $\subset$ ${R}^{3}$ . We establish a exponential decay of solutions.

## Subject Areas

higher-order wave equation; logarithmic source term; energy decay