Pişkin, ErhanIrkıl, Nazlı2021-11-302021-11-302021-06-30https://doi.org/10.31801/cfsuasmas.718432http://hdl.handle.net/20.500.12575/76474The main goal of this paper is to study for the local existence and decay estimates results for a high-order viscoelastic wave equation with logarithmic nonlinerity. We obtain several results: Firstly, by using Feado-Galerkin method and a logaritmic Sobolev inequality, we proved local existence of solutions. Later, we proved general decay results of solutions.enDecayExistenceLogarithmic nonlinearityExistence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearityArticle7013003192618-6470