Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity

Authors : Erhan PİŞKİN, Nazlı IRKIL

Pages : 300-319

Doi:10.31801/cfsuasmas.718432

View : 9 | Download : 9

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :The 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.
Keywords : Decay, existence, logarithmic nonlinearity