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

Year 2021, Volume: 70 Issue: 1, 300 - 319, 30.06.2021

Erhan Pişkin , Nazlı Irkıl

https://doi.org/10.31801/cfsuasmas.718432

Cited By: 1

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

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