Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity
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Date
2021-06-30
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Ankara Üniversitesi Fen Fakültesi
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.
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Keywords
Decay, Existence, Logarithmic nonlinearity