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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 70 Issue: 1

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

Erhan Pişkin(DICLE UNIVERSITY)0000-0001-6587-4479
Nazlı Irkıl(Dicle University)0000-0002-9130-2893
Pages
—
Publication Date
2021-06-30
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Later, we proved general decay results of solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:We obtain several results: Firstly, by using Feado-Galerkin method and a logaritmic Sobolev inequality, we proved local existence of solutions.
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Conclusion & Impact:Later, we proved general decay results of solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Decay · existence · logarithmic nonlinearity

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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Cite This Article

Pişkin, E., Irkıl, N. (2021). Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 1. https://doi.org/10.31801/cfsuasmas.718432

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