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Journals / Conference Proceedings of Science and Technology / 2026 / Cilt: 2 Sayı: 1

Mathematical Behavior of Solutions of Fourth-Order Hyperbolic Equation with Logarithmic Source Term

Erhan Pişkin(Dicle University)0000-0001-6587-4479
Nazlı Irkıl0000-0002-9130-2893
Pages
27–36
Publication Date
2019-10-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we showed the decay estimates result of the solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main goal of this paper is to study for a fourth-order hyperbolic equation with logarithmic nonlinearity.
📊
Key Findings & Data:We obtain several results: Firstly, by using Feado-Galerkin method and a logaritmic Sobolev inequality, we proved local existence of solutions.
💡
Conclusion & Impact:Finally, we showed the decay estimates result of the solutions.
🔬Design:Konferans Bildirisi
📍Scope:Comprehensive Sample
⚙️Variables:Existence · Decay of solution · Existence

Abstract

The main goal of this paper is to study for a fourth-order hyperbolic equation with logarithmic nonlinearity. We obtain several results: Firstly, by using Feado-Galerkin method and a logaritmic Sobolev inequality, we proved local existence of solutions. Later, we proved global existence of solutions by potential well method. Finally, we showed the decay estimates result of the solutions.

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Cite This Article

Pişkin, E., Irkıl, N. (2019). Mathematical Behavior of Solutions of Fourth-Order Hyperbolic Equation with Logarithmic Source Term. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 1, 27–36. https://ajindex.com/articles/1648751

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