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Dergiler / 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
Sayfa
27–36
Yayın Tarihi
2019-10-30
DOI
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Finally, we showed the decay estimates result of the solutions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The main goal of this paper is to study for a fourth-order hyperbolic equation with logarithmic nonlinearity.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Finally, we showed the decay estimates result of the solutions.
🔬Tür:Konferans Bildirisi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (14)

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