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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 2

Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity

Rabil Ayazoğlu(Bayburt University)0000-0003-4493-2937
Gülizar Alisoy(Tekirdag N. Kemal University)
Sezgin Akbulut(Faculty of Science, Ataturk University)0000-0001-5299-8587
Tuba Ağırman Aydın(Bayburt University)0000-0001-8034-0723
Pages
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Publication Date
2024-04-23
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider an initial boundary value problem for a class of $p(\cdot )$-Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain.
📊
Key Findings & Data:By using new approach, we obtain the global and decay of existence of the solutions.
💡
Conclusion & Impact:Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:parabolic · $p(\cdot )$-Laplacian · variable exponents

Abstract

In this paper, we consider an initial boundary value problem for a class of $p(\cdot )$-Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain. By using new approach, we obtain the global and decay of existence of the solutions. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.

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Cite This Article

Ayazoğlu, R., Alisoy, G., Akbulut, S., Aydın, T. A. (2024). Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 2. https://doi.org/10.15672/hujms.1106985

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