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Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 3

Blow-up phenomena for nonlocal inhomogeneous diffusion problems

Fei-Ying YANG
Jian-Wen SUN
Pages
466–482
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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

Moreover, lower bounds for blow-up time of nonlocal problems are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions.
📊
Key Findings & Data:We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time.
💡
Conclusion & Impact:Moreover, lower bounds for blow-up time of nonlocal problems are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Blow-up solutions · bounds on blow-up time · nonlocal dispersal

Abstract

This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions. We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time. Moreover, lower bounds for blow-up time of nonlocal problems are obtained.

Özet

This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions. We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time. Moreover, lower bounds for blow-up time of nonlocal problems are obtained.

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Cite This Article

YANG, F., SUN, J. (2022). Blow-up phenomena for nonlocal inhomogeneous diffusion problems. Turkish Journal of Mathematics, Cilt: 37 - Sayı: 3, 466–482. https://ajindex.com/articles/608315

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