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

Blow-up phenomena for nonlocal inhomogeneous diffusion problems

Fei-Ying YANG
Jian-Wen SUN
Sayfa
466–482
Yayın Tarihi
2022-11-05
DOI
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Moreover, lower bounds for blow-up time of nonlocal problems are obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions.
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Temel Bulgular & Veri:We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time.
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Sonuç & Katkı:Moreover, lower bounds for blow-up time of nonlocal problems are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Blow-up solutions · bounds on blow-up time · nonlocal dispersal

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.

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.

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Bu Makaleye Atıf Yap

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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Kaynakça (15)

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