Asymptotic behavior and blow-up of solutions for a nonlocal parabolic equation with a special diffusion process

Asymptotic behavior and blow-up of solutions for a nonlocal parabolic equation with a special diffusion process

This paper considers a class of higher-order nonlocal parabolic equations with special coefficient. We apply the Faedo-Galerkin approximation method and cut-off technique to obtain the local solvability. Furthermore, based on the framework of the modified potential well, we get the global existence,...

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Bibliographic Details
Main Authors: Yaxin Zhao, Xiulan Wu
Format: Article
Language:English
Published: AIMS Press 2024-07-01
Series:AIMS Mathematics
Subjects:
logarithmic nonlocal source
special diffusion process
global existence
asymptotic behavior
blow-up
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241113?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20241113?viewType=HTML

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