Blow-up phenomena and global existence for nonlinear parabolic problems under nonlinear boundary conditions

In this paper, we consider an initial-boundary value parabolic problem under nonlinear Neumann boundary conditions. By virtue of the modified differential inequality, lower bounds for the blow-up time of the solution are derived in higher dimensional spaces. An upper bound for the blow-up time are s...

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Bibliographic Details
Main Authors: Zhanwei Gou, Jincheng Shi
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023598?viewType=HTML