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Research Article | Open Access

Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity

Shuting Chang, Yaojun Ye( )
Department of Mathematics and Statistics, Zhejiang University of Science and Technology, Hangzhou 310023, China
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Abstract

This paper investigated the blow-up properties of solutions to the initial value problem for a fourth-order nonlinear parabolic equation with an exponential source term. By using an improved concavity method, we obtained upper and lower bound estimates for the blow-up time of the solution.

Keywords

fourth-order parabolic equationexponential source termCauchy problemblow-upupper and lower bounds for the blow-up time

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Electronic Research Archive
Volume 32 Issue 11,
November 2024
Pages 6225-6234
DOI: 10.3934/era.2024289

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Cite this article:
Chang S, Ye Y. Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity. Electronic Research Archive, 2024, 32(11): 6225-6234. https://doi.org/10.3934/era.2024289

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Received: 12 September 2024
Revised: 24 October 2024
Accepted: 13 November 2024
Published: 18 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)