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Open AccessArticle
The Asymptotic Behavior and Blow-Up Rate of a Solution with a Lower Bound on the Highest Existence Duration for Semi-Linear Pseudo-Parabolic Equations
by
Nian Liu
Nian Liu
School of Science, Wuhan University of Technology, Wuhan 430070, China
Mathematics 2024, 12(19), 3055; https://doi.org/10.3390/math12193055 (registering DOI)
Submission received: 5 August 2024
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Revised: 25 September 2024
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Accepted: 25 September 2024
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Published: 29 September 2024
Abstract
This note addresses the initial-boundary value problem for a class of semi-linear pseudo-parabolic equations defined on a smooth bounded domain, with an emphasis on determining the asymptotic behavior and blow-up rate of the solution. Our analysis considers both low-initial energy and critical-initial energy cases, with a specific focus on establishing a lower bound on the maximal existence time of the solutions to this problem.
Share and Cite
MDPI and ACS Style
Liu, N.
The Asymptotic Behavior and Blow-Up Rate of a Solution with a Lower Bound on the Highest Existence Duration for Semi-Linear Pseudo-Parabolic Equations. Mathematics 2024, 12, 3055.
https://doi.org/10.3390/math12193055
AMA Style
Liu N.
The Asymptotic Behavior and Blow-Up Rate of a Solution with a Lower Bound on the Highest Existence Duration for Semi-Linear Pseudo-Parabolic Equations. Mathematics. 2024; 12(19):3055.
https://doi.org/10.3390/math12193055
Chicago/Turabian Style
Liu, Nian.
2024. "The Asymptotic Behavior and Blow-Up Rate of a Solution with a Lower Bound on the Highest Existence Duration for Semi-Linear Pseudo-Parabolic Equations" Mathematics 12, no. 19: 3055.
https://doi.org/10.3390/math12193055
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