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

Nian Liu ()
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Nian Liu: School of Science, Wuhan University of Technology, Wuhan 430070, China

Mathematics, 2024, vol. 12, issue 19, 1-8

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.

Keywords: pseudo-parabolic equations; asymptotic behavior; blow-up rate; maximal existence time (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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