Ultimate bound of solutions to second-order evolution equation with nonlinear damping term

DOI10.1007/s42985-021-00110-xzbMath1480.35025OpenAlexW3189890331WikidataQ114216494 ScholiaQ114216494MaRDI QIDQ825605

Faouzia Aloui

Publication date: 17 December 2021

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-021-00110-x

zbMATH Keywords

bounded solutionnonlinear dampingrate of decay fo

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Abstract hyperbolic equations (35L90)

Cites Work

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• Decay estimates for some semilinear damped hyperbolic problems
• Nonlinear evolution equations - global behavior of solutions
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• Anti-periodic solutions of some nonlinear evolution equations
• Bounded or almost periodic solution of the non linear vibrating membrane equation
• A sharp ultimate bound of the solutions to some second-order evolution equations with nonlinear damping

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