Existence and general decay estimates for a Petrovsky-Petrovsky coupled system with nonlinear strong damping

DOI10.5890/JAND.2021.12.005zbMath1483.35023OpenAlexW3193248546MaRDI QIDQ5026325

Noureddine Bahri, Khaled Zennir, Abderrahmane Beniani

Publication date: 7 February 2022

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/jand.2021.12.005

zbMATH Keywords

existence of weak solutiondecay rateweighted integral inequalitiesmultiplier methodFaedo-Galerkin methodnonlinear strong damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Weak solutions to PDEs (35D30) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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• Polynomial decay of solutions to the Cauchy problem for a Petrovsky-Petrovsky system in \(\mathbb{R}^{n}\)
• Decay estimates for some semilinear damped hyperbolic problems
• On the decay of solutions of some nonlinear dissipative wave equations in higher dimensions
• A general method for proving sharp energy decay rates for memory-dissipative evolution equations
• Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks
• A new method to obtain decay rate estimates for dissipative systems
• Rapid Boundary Stabilization of Linear Distributed Systems

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