Polynomial decay of solutions to the Cauchy problem for a Petrovsky-Petrovsky system in \(\mathbb{R}^{n}\)

DOI10.1007/s10440-016-0058-1zbMath1362.35045OpenAlexW2512200871MaRDI QIDQ520173

Abderrahmane Beniani, Abbes Benaissa, Khaled Zennir

Publication date: 3 April 2017

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-016-0058-1

zbMATH Keywords

coupled systemweighted spacesmemory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Higher-order semilinear hyperbolic equations (35L76) Initial value problems for higher-order hyperbolic systems (35L56)

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Cites Work

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• Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory
• Lack of exponential decay of a coupled system of wave equations with memory
• Indirect internal stabilization of weakly coupled evolution equations
• Best constant for the embedding of the space \(H^ 2\cap H^ 1_ 0(\Omega)\) into \(L^{2N/(N-4)}\Omega\)
• Asymptotic stability in viscoelasticity
• Observabilité frontière indirecte de systèmes faiblement couplés
• Rapid Boundary Stabilization of Linear Distributed Systems
• Asymptotic behavior for coupled abstract evolution equations with one infinite memory

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