General decay of solutions for damped wave equation of Kirchhoff type with density in \(\mathbb R^n\)

DOI10.1007/s11565-015-0223-xzbMath1336.35074OpenAlexW2065164683MaRDI QIDQ895823

Khaled Zennir

Publication date: 7 December 2015

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-015-0223-x

zbMATH Keywords

Lyapunov functionweighted spacesdecay rateviscoelastic wave equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

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Cites Work

• Decay rate of solutions for a Cauchy viscoelastic evolution equation
• On the uniform decay in viscoelastic problems in \(\mathbb R^n\)
• Existence of a global attractor for semilinear dissipative wave equations on \(\mathbb{R}^N\)
• Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
• A general method for proving sharp energy decay rates for memory-dissipative evolution equations
• A blow up result for a nonlinear wave equation with damping and vanishing initial energy in \(\mathbb R^N\)
• General stability result for viscoelastic wave equations
• On a quasilinear wave equation with memory
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Note on intrinsic decay rates for abstract wave equations with memory
• Global existence and blow-up results for an equation of Kirchhoff type on \(\mathbb{R}^N\)
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