On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type

DOI10.1016/J.JMAA.2011.03.034zbMath1222.35035OpenAlexW2031847579MaRDI QIDQ541248

Kosuke Ono

Publication date: 6 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.034

zbMATH Keywords

optimal decay estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09)

Related Items (7)

On decay properties of solutions for degenerate Kirchhoff equations with strong damping and source terms ⋮ Global solutions for a nonlinear Kirchhoff type equation with viscosity ⋮ Asymptotic behavior of solutions for nonlinear wave equations of Kirchhoff type with a positive-negative damping ⋮ Unnamed Item ⋮ Kirchhoff equations with strong damping ⋮ Stability of attractors for the Kirchhoff wave equation with strong damping and critical nonlinearities ⋮ Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models

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• On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
• On the decay of solutions for some nonlinear evolution equations of second order
• Decay properties of solutions of some quasilinear hyperbolic equations with strong damping
• On the mildly degenerate Kirchhoff string
• On the Well-Posedness of the Kirchhoff String

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