On decay properties of solutions for degenerate Kirchhoff equations with strong damping and source terms

DOI10.1186/1687-2770-2012-93zbMath1280.35017OpenAlexW2126048622WikidataQ59288370 ScholiaQ59288370MaRDI QIDQ384340

Shun-Tang Wu

Publication date: 27 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-93

zbMATH Keywords

decay estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Degenerate hyperbolic equations (35L80) Integro-partial differential equations (35R09)

Cites Work

• On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type
• A difference inequality and its application to nonlinear evolution equations
• On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
• Decay properties of solutions of some quasilinear hyperbolic equations with strong damping