Global existence and asymptotic behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations

DOI10.1090/S0033-569X-2012-01295-6zbMath1275.35136MaRDI QIDQ2850023

Xu Runzhang, Yang Yanbing

Publication date: 20 September 2013

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

potential wellweak growth conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Related Items (9)

Numerical results for a fourth‐order nonlinear wave equation of Kirchhoff type with a viscoelastic term ⋮ Efficient high-order physical property-preserving difference methods for nonlinear fourth-order wave equation with damping ⋮ Analysis of finite difference schemes for a fourth-order strongly damped nonlinear wave equations ⋮ Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation ⋮ Nonlinear wave equation with both strongly and weakly damped terms: supercritical initial energy finite time blow up ⋮ Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity ⋮ Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations ⋮ A family of potential wells for a wave equation ⋮ Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping

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