Asymptotic behavior and blow-up of solutions to a nonlinear evolution equation of fourth order

DOI10.1016/J.NA.2006.11.045zbMath1260.35077OpenAlexW2018293230MaRDI QIDQ2470080

Xiangying Chen, Guowang Chen

Publication date: 13 February 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.11.045

zbMATH Keywords

initial-boundary value problemasymptotic behavior of solutionblow-up of solutionnonlinear wave equation of fourth order

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75) Blow-up in context of PDEs (35B44)

Related Items (10)

Asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative terms ⋮ Blow-up phenomena for a class of generalized double dispersion equations ⋮ Numerical results for a fourth‐order nonlinear wave equation of Kirchhoff type with a viscoelastic term ⋮ Global existence and asymptotic behavior of solutions for a semi-linear wave equation ⋮ Decay rate of solutions for a Cauchy viscoelastic evolution equation ⋮ Global existence and energy decay of a nondissipative Cauchy viscoelastic problem ⋮ On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term ⋮ Existence and asymptotic behavior of solution of Cauchy problem for the damped sixth-order Boussinesq equation ⋮ Initial value problem for a class of fourth-order nonlinear wave equations ⋮ Global existence and asymptotic behavior of solutions to a nonlinear wave equation of fourth-order

Cites Work

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• Blow up of solutions of a generalized Boussinesq equation
• Existence and nonexistence of global solutions for the generalized IMBq equation
• Existence and nonexistence of global solutions for nonlinear evolution equation of fourth order

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