Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source

DOI10.3934/era.2020015zbMath1447.35214OpenAlexW3009340257MaRDI QIDQ2202479

Huafei Di, Yadong Shang, Jia-li Yu

Publication date: 18 September 2020

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020015

zbMATH Keywords

potential wellmultiplier methodinterior sourceboundary velocity feedbacks

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Related Items (7)

Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms ⋮ Blow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearities ⋮ Initial and boundary value problems for a class of nonlinear metaparabolic equations ⋮ A class of fourth-order hyperbolic equations with strongly damped and nonlinear logarithmic terms ⋮ Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms ⋮ Global existence and blow-up results for a nonlinear model for a dynamic suspension bridge ⋮ Long-time behavior for fourth-order wave equations with strain term and nonlinear weak damping term

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