Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term

DOI10.4208/JPDE.V36.N3.4OpenAlexW4385815373MaRDI QIDQ6141752

Yangyang Lu, Gongwei Liu, Hongwei Zhang

Publication date: 23 January 2024

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v36.n3.4

zbMATH Keywords

global existenceplate equationnon-exponential decayenergy damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Cites Work

• Attractors and their properties for a class of nonlocal extensible beams
• Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
• On a Kirchhoff wave model with nonlocal nonlinear damping
• Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
• Global nonexistence for a semilinear Petrovsky equation
• On global solutions and blow-up of solutions for a nonlinearly damped Petrovsky system
• Compact sets in the space \(L^ p(0,T;B)\)
• Saddle points and instability of nonlinear hyperbolic equations
• A difference inequality and its application to nonlinear evolution equations
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Blow up at infinity of solutions for integro-differential equation
• Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping
• Global nonexistence theorems for a class of evolution equations with dissipation
• Rates of decay of a nonlocal beam equation
• Attractors and their continuity for an extensible beam equation with rotational inertia and nonlocal energy damping
• The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
• Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping
• Optimal attractors of the Kirchhoff wave model with structural nonlinear damping
• On a beam model related to flight structures with nonlocal energy damping
• Long-time behavior for a plate equation with nonlocal weak damping.
• Global attractor for the Kirchhoff type equations with strong nonlinear damping and supercritical nonlinearity
• Exponential stability for the wave equation with degenerate nonlocal weak damping
• Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping
• On a system of nonlinear wave equations with Balakrishnan-Taylor damping
• Global solutions and finite time blow up for damped semilinear wave equations
• On global solution of nonlinear hyperbolic equations
• Strong attractors and their robustness for an extensible beam model with energy damping
• Global solutions and finite time blow-up for fourth order nonlinear damped wave equation
• On nonlinear wave equations with degenerate damping and source terms
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Asymptotic stability and blow-up for the wave equation with degenerate nonlocal nonlinear damping and source terms
• Global existence and nonexistence in a system of Petrovsky
• Blow-up of solutions for a wave equation with nonlinear averaged damping and nonlocal nonlinear source terms

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