Uniform stabilization for the coupled semi-linear wave and beam equations with distributed nonlinear feedback

DOI10.1016/j.jmaa.2021.125858zbMath1480.35031OpenAlexW3216255462MaRDI QIDQ2062596

V. H. Gonzalez Martinez, Sabeur Mansouri, Marcelo Moreira Cavalcanti

Publication date: 27 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125858

zbMATH Keywords

semilinear wave equationobservability inequalitycoupled equationsfrictional dampinguniform decay ratessemilinear beam equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Higher-order semilinear hyperbolic equations (35L76) Axially symmetric solutions to PDEs (35B07) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Cites Work

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• Indirect stabilization of weakly coupled systems with hybrid boundary conditions
• Energy decay estimates for some weakly coupled Euler-Bernoulli and wave equations with indirect damping mechanisms
• Nonlinear damped partial differential equations and their uniform discretizations
• Indirect internal stabilization of weakly coupled evolution equations
• Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result
• Strichartz estimates for the wave equation on manifolds with boundary
• Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
• Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
• Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
• Uniform stabilization of the wave equation on compact surfaces and locally distributed damping
• Compact sets in the space \(L^ p(0,T;B)\)
• Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
• Exponential decay for the semilinear wave equation with localized damping in unbounded domains
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Nonlinear boundary feedback stabilization for a semilinear Kirchhoff plate with dissipation acting only via moments-limiting behavior
• A new method to obtain decay rate estimates for dissipative systems with localized damping
• Decay rates for viscoelastic plates with memory
• Uniform decay rate estimates for Schrödinger and plate equations with nonlinear locally distributed damping
• Rates of decay of a nonlocal beam equation
• Uniform decay rate estimates for the wave equation in an inhomogeneous medium with simultaneous interior and boundary feedbacks
• Exponential stability of the plate equations with potential of second order and indefinite damping
• Long-time dynamics of the strongly damped semilinear plate equation in \(\mathbb{R}^N\)
• Global attractors for von Kármán equations with nonlinear interior dissipation
• A unified approach via convexity for optimal energy decay rates of finite and infinite dimensional vibrating damped systems with applications to semi-discretized vibrating damped systems
• Sharp energy estimates for nonlinearly locally damped PDEs via observability for the associated undamped system
• Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain
• Problèmes unilateraux
• Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
• Polynomial stability of operator semigroups
• Von Karman Evolution Equations
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Decay of solutions to nondissipative hyperbolic systems on compact manifolds
• Mildly degenerate kichhoff equations with damping in unbounded domain
• Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping
• Indirect Boundary Stabilization of Weakly Coupled Hyperbolic Systems
• Exponential decay of solutions for the plate equation with localized damping
• Uniform Decay Rates for the Wave Equation with Nonlinear Damping Locally Distributed in Unbounded Domains with Finite Measure

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