Exponential stability of the plate equations with potential of second order and indefinite damping

DOI10.1016/j.jmaa.2009.05.030zbMath1178.35060OpenAlexW2000857217MaRDI QIDQ2272025

Jing Li, Yingtao Wu

Publication date: 5 August 2009

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.2009.05.030

zbMATH Keywords

observability inequalityCarleman estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Observability (93B07)

Related Items (5)

Abstract wave equations and associated Dirac-type operators ⋮ Global existence of a coupled Euler-Bernoulli plate system with variable coefficients ⋮ Global existence and blow-up for the Euler-Bernoulli plate equation with variable coefficients ⋮ Uniform stabilization for the coupled semi-linear wave and beam equations with distributed nonlinear feedback ⋮ Exponential decay of solutions for the plate equation with localized damping

Cites Work

• Stability results for the wave equation with indefinite damping
• Semigroups of linear operators and applications to partial differential equations
• Stabilization of the wave equations with potential and indefinite damping
• Energy decay rate of wave equations with indefinite damping
• Exponential stability of wave equations with potential and indefinite damping
• Timoshenko systems with indefinite damping
• Exponential stability for wave equations with non-dissipative damping
• Energy decay estimates for the damped plate equation with a local degenerated dissipation
• Explicit observability estimate for the wave equation with potential and its application
• Stabilization of the wave equation by on-off and positive-negative feedbacks
• Decay rates of the plate equations
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