Well-posedness and stabilization of an Euler-Bernoulli equation with a localized nonlinear dissipation involving the \(p\)-Laplacian

DOI10.3934/DCDS.2012.32.2315zbMath1242.93118OpenAlexW2316157407MaRDI QIDQ423877

Louis Roder Tcheugoué Tébou

Publication date: 30 May 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.2315

zbMATH Keywords

stabilizationLyapunov method\(p\)-Laplacianplate equationdifferential inequalitiesmultiplier techniqueslocalized dampingEuler-Bernoulli equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Plates (74K20) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Strong solutions to PDEs (35D35)

Related Items (4)

Spectral inequality and resolvent estimate for the bi-Laplace operator ⋮ Stabilization of the Euler-Bernoulli plate with variable coefficients by nonlinear internal feedback ⋮ Stabilization of 2-D Mindlin-Timoshenko plates with localized acoustic boundary feedback ⋮ Stabilization of the damped plate equation under general boundary conditions

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