A boundary condition with memory for Kirchhoff plate equations.

DOI10.1016/S0096-3003(02)00915-3zbMath1046.74028OpenAlexW2075060326MaRDI QIDQ1417020

F. Junior, Mauro de Lima Santos

Publication date: 18 December 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00915-3

zbMATH Keywords

strong solutionexponential decayGalerkin approximationpolynomial decay

Mathematics Subject Classification ID

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Cites Work

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• Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations
• Exponential decay rates for the solutions of Euler-Bernoulli equations with boundary dissipation occuring in the moments only
• Uniform decay rates for the solutions to the Euler-Bernoulli plate equation with boundary feedback acting via bending moments
• Nonlinear boundary feedback stabilization for a semilinear Kirchhoff plate with dissipation acting only via moments-limiting behavior
• On the nonlinear boundary stabilization of Kirchhoff plates
• Decay rates for viscoelastic plates with memory
• Lectures on Nonlinear Evolution Equations

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