Stabilization of the viscoelastic Euler-Bernoulli type equation with a local nonlinear dissipation

DOI10.4310/DPDE.2009.V6.N4.A3zbMath1195.35228WikidataQ115204761 ScholiaQ115204761MaRDI QIDQ846288

Tae Gab Ha, Jong Yeoul Park

Publication date: 8 February 2010

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

zbMATH Keywords

existence of solutionenergy decaylocal dissipationEuler-Bernoulli equationlocalized damping term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx)

Related Items (4)

Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms ⋮ General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping ⋮ General stability of a viscoelastic variable coefficients plate equation with time-varying delay in localized nonlinear internal feedback ⋮ Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay

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