General and optimal decay for a viscoelastic equation with boundary feedback

DOI10.12775/TMNA.2017.066zbMath1395.35034OpenAlexW2801475648WikidataQ129765863 ScholiaQ129765863MaRDI QIDQ1668820

Waled Al-Khulaifi, Messaoudi A. Salim

Publication date: 29 August 2018

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1524535240

zbMATH Keywords

nonlinear boundary conditionrelaxation functiongeneral decay rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Linear constitutive equations for materials with memory (74D05)

Related Items (8)

Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights ⋮ Initial boundary value problem for a viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term: decay estimates and blow-up result ⋮ New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions ⋮ On the general stability of a viscoelastic wave equation with an integral condition ⋮ Decay results for a viscoelastic problem with nonlinear boundary feedback and logarithmic source term ⋮ General and optimal decay result for a viscoelastic problem with nonlinear boundary feedback ⋮ Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights ⋮ New general decay results in an infinite memory viscoelastic problem with nonlinear damping

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