Wave equations with memory: the minimal state approach

DOI10.1016/j.jmaa.2011.06.009zbMath1232.35021OpenAlexW1992382914MaRDI QIDQ719597

Elsa M. Marchini, Monica Conti

Publication date: 10 October 2011

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.2011.06.009

zbMATH Keywords

global attractorLyapunov functionalviscoelasticityminimal statehyperbolic equation with memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Second-order nonlinear hyperbolic equations (35L70) Nonlinear constitutive equations for materials with memory (74D10) Integro-differential operators (47G20) Integro-partial differential equations (35R09)

Related Items (8)

Reaction-diffusion with memory in the minimal state framework ⋮ Nonclassical diffusion with memory lacking instantaneous damping ⋮ On the elimination of infinite memory effects on the stability of a nonlinear non-homogeneous rotating body-beam system ⋮ Optimal control for evolution equations with memory ⋮ Existence of smooth global attractors for nonlinear viscoelastic equations with memory ⋮ Nonclassical diffusion with memory ⋮ Random attractors for damped non-autonomous wave equations with memory and white noise ⋮ A remark on nonclassical diffusion equations with memory

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