Exponential stability for a class of linear hyperbolic equations with hereditary memory

DOI10.3934/dcdsb.2013.18.1555zbMath1277.35053OpenAlexW2327283536MaRDI QIDQ378997

Elsa M. Marchini, Monica Conti, Vittorino Pata

Publication date: 12 November 2013

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.1555

zbMATH Keywords

memory kernelshereditary heat conductionsemigroups of linear contractions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Stability in context of PDEs (35B35) Groups and semigroups of linear operators (47D03) Stability theory for integral equations (45M10) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (5)

Exponential decay of a first order linear Volterra equation ⋮ On the Moore-Gibson-Thompson equation with thermal effects of Gurtin-Pipkin type ⋮ Stability analysis for linear heat conduction with memory kernels described by Gamma functions ⋮ Nonclassical diffusion with memory ⋮ Asymptotic stability of thermoelastic systems of Bresse type

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