Well-posedness and asymptotic behaviour of a wave equation with non-monotone memory kernel

DOI10.1007/S00033-021-01525-7zbMath1464.35035OpenAlexW3143043436MaRDI QIDQ2026502

Rongsheng Mu, Gen-Qi Xu

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01525-7

zbMATH Keywords

exponential stabilitynon-monotone memory kernelstructural memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09) Boolean functions (94D10) Exponential stability (93D23)

Related Items (1)

Stability of a viscoelastic Timoshenko system with non-monotonic kernel

Cites Work

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• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• Equipartition of energy in linearized 3-D viscoelasticity
• One-Parameter Semigroups for Linear Evolution Equations

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