Spectral analysis and exponential stability of one-dimensional wave equation with viscoelastic damping

DOI10.1016/j.jmaa.2013.08.034zbMath1316.35041OpenAlexW2163264405MaRDI QIDQ2260439

Jun-Min Wang, Jing Wang

Publication date: 10 March 2015

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.2013.08.034

zbMATH Keywords

Riesz basisspectrum-determined growth conditiongeneralized eigenfunctions

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) Integro-partial differential equations (35R09)

Related Items (5)

Infinite-Time Admissibility of the Gurtin--Pipkin Systems in Hilbert Spaces ⋮ Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures ⋮ Spectral properties of a class of operator functions with applications to the Moore-Gibson-Thompson equation with memory ⋮ Global nonexistence of solutions for nonlinear coupled viscoelastic wave equations with damping and source terms ⋮ Decay rates for 1-d mixed type II and type III thermoelastic system with localized viscous damping

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