On the optimal decay rate of the weakly damped wave equation

DOI10.3934/cpaa.2022107zbMath1498.35067OpenAlexW4285255779MaRDI QIDQ2079203

Vittorino Pata, Lorenzo Liverani, Monica Conti

Publication date: 29 September 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022107

zbMATH Keywords

energy estimatestelegrapher's equationoptimal decay rateweakly damped wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Abstract hyperbolic equations (35L90)

Cites Work

• The MGT-Fourier model in the supercritical case
• Semigroups of linear operators and applications to partial differential equations
• Second order linear evolution equations with general dissipation
• Overdamping and energy decay for abstract wave equations with strong damping
• One-Parameter Semigroups for Linear Evolution Equations
• On the overdamping phenomenon: A general result and applications

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