Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain

DOI10.1016/j.matpur.2019.05.010zbMath1437.35062arXiv1807.01968OpenAlexW2963126108WikidataQ127850810 ScholiaQ127850810MaRDI QIDQ2338121

Edda Dal Santo, Fatima Al-Zahrà Aqel, Debora Amadori

Publication date: 21 November 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01968

zbMATH Keywords

exponential decaydamped wave equation\(L^\infty\) error estimatespace-dependent relaxation model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

On the decay in \(W^{1,\infty}\) for the 1D semilinear damped wave equation on a bounded domain ⋮ One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates ⋮ Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach ⋮ \(L^p\)-asymptotic stability analysis of a 1D wave equation with a nonlinear damping ⋮ L^p-asymptotic stability of 1D damped wave equations with localized and linear damping

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