Energy decay of variable-coefficient wave equation with acoustic boundary conditions and delay

DOI10.1080/00036811.2017.1395866zbMath1407.35126OpenAlexW2766834756MaRDI QIDQ4622817

Jianghao Hao, Wenhua He

Publication date: 18 February 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1395866

zbMATH Keywords

time delaywave equationexponential decaymemory type acoustic boundaryvariable-coefficients

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20)

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Cites Work

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• On the wave equation with semilinear porous acoustic boundary conditions
• Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback
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• Energy decay of a variable-coefficient wave equation with memory type acoustic boundary conditions
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• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
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• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
• Two examples of ill-posedness with respect to time delays revisited
• Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients

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