General energy decay for wave equation with space-time potential and time delay in \(\mathbb{R}^n\)

DOI10.1007/s13370-023-01120-1OpenAlexW4388188316MaRDI QIDQ6062909

Peter O. Arawomo, Paul A. Ogbiyele

Publication date: 2 December 2023

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01120-1

zbMATH Keywords

wave equationenergy decaydelay feedbackdamping potential

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Long time behavior for a wave equation with time delay
• Existence and asymptotic stability of a viscoelastic wave equation with a delay
• Wave equations with time-dependent dissipation. I: Non-effective dissipation
• Existence and blow up time estimate for a negative initial energy solution of a nonlinear Cauchy problem
• Wave equations with time-dependent dissipation. II: Effective dissipation
• Total energy decay for semilinear wave equations with a critical potential type of damping
• Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients
• Scattering theory for wave equations with dissipative terms
• Decay of solutions of the wave equation with a local nonlinear dissipation
• Optimal decay rate of the energy for wave equations with critical potential
• General decay for a viscoelastic wave equation with density and time delay term in \(\mathbb{R}^n\)
• Energy decay for a viscoelastic wave equation with space-time potential in \(\mathbb{R}^n\)
• Global existence and exponential decay of the solution for a viscoelastic wave equation with a delay
• Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
• 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
• Lp - Lq Decay Estimates for Wave Equations with Time-Dependent Coefficients
• Optimal decay for second‐order abstract viscoelastic equation in Hilbert spaces with infinite memory and time delay
• Uniform decay for a viscoelastic wave equation with density and time-varying delay in Rn
• Energy decay for wave equations with nonlinear damping and space-time coefficient in Rn
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