scientific article; zbMATH DE number 7796983

DOI10.22034/kjm.2023.350018.2587MaRDI QIDQ6144926

Messaoudi A. Salim, Paul A. Ogbiyele

Publication date: 30 January 2024

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

energy decayrelaxation functiondamping potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• On the control of solutions of a viscoelastic equation
• General and optimal decay for a quasilinear viscoelastic equation
• Global existence uniqueness and decay estimates for nonlinear viscoelastic wave equation with boundary dissipation
• Energy decay rates of elastic waves in unbounded domain with potential type of damping
• 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
• Functional analysis, Sobolev spaces and partial differential equations
• The total energy decay of solutions for the wave equation with a dissipative term
• Scattering theory for wave equations with dissipative terms
• Energy decay of solutions of dissipative wave equations
• On wave equation: review and recent results
• Optimal decay rate of the energy for wave equations with critical potential
• Energy decay for a viscoelastic wave equation with space-time potential in \(\mathbb{R}^n\)
• General decay estimates for a Cauchy viscoelastic wave problem
• General decay of solutions of a viscoelastic equation
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Energy decay and asymptotic behavior of solutions to the wave equations with linear dissipation
• Critical Exponent for Semilinear Wave Equations with Space-Dependent Potential
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Lp - Lq Decay Estimates for Wave Equations with Time-Dependent Coefficients