Stabilization and asymptotic behavior of a generalized telegraph equation

DOI10.1007/s00033-015-0568-0zbMath1347.35151OpenAlexW4308855473MaRDI QIDQ903234

Serge Nicaise

Publication date: 5 January 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0568-0

zbMATH Keywords

decay ratesstabilization\(C_0\)-semigrouptelegraph equationexponential decaypolynomial decay\(L^\infty\) coefficients

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (2)

Existence, uniqueness and stabilization of solutions of a generalized telegraph equation on star shaped networks ⋮ Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Stabilization and asymptotic behavior of dispersive medium models
• Optimal polynomial decay of functions and operator semigroups
• General decay rates of solutions to a nonlinear wave equation with boundary condition of memory type.
• Non-uniform stability for bounded semi-groups on Banach spaces
• Viscoelastic relaxation functions compatible with thermodynamics
• Rational energy decay rate for a wave equation with dynamical control
• Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section
• Decay estimates for second order evolution equations with memory
• Characterization of polynomial decay rate for the solution of linear evolution equation
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• Polynomial stability of operator semigroups
• On the Spectrum of C 0 -Semigroups
• Tauberian Theorems and Stability of One-Parameter Semigroups
• The rate at which energy decays in a damped String
• Asymptotic Decay for Some Differential Systems with Fading Memory
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain
• Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section
• Exponential decay of non-linear wave equation with a viscoelastic boundary condition

This page was built for publication: Stabilization and asymptotic behavior of a generalized telegraph equation