Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary.
type: Item
instance of: scholarly article
title: Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary.
zbMATH Open document ID: 1047.35107
DOI: 10.1016/S0096-3003(03)00284-4
published in: Applied Mathematics and Computation
publication date: 2004-03-14T00:00:00Z
review text: The authors consider the existence of global solutions and the asymptotic behavior of the energy related to a degenerate system of wave equations with boundary conditions of memory type. They established the existence and uniqueness for regular and weak solutions. They also investigated uniform exponential decay rates and uniform polynomial decay rates.
Mathematics Subject Classification ID: 35L80
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L55
zbMATH DE Number: 2055867
zbMATH Keywords: degenerate system
zbMATH Keywords: boundary memory conditions
zbMATH Keywords: system of wave equations
zbMATH Keywords: exponential decay rates
zbMATH Keywords: polynomial decay rates
author: M. M. Cavalcanti
author: V. N. Domingos Cavalcanti
author: Mauro Santos
MaRDI profile type: Publication
cites work: Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain
cites work: A note on the boundary stabilization of a compactly coupled system of wave equations
cites work: Strong asymptotic stability of a compactly coupled system of wave equations
cites work: Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
cites work: Stabilisation frontière indirecte de systèmes faiblement couplés
cites work: Indirect internal stabilization of weakly coupled evolution equations
cites work: Exponential decay of non-linear wave equation with a viscoelastic boundary condition
cites work: Indirect internal observability stabilization of coupled systems with locally distributed damping
cites work: On existence and asymptotic stability of solutions of the degenerate wave equation with nonlinear boundary conditions
cites work: A differential problem for heat equation with a boundary condition with memory
cites work: Q3715492
cites work: A boundary condition with memory in electromagnetism
cites work: Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type
cites work: Q4361191
cites work: Ingham-Type Theorems for Vector-Valued Functions and Observability of Coupled Linear Systems
cites work: Q5890172
cites work: Q4003172
cites work: Asymptotic behavior of solutions to wave equations with a memory condition at the boundary
cites work: Q4530278
cites work: Global solvability of nonlinear wave equation with a viscoelastic boundary condition
cites work: Q4300664
cites work: Uniform stability of displacement coupled second-order equations
description: scientific article; zbMATH DE number 2055867