The exponential stabilization of the higher-dimensional linear system of thermoviscoelasticity
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Publication:1128315
DOI10.1016/S0021-7824(98)80103-7zbMath0922.35018WikidataQ126844201 ScholiaQ126844201MaRDI QIDQ1128315
Publication date: 11 October 1999
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Integro-partial differential equations (45K05) Stability in context of PDEs (35B35) Thermodynamics in solid mechanics (74A15) Dynamical problems in solid mechanics (74Hxx)
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Cites Work
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- Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
- Decay of solutions of wave equations in a bounded region with boundary dissipation
- Semigroups of linear operators and applications to partial differential equations
- Exponential stabilization of Volterra integrodifferential equations in Hilbert space
- A direct method for the boundary stabilization of the wave equation
- Dynamical systems and evolution equations. Theory and applications
- Adaptive nonlinear control without overparametrization
- Exponential energy decay in a linear thermoelastic rod
- Asymptotic stability in linear thermoviscoelasticity
- Global smooth solutions for the Cauchy problem in nonlinear viscoelasticity
- On the energy decay of a linear thermoelastic bar
- Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. (Exact controllability of solutions to the wave equation under presence of singularities)
- A note on the equations of a thermoelastic plate
- A decomposition method for integro-partial differential equations and applications
- A global existence theorem for the Dirichlet problem in nonlinear \(n\)-dimensional visocelasticity
- Decay rates of solutions of an anisotropic inhomogeneous \(n\)-dimensional viscoelastic equation with polynomially decaying kernels
- On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- Boundary Stabilization of Linear Elastodynamic Systems
- Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
- On boundary feedback stabilisability of a viscoelastic beam
- The decay of the energy in a viscoelastic body
- On the Energy Decay of a Linear Thermoelastic Bar and Plate
- Boundary Observability, Controllability, and Stabilization of Linear Elastodynamic Systems
- Exponential stability of the semigroup associated with a thermoelastic system
- Estimations explicites sur le taux de décroissance exponentielle pour le système de von Kármán de plaques thermoélastiques
- Sur la décroissance non uniforme de l'énergie dans le système de la thermoélasticité linéaire
- On boundary feedback stabilization of a viscoelastic membrane
- On the exponential stability of linear viscoelasticity and thermoviscoelasticity
