On the essential spectrum of a semigroup of thermoelasticity

DOI10.1016/0362-546X(93)90178-UzbMath0837.73010OpenAlexW2027232830MaRDI QIDQ4275591

Anisio Jun. Perissinitto, Orlando Lopes, Daniel B. Henry

Publication date: 21 January 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90178-u

zbMATH Keywords

asymptotic behaviorwave equationfinite-dimensional subspacefunctional damping

Mathematics Subject Classification ID

Related Items (37)

ANALYTICITY, HYPERBOLICITY AND UNIFORM STABILITY OF SEMIGROUPS ARISING IN MODELS OF COMPOSITE BEAMS ⋮ Dynamic stabilization of systems via decoupling techniques ⋮ DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III ⋮ Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients ⋮ Unnamed Item ⋮ Weak solutions for a poro-elastic plate system ⋮ NUMERICAL APPROXIMATION OF CONTROLLABILITY OF TRAJECTORIES FOR EULER–BERNOULLI THERMOELASTIC PLATES ⋮ Energy decay rate of transmission problem between thermoelasticity of type I and type II ⋮ Asymptotic behaviour in \(n\)-dimensional thermoelasticity ⋮ Decay rates for delayed abstract thermoelastic systems with Cattaneo law ⋮ Decay rates for elastic-thermoelastic star-shaped networks ⋮ Exponential stabilization of a parabolic-hyperbolic system with localized damping and delay ⋮ Semilinear Degenerate Biot–Signorini System ⋮ Mathematical effects of linear visco-elasticity in quasi-static Biot models ⋮ Stability of abstract thermo-elastic semigroups ⋮ On the decay of a porous thermoelasticity type III with constant delay ⋮ A nonlinear thermoelastic system with nonlinear boundary conditions ⋮ Boundary stabilization for a coupled system ⋮ Attractors for a class of thermoelastic systems with vanishing mean value for temperature ⋮ Stability properties of an abstract system with applications to linear thermoelastic plates ⋮ The first real eigenvalue of a one-dimensional linear thermoelastic system ⋮ Microlocal defect measures for a degenerate thermoelasticity system ⋮ About asymptotic behavior for a transmission problem in hyperbolic thermoelasticity ⋮ Eigenvalue asymptotics in isothermal forced elongation ⋮ On a nonlinear thermoelastic system with nonlocal coefficients ⋮ Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations ⋮ On a nonlinear coupled system of thermoelastic type with acoustic boundary conditions ⋮ Compactness of the difference between the thermoviscoelastic semigroup and its decoupled semigroup ⋮ Exponential stability in thermoelasticity with microtemperatures ⋮ General stability result of abstract thermoelastic system with infinite memory ⋮ Compact decoupling for an abstract system of thermoelasticity of type III ⋮ Asymptotic analysis of a nonsimple thermoelastic rod ⋮ Unnamed Item ⋮ Existence and boundary stabilization of solutions for the coupled semilinear system ⋮ Exponential decay to thermoelastic systems over noncylindrical domains ⋮ Existence and exponential decay for contact problems in thermoelasiticity ⋮ Optimal rates of decay in 2-d thermoelasticity with second sound

Cites Work

• On the spectrum of evolution operators generated by hyperbolic systems
• Geometric theory of semilinear parabolic equations
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
• A Bifurcation Problem for a Nonlinear Hyperbolic Partial Differential Equation
• Generic Properties of Eigenfunctions
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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