Decay estimates for second order evolution equations with memory

From MaRDI portal
Publication:2476494

DOI10.1016/j.jfa.2007.09.012zbMath1145.35025OpenAlexW1980342497MaRDI QIDQ2476494

Fatiha Alabau-Boussouira, Daniela Sforza, Piermarco Cannarsa

Publication date: 20 March 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/55584



Related Items

Global Existence and Uniform Decay of Solutions for a Coupled System of Nonlinear Viscoelastic Wave Equations with Not Necessarily Differentiable Relaxation Functions, On a decay rate for nonlinear extensible viscoelastic beams with history setting, Optimal decay for a wave transmission problem with fading memory, Unnamed Item, Dynamical behavior of the indirectly and locally memory-damped Timoshenko system, Well-posedness and stability for semilinear wave-type equations with time delay, Periodic solutions of second‐order degenerate differential equations with infinite delay in Banach spaces, Viscoelasticity versus nonlinear feedback in plate systems: optimal decay, Energy decay for evolution equations with delay feedbacks, Fractional Cauchy problem with memory effects, Energy decay of dissipative plate equations with memory-type boundary conditions, Lower and upper bounds for the blow-up time to a viscoelastic Petrovsky wave equation with variable sources and memory term, Qualitative properties of solution to a viscoelastic Kirchhoff-like plate equation, Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations, On general decay for a nonlinear viscoelastic equation, Sharp decay rates for a class of nonlinear viscoelastic plate models, A new approach to abstract linear viscoelastic equation in Hilbert space, On the control of a nonlinear system of viscoelastic equations, Exponential decay for nonlinear abstract evolution equations with a countably infinite number of time‐dependent time delays, Indirect stabilization of coupled abstract evolution equations with memory: Different propagation speeds, Asymptotic behaviour of the eenergy to the viscoelastic wave equation with localized hereditary memory and supercritical source term, General decay for second-order abstract viscoelastic equation in Hilbert spaces with time delay, A study on non-autonomous second order evolution equations with nonlocal conditions, Theoretical decay results of a swelling soils system with frictional damping versus viscoelastic damping, On the elimination of infinite memory effects on the stability of a nonlinear non-homogeneous rotating body-beam system, Well-posedness and stability for an abstract evolution equation with history memory and time delay in Hilbert space, Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects, Stabilization of the viscoelastic wave equation with variable coefficients and a delay term in nonlocal boundary feedback, Uniform general stability of a coupled Volterra integro-differential equations with fading memories, Exponential stabilization of a flexible structure with a local interior control and under the presence of a boundary infinite memory, Stability and dynamics for Lamé system with degenerate memory and time-varying delay, Stability and Controllability of Operator Differential Equations, Exponential Stability of the Wave Equation with Memory and Time Delay, Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory, Unnamed Item, Decay rates for memory-type plate system with delay and source term, General decay of solutions of a wave equation with memory term and acoustic boundary condition, General decay for a class of viscoelastic problem with not necessarily decreasing kernel, On the general decay of a nonlinear viscoelastic plate equation with a strong damping and \(\vec{p}(x,t)\)-Laplacian, Coupled second order evolution equations with fading memory: optimal energy decay rate, Note on intrinsic decay rates for abstract wave equations with memory, Stochastic nonlinear wave equation with memory driven by compensated Poisson random measures, Uniform decay rates for viscoelastic dissipative systems, Unnamed Item, Weighted integral inequality and application in uniform stability for a nonlinear system with memory, Energy decay rates for a hyperbolic differential inclusion with viscoelastic boundary conditions, DYNAMIC PROPERTIES FOR NONLINEAR VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH ACOUSTIC CONTROL BOUNDARY CONDITIONS Ⅱ, Unnamed Item, Plate equations with frictional and viscoelastic dampings, Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping, General decay and blow up of solutions for the Kirchhoff plate equation with dynamic boundary conditions, delay and source terms, The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term, Existence results for some damped second-order Volterra integro-differential equations, Weighted integral inequality and applications in general energy decay estimate for a variable density wave equation with memory, Well-posedness for a class of wave equation with past history and a delay, Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition, General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping, Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy, General decay of energy to a nonlinear viscoelastic two-dimensional beam, Unified stability analysis for a Volterra integro-differential equation under creation time perspective, Global existence of solutions for a coupled viscoelastic plate equation with degenerate damping terms, Exponential or polynomial decay of solutions to a viscoelastic equation with nonlinear localized damping, Energy decay for viscoelastic plates with distributed delay and source term, Blow up at infinity of solutions for integro-differential equation, Energy decay of the solution for a weak viscoelastic equation with a time-varying delay, On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation, Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics, Exponential stability of a certain semigroup and applications, Stabilization by memory effects: Kirchhoff plate versus Euler-Bernoulli plate, Compactness properties and general stability result for an abstract nonlinear viscoelastic equation, Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations, General decay for the degenerate equation with a memory condition at the boundary, General decay result for nonlinear viscoelastic equations, Optimal decay rate estimates of a nonlinear viscoelastic Kirchhoff plate, Convergence to equilibrium of solutions to a nonautonomous semilinear viscoelastic equation with finite or infinite memory, Stochastic wave equations with memory, Memory-type plate system with nonlinear delay, Energy decay rates via convexity for some second-order evolution equation with memory and nonlinear time-dependent dissipation, Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay, Global existence and uniform decay of solutions for a system of wave equations with dispersive and dissipative terms, On spatial behavior of harmonic vibrations in viscoelastic Reissner-Mindlin plates, General stability result for a viscoelastic plate equation with past history and general kernel, General decay of solutions of a nonlinear system of viscoelastic wave equations, Exponential stability of two coupled second-order evolution equations, Stability results for second-order evolution equations with memory and switching time-delay, Asymptotic stability for the second order evolution equation with memory, Stabilization and asymptotic behavior of a generalized telegraph equation, Finite dimensionality of global attractors for a non-classical reaction-diffusion equation with memory, Long-time behavior of a class of viscoelastic plate equations, Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms, Exponential stability for the wave model with localized memory in a past history framework, A general stability result for the semilinear viscoelastic wave model under localized effects, Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions, Long-term dynamical behavior of the wave model with locally distributed frictional and viscoelastic damping, Stabilization and asymptotic behavior of dispersive medium models, Stability of a class of coupled systems, Existence and asymptotic stability of a viscoelastic wave equation with a delay, Existence and sharp decay rate estimates for a von Karman system with long memory, Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects, Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings, Blow-up of solution for a nonlinear Petrovsky type equation with memory, Moore-Gibson-Thompson equation with memory. II: General decay of energy., Generalized conditions and improved method on asymptotic stability for a wave equation with variable density, Viscoelastic plate equation with boundary feedback, Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density, A note on decay properties for the solutions of a class of partial differential equation with memory, Asymptotic behavior for second order stochastic evolution equations with memory, Global existence and exponential decay of the solution for a viscoelastic wave equation with a delay, Stability analysis of an interactive system of wave equation and heat equation with memory, Asymptotic energy estimates for nonlinear Petrovsky plate model subject to viscoelastic damping, Integro-differential equations of hyperbolic type with positive definite kernels, Asymptotic behavior for Petrovsky equation with localized damping, Asymptotic stability of abstract dissipative systems with infinite memory, General decay of solutions of a nonlinear system of viscoelastic equations, General decay estimate of energy for the second order evolution equations with memory, Plate equations with viscoelastic boundary damping, A general method for proving sharp energy decay rates for memory-dissipative evolution equations, Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels, A nonlinear viscoelastic plate equation with \(\vec{p} ( x , t )\)-Laplace operator: blow up of solutions with negative initial energy, General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source, Optimal energy decay result for nonlinear abstract viscoelastic dissipative systems, On long-time behavior of Moore-Gibson-Thompson equation with localized and degenerate memory effect, Well-posedness and asymptotic behaviour of a wave equation with non-monotone memory kernel, Energy decay of a viscoelastic wave equation with supercritical nonlinearities, A new general decay result for abstract evolution equation with time-dependent nonlinear dissipation, General decay for a viscoelastic problem with not necessarily decreasing kernel, General decay properties of abstract linear viscoelasticity, Quasi-stability and attractors for a nonlinear coupled wave system with memory, Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delay, Optimized uniform decay estimate of the solution to Petrovsky equation with memory, Exponential and polynomial stability of a wave equation for boundary memory damping with singular kernels, Energy decay rate for a coupled hyperbolic system with nonlinear damping, Study of a viscoelastic wave equation with a strong damping and variable exponents, Exponential stabilization of a viscoelastic wave equation with dynamic boundary conditions, Stability and dynamics of a weak viscoelastic system with memory and nonlinear time-varying delay, \(L^p\)-maximal regularity for a class of degenerate integro-differential equations with infinite delay in Banach spaces, Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback, Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels, Uniform decay of solutions for a quasilinear system of viscoelastic equations, Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities, Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping, Global existence and asymptotic behavior for a coupled hyperbolic system with localized damping, Nonlocal integrated solutions for a class of abstract evolution equations, Decay properties for the numerical solutions of a partial differential equation with memory, Asymptotic stability in linear viscoelasticity with supplies, Optimal decay result for Kirchhoff plate equations with nonlinear damping and very general type of relaxation functions, Exponential stability for the 2D wave model with localized memory in a past history framework and nonlinearity of arbitrary growth, Exponential stability of abstract evolution equations with time delay, On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates, Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions



Cites Work