A new method to obtain decay rate estimates for dissipative systems
From MaRDI portal
Publication:4259421
DOI10.1051/cocv:1999116zbMath0923.35027OpenAlexW1992941868MaRDI QIDQ4259421
Publication date: 23 August 1999
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/90548
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20)
Related Items
Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations, Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity, Decay rate estimates for a new class of multidimensional nonlinear Bresse systems with time-dependent dissipations, Global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic plate equation involving \((p(x), q(x))\)-Laplacian operator, Qualitative analysis for a system of anisotropic parabolic equations with sign‐changing logarithmic nonlinearity, Asymptotic behavior of solutions for a nonlinear viscoelastic higher-order \(p(x)\)-Laplacian equation with variable-exponent logarithmic source term, Blow‐up and energy decay for a class of wave equations with nonlocal Kirchhoff‐type diffusion and weak damping, Global well-posedness of solutions to a class of double phase parabolic equation with variable exponents, An effect of decay rates: supercritical damping and a viscoelastic term, Global existence, energy decay, and blowup of solutions for a wave equation type \(p\)-Laplacian with memory term and dynamic boundary conditions, General stability and exponential growth of nonlinear variable coefficient wave equation with logarithmic source and memory term, Stability of the wave equation with localized Kelvin–Voigt damping and dynamic Wentzell boundary conditions with delay, Unnamed Item, Unnamed Item, A class of nonlinear parabolic equations with anisotropic nonstandard growth conditions, Note on intrinsic decay rates for abstract wave equations with memory, Energy decay rate for the wave equation with variable coefficients and boundary source term, Global existence and asymptotic behaviour for systems of nonlinear hyperbolic equations, Qualitative analysis of solutions for a Kirchhoff-type parabolic equation with multiple nonlinearities, Unnamed Item, Uniform decay rates for viscoelastic dissipative systems, Unnamed Item, Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping, General decay for a nonlinear beam equation with weak dissipation, Uniform decay for wave equations with weakly dissipative boundary feedback, Energy decay of solutions to the Cauchy problem for a nondissipative wave equation, Plate equations with frictional and viscoelastic dampings, Existence and general decay estimates for a Petrovsky-Petrovsky coupled system with nonlinear strong damping, Well-posedness and exponential stability for coupled Lamé system with a viscoelastic damping, Global existence and energy decay estimate of solutions for a class of nonlinear higher-order wave equation with general nonlinear dissipation and source term, Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term, Well-posedness and direct internal stability of coupled non-degenerate Kirchhoff system via heat conduction, Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms, General decay estimates for the wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary, Global attractor and decay estimates of solutions to a class of nonlinear evolution equations, A nonlinear thermoelastic Bresse system: global existence and exponential stability, Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity, On wave equation: review and recent results, Boundary stabilisation of the wave equation in the presence of singularities, Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term, Global solution and blow-up for a class of pseudo \(p\)-Laplacian evolution equations with logarithmic nonlinearity, General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping, A stability result for a swelling porous system with nonlinear boundary dampings, Decay rate estimates for a class of quasilinear hyperbolic equations with damping terms involving p-Laplacian, Stability for the Mixed Problem Involving the Wave Equation, with Localized Damping, in Unbounded Domains with Finite Measure, Global existence and energy decay of solutions to a coupled wave and Petrovsky system with nonlinear dissipations and source terms, Global existence, uniqueness, and asymptotic behavior of solution for \(p\)-Laplacian type wave equation, Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction, Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth, Global solution and blow-up for a class of \(p\)-Laplacian evolution equations with logarithmic nonlinearity, Energy decay for the wave equation of variable coefficients with acoustic boundary conditions in domains with nonlocally reacting boundary, Unnamed Item, General decay rate estimates for viscoelastic wave equation with variable coefficients, Energy decay rate of solutions for the wave equation with singular nonlinearities, General energy decay rates for a weakly damped Timoshenko system, Energy decay of dissipative plate equations with memory-type boundary conditions, Decay of energy for second-order boundary hemivariational inequalities with coercive damping, General energy decay for a viscoelastic equation of Kirchhoff type with acoustic boundary conditions, On the existence and decay of solution for viscoelastic wave equation with nonlinear source in weighted spaces, Stabilization of the damped wave equation with Cauchy-Ventcel boundary conditions, General decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measure, Sharp energy estimates for nonlinearly locally damped PDEs via observability for the associated undamped system, Global attractors for the higher-order evolution equation, New integral inequalities and applications to stabilization of nondissipative distributed systems, A general decay result in a quasilinear parabolic system with viscoelastic term, Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source, Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms, A one-step optimal energy decay formula for indirectly nonlinearly damped hyperbolic systems coupled by velocities, Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory, Existence and stability results of a plate equation with nonlinear damping and source term, Strong lower energy estimates for nonlinearly damped Timoshenko beams and Petrowsky equations, Asymptotic stability of the semilinear wave equation with boundary damping and source term, Existence and asymptotic stability for evolution problems on manifolds with damping and source terms., RETRACTED ARTICLE: Global existence and general decay estimates of solutions of the degenerate or non-degenerate Kirchhoff equation with general dissipation, Comments on ``Blow-up and decay for a class of pseudo-parabolic \(p\)-Laplacian equation with logarithmic nonlinearity, General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions, Blow-up and decay for a class of pseudo-parabolic \(p\)-Laplacian equation with logarithmic nonlinearity, Energy decay and global attractors for thermoviscoelastic systems, General decay rate estimates for viscoelastic dissipative systems, The rate at which the energy of solutions for a class of \(p\)-Laplacian wave equation decays, Energy decay of solutions of a degenerate Kirchhoff equation with a weak nonlinear dissipation, Existence and non-existence of global solutions for a nonlocal Choquard-Kirchhoff diffusion equations in \(\mathbb{R}^N \), Global solutions and blow-up for the wave equation with variable coefficients. I: Interior supercritical source, Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term, General stability and exponential growth for a class of semi-linear wave equations with logarithmic source and memory terms, Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain, Global existence and optimal decay rate of solutions for the degenerate quasilinear wave equation with a strong dissipation, Decay estimates for second order evolution equations with memory, Viscoelastic plate equation with boundary feedback, Local convergence and speed estimates for semilinear wave systems damped by boundary friction, Nonlinear damped partial differential equations and their uniform discretizations, On convexity for energy decay rates of a viscoelastic equation with boundary feedback, Global existence and blow-up for the fractional \(p\)-Laplacian with logarithmic nonlinearity, On a class of nonlinear heat equations with viscoelastic term, Boundary feedback stabilization of Kirchhoff-type Timoshenko system, Asymptotic behavior for Petrovsky equation with localized damping, General energy decay of solutions for a weakly dissipative Kirchhoff equation with nonlinear boundary damping, Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms, Global existence and uniform decay for wave equation with dissipative term and boundary damping, Energy decay rates for solutions of the wave equation with boundary damping and source term, New trends towards lower energy estimates and optimality for nonlinearly damped vibrating systems, General energy decay rates for a weakly damped wave equation, General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source, General stability of a viscoelastic variable coefficients plate equation with time-varying delay in localized nonlinear internal feedback, Energy decay of solutions for a variable-coefficient viscoelastic wave equation with a weak nonlinear dissipation, Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions, Energy decay rate for a coupled hyperbolic system with nonlinear damping, Study of a viscoelastic wave equation with a strong damping and variable exponents, Uniform stability of transmission of wave-plate equations with source on Riemannian manifold, Existence of solution for a class of heat equation with double criticality, Stabilization of the wave equation with a localized nonlinear strong damping, One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates, Stability result of a suspension bridge problem with time-varying delay and time-varying weight, On the control of solutions of viscoelastic equations with boundary feedback, General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient, Weighted integral inequality and application in uniform stability for a nonlinear system with memory, Uniform decay rate estimates for a class of quasi-linear hyperbolic equations with non-linear damping and source terms, Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping, Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping, Viscoelastic versus frictional dissipation in a variable coefficients plate system with time-varying delay, Unnamed Item, Asymptotic stability of memory-type Euler-Bernoulli plate with variable coefficients and time delay, Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms, Global existence and asymptotic behavior for a coupled hyperbolic system with localized damping, Decay rates for a viscoelastic wave equation with Balakrishnan-Taylor and frictional dampings, Precise decay rate estimates for time-dependent dissipative systems, Rational rates of uniform decay for strong solutions to a fluid-structure PDE system, Global and blow-up of solutions for a quasilinear parabolic system with viscoelastic and source terms, Sharp time decay rates on a hyperbolic plate model under effects of an intermediate damping with a time-dependent coefficient
Cites Work
- 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
- A direct method for the boundary stabilization of the wave equation
- Decay estimates for some semilinear damped hyperbolic problems
- Sharp estimates of the energy for the solutions of some dissipative second order evolution equations
- Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- On the nonlinear boundary stabilization of the wave equation
- Stabilization of the wave equation with localized nonlinear damping
- A new method to obtain decay rate estimates for dissipative systems with localized damping
- Boundary stabilization of a 3-dimensional structural acoustic model
- Global stabilization of a dynamic von Kármán plate with nonlinear boundary feedback
- Analysis and control of nonlinear infinite dimensional systems
- Nonlinear boundary stabilization of parallelly connected Kirchhoff plates
- Decay of solutions of the wave equation with a local nonlinear dissipation
- Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Uniform Stabilizability of a Full Von Karman System with Nonlinear Boundary Feedback
- Optimalité d'estimations d'énergie pour une équation des ondes amortie
- Optimality of Energy Estimates for the Wave Equation with Nonlinear Boundary Velocity Feedbacks
- Asymptotic Behaviour of Solutions of the One-Dimensional Wave Equation with a Nonlinear Boundary Stabilizer
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item