Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
From MaRDI portal
Publication:1261630
zbMath0803.35088MaRDI QIDQ1261630
Publication date: 8 January 1995
Published in: Differential and Integral Equations (Search for Journal in Brave)
Initial-boundary value problems for second-order hyperbolic equations (35L20) Popov-type stability of feedback systems (93D10) Second-order nonlinear hyperbolic equations (35L70)
Related Items
Global existence and general decay of a weakly nonlinear damped Timoshenko system of thermoelasticity of type III with infinite memory, On the existence and stability of a nonlinear wave system with variable exponents, Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms, General Decay Result for a Weakly Damped Thermo-Viscoelastic System with Second Sound, Long time dynamics and upper semi-continuity of attractors for piezoelectric beams with nonlinear boundary feedback, General decay results for a viscoelastic Euler-Bernoulli equation with logarithmic nonlinearity source and a nonlinear boundary feedback, Uniform decay rates for a variable-coefficient structural acoustic model with curved interface on a shallow shell, Wave equation with viscoelastic acoustic boundary conditions and supercritical source term, Exponential decay for semilinear wave equation with localized damping in the hyperbolic space, Stability results for piezoelectric beams with long‐range memory effects in the boundary, Second Order Systems on Hilbert Spaces with Nonlinear Damping, Exponential stabilization of a parabolic-hyperbolic system with localized damping and delay, Viscoelasticity versus nonlinear feedback in plate systems: optimal decay, Energy decay in a viscoelastic equation with past history and boundary feedback, Stabilization of the critical semilinear wave equation on non-compact Riemannian manifold, Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity, On the asymptotic behavior of solutions to a structural acoustics model, On the decay of solutions of a viscoelastic wave equation with variable sources, Global solvability and decay estimates for a type III thermo‐viscoelastic coupled system with infinite memory and boundary interaction feedback, On general decay for a nonlinear viscoelastic equation, Energy decay for a wave equation of variable coefficients with logarithmic nonlinearity source term, General decay of the solution to a nonlinear viscoelastic beam with delay, Uniform stabilisation of a thermoelastic system with static Wentzell conditions, On the energy decay of a viscoelastic piezoelectric beam model with nonlinear internal forcing terms and a nonlinear feedback, A class of viscoelastic wave equations with exponential source and the nonlinear strong damping, Stabilization of the wave equation through nonlinear Dirichlet actuation, Asymptotic behavior of the coupled Klein–Gordon–Schrödinger systems on compact manifolds, Asymptotic behaviour of the eenergy to the viscoelastic wave equation with localized hereditary memory and supercritical source term, Polynomial stabilizations for wave equations with positive definite kernels and boundary frictional damping, Theoretical and computational decay results for a memory type wave equation with variable-exponent nonlinearity, Existence and asymptotic stability of solutions for a hyperbolic equation with logarithmic source, Theoretical decay results of a swelling soils system with frictional damping versus viscoelastic damping, Arbitrary decay for a von Karman system with memory, Optimal memory-type boundary control of the Bresse system, Limiting dynamics in one-dimensional porous-elasticity, Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping, Double-wall carbon nanotubes model with nonlinear localized damping: asymptotic stability, A Stability Result for a Timoshenko System with Infinite History and Distributed Delay Term, Blow‐up of solutions of wave equation with a nonlinear boundary condition and interior focusing source of variable order of growth, Stability of the wave equation with localized Kelvin–Voigt damping and dynamic Wentzell boundary conditions with delay, Elastic membrane equation with dynamic boundary conditions and infinite memory, Uniform decay rate estimates for the 2D wave equation posed in an inhomogeneous medium with exponential growth source term, locally distributed nonlinear dissipation, and dynamic Cauchy–Ventcel–type boundary conditions, Stabilization of a semilinear wave equation with delay, Global well-posedness and stability results for an abstract viscoelastic equation with a non-constant delay term and nonlinear weight, Stability and Controllability of Operator Differential Equations, Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation, Memory-type boundary control of a laminated Timoshenko beam, On spectral properties of one boundary value problem with a surface energy dissipation, Global existence of solutions to a viscoelastic non-degenerate Kirchhoff equation, Systems of nonlinear wave equations with damping and supercritical boundary and interior sources, Uniform stabilization for the semilinear wave equation in an inhomogeneous medium with locally distributed nonlinear damping and dynamic Cauchy–Ventcel type boundary conditions, Energy decay rate for the wave equation with variable coefficients and boundary source term, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Uniform decay rates for viscoelastic dissipative systems, Numerical analysis for the wave equation with locally nonlinear distributed damping, Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity, Unnamed Item, Unnamed Item, Unnamed Item, Weak and strong stabilisation of bilinear systems in a Banach space, On Modeling and Uniform Stability of a Partially Dissipative Viscoelastic Timoshenko System, Unnamed Item, General decay for a nonlinear beam equation with weak dissipation, Global existence and uniform stabilization of a generalized dissipative Klein–Gordon equation type with boundary damping, Global existence and energy decay of solutions to a viscoelastic Bresse-type system with a nonlinear delay term, Uniform stabilization of a variable coefficient wave equation with nonlinear damping and acoustic boundary, Asymptotic behavior of a laminated beam with nonlinear delay and nonlinear structural damping, Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback, Asymptotics for wave equations with damping only on the dynamical boundary, General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping, Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy, Existence and energy decay rates of solutions to the variable-coefficient Euler-Bernoulli plate with a delay in localized nonlinear internal feedback, A nonlinear thermoelastic Bresse system: global existence and exponential stability, Global stabilization of a dynamic von Kármán plate with nonlinear boundary feedback, The Moore-Gibson-Thompson equation with memory in the critical case, On a nonlinear degenerate evolution equation with nonlinear boundary damping, Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms, Partial exact controllability for inhomogeneous multidimensional thermoelastic diffusion problem, Energy decay for viscoelastic plates with distributed delay and source term, Convergence of the wave equation damped on the interior to the one damped on the boundary, Decay rates of the hyperbolic equation in an exterior domain with half-linear and nonlinear boundary dissipations, Energy decay and periodic solution for the wave equation in an exterior domain with half-linear and nonlinear boundary dissipations, Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping, On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation, Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions, Boundary stabilization of nonlinear vibrations of a flexible structure on a Riemannian manifold, Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions, Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction, The stability for a one-dimensional wave equation with nonlinear uncertainty on the boundary, Energy decay of a variable-coefficient wave equation with memory type acoustic boundary conditions, General decay rate estimates for viscoelastic wave equation with variable coefficients, General energy decay rates for a weakly damped Timoshenko system, Uniform stabilization to equilibrium of a nonlinear fluid-structure interaction model, On existence and asymptotic stability of solutions of the degenerate wave equation with nonlinear boundary conditions, On the wave equation with semilinear porous acoustic boundary conditions, Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping, 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, Well-posedness and stability of a hinged plate equation with a localized nonlinear structural damping, Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms, Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping, Wave equations with super-critical interior and boundary nonlinearities, Energy decay rates for von Kármán system with memory and boundary feedback, Existence and asymptotic behavior of the wave equation with dynamic boundary conditions, Strong lower energy estimates for nonlinearly damped Timoshenko beams and Petrowsky equations, Existence and asymptotic stability for evolution problems on manifolds with damping and source terms., Stabilization of the Euler-Bernoulli plate with variable coefficients by nonlinear internal feedback, Interface feedback control stabilization of a nonlinear fluid-structure interaction, Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback, RETRACTED ARTICLE: Global existence and general decay estimates of solutions of the degenerate or non-degenerate Kirchhoff equation with general dissipation, Existence and sharp decay rate estimates for a von Karman system with long memory, On the control of the wave equation by memory-type boundary condition, Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate, Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects, On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms, General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions, Behaviors of the energy of solutions of the wave equation with damping and external force, Global well-posedness and stability of semilinear Mindlin-Timoshenko system, A general decay result of a viscoelastic equation with past history and boundary feedback, Exponential stabilization of magnetoelastic waves in a Mindlin-Timoshenko plate by localized internal damping, On a nonlinear thermoelastic system with nonlocal coefficients, Energy decay for the elastic wave equation with a local time-dependent nonlinear damping, Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source, Moore-Gibson-Thompson equation with memory. II: General decay of energy., General and optimal decay for a quasilinear viscoelastic equation, On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source, Viscoelastic plate equation with boundary feedback, Energy decay of solutions for the wave equation with a time-varying delay term in the weakly nonlinear internal feedbacks, A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound, Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density, Nonlinear damped partial differential equations and their uniform discretizations, On convexity for energy decay rates of a viscoelastic equation with boundary feedback, Strong stability and uniform decay of solutions to a wave equation with semilinear porous acoustic boundary conditions, Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation, Asymptotic behavior for Petrovsky equation with localized damping, 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, Long-time behavior of a model of extensible beams with nonlinear boundary dissipations, New trends towards lower energy estimates and optimality for nonlinearly damped vibrating systems, Well-posedness for a variable-coefficient wave equation with nonlinear damped acoustic boundary conditions, Rate of decay of solutions of the wave equation with arbitrary localized nonlinear damping, Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping, General decay of solutions of a wave equation with a boundary control of memory type, General energy decay rates for a weakly damped wave equation, Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result, Uniform decay of the solution to a wave equation with memory conditions on the boundary, Energy decay of a viscoelastic wave equation with supercritical nonlinearities, Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping, General decay rates for a viscoelastic wave equation with dynamic boundary conditions and past history, Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions, Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping, Stability of Mindlin-Timoshenko plate with nonlinear boundary damping and boundary sources, Energy decay for nondissipative distributed systems with boundary damping and source term, On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source, Energy decay rate for a coupled hyperbolic system with nonlinear damping, Stabilization of the wave equation with localized nonlinear damping, Existence and exponential decay for a Kirchhoff-Carrier model with viscosity, Strong stabilization with decay estimate of semilinear systems, Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent, Nonlinear boundary feedback stabilization for a semilinear Kirchhoff plate with dissipation acting only via moments-limiting behavior, Stabilization and decay estimate for distributed bilinear systems, On the global finite-time stabilization of bilinear systems by homogeneous feedback laws. Applications to some PDE's, On a Kirchhoff wave model with nonlocal nonlinear damping, Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping, On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback, Global existence and asymptotic behavior for a coupled hyperbolic system with localized damping, Boundary stabilization of a 3-dimensional structural acoustic model, Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks, Mixed finite elements for global tide models with nonlinear damping, Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term, Stabilization of a transmission problem with past history and acoustic boundary conditions, On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation, Exponential asymptotic stability for the Klein Gordon equation on non-compact Riemannian manifolds, General decay of energy to a nonlinear viscoelastic two-dimensional beam, Existence and general decay estimate for a nonlinear plate problem, Exponential stability for laminated beams with intermediate damping, On wave equation: review and recent results, Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay, A class of incrementally scattering-passive nonlinear systems, Uniform energy decay rates for a transmission problem of Timoshenko system with two memories, Polynomial decay of a internal nonlinear damping structurally acoustic models with variable coefficients, Stabilization of the critical semilinear Klein-Gordon equation in compact space, Asymptotic stability of a viscoelastic problem with Balakrishnan-Taylor damping and time-varying delay, Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term, A stability result for a swelling porous system with nonlinear boundary dampings, General and optimal decay for a viscoelastic equation with boundary feedback, Analytical and computational results for the decay of solutions of a damped wave equation with variable-exponent nonlinearities, Nonlinear boundary stabilization of parallelly connected Kirchhoff plates, On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources, Optimal decay rate estimates of a nonlinear viscoelastic Kirchhoff plate, Long-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditions, Feedback stabilization of a linear hydro-elastic system, Boundary stabilization for wave equations with damping only on the nonlinear Wentzell boundary, Global existence and energy decay of solutions to a coupled wave and Petrovsky system with nonlinear dissipations and source terms, General decay of solutions to a one-dimensional thermoelastic beam with variable coefficients, Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources, Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints, General decay for a viscoelastic rotating Euler-Bernoulli beam, Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions, Well-posedness and energy decay of solutions to a nonlinear Bresse system with delay terms, Porous elastic system with nonlinear damping and sources terms, Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions, Well-posedness and energy decay for Timoshenko systems with discrete time delay under frictional damping and/or infinite memory in the displacement, Complex Ginzburg-Landau equations with dynamic boundary conditions, Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source, Stabilization for wave equation of variable coefficients with Balakrishnan-Taylor damping and source term, On the long-time behavior of a nonlinear damped porous thermoelastic system with second sound, Influence of the hidden regularity on the stability of partially damped systems of wave equations, A general stability result for the semilinear viscoelastic wave model under localized effects, Long-term dynamical behavior of the wave model with locally distributed frictional and viscoelastic damping, Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping, Boundary stabilization of the wave equation with time-varying and nonlinear feedback, A general formula for decay rates of nonlinear dissipative systems., Global attractors for von Karman evolutions with a nonlinear boundary dissipation., Boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback, On the control of dissipative viscoelastic Timoshenko beams, Exponential decay rates for a full von Karman system of dynamic thermoelasticity, Uniform boundary stabilization of nonlinear spherical shells by using two controls only: Analysis and numerical computations, Nonlinear boundary stabilization of an inhomogeneous and anisotropic thermoelasticity system, An unbounded stabilization problem of bilinear systems, Asymptotic stability of energy for a weak viscoelastic plate equation with complementary frictional damping, Exponential stabilization of the wave equation on hyperbolic spaces with nonlinear locally distributed damping, Well-posedness and general energy decay of solution for transmission problem with weakly nonlinear dissipative, New general decay result for a class of neutral viscoelastic equations, Stabilization of the critical semilinear wave equation with Dirichlet-Neumann boundary condition on bounded domain, Generalized conditions and improved method on asymptotic stability for a wave equation with variable density, 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, Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems, New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions, Uniform stability for a semilinear non-homogeneous Timoshenko system with localized nonlinear damping, Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions, Stabilization of the wave equation with boundary time-varying delay, Uniform decay rate estimates for the wave equation in an inhomogeneous medium with simultaneous interior and boundary feedbacks, Local convergence and speed estimates for semilinear wave systems damped by boundary friction, Arbitrary decay rates of energy for a von Karman equation of memory type, Existence of global solutions and decay estimates for a viscoelastic Petrovsky equation with internal distributed delay, Global existence and stability for semilinear wave equations damped by time-dependent boundary frictions, Attractors for second-order evolution equations with a nonlinear damping, General energy decay of solutions for a weakly dissipative Kirchhoff equation with nonlinear boundary damping, Asymptotic stability for Bresse systems, Regularity of invariant sets in variable internal damped wave equations, Optimal energy decay result for nonlinear abstract viscoelastic dissipative systems, Local existence and global nonexistence of a solution for a love equation with infinite memory, Optimized uniform decay estimate of the solution to Petrovsky equation with memory, A note on the boundary stabilization of a compactly coupled system of wave equations, Energy decay for a porous-elastic system with nonlinear localized damping, Decay rates of energy of the 1D damped original nonlinear wave equation, On the decay rates for a one-dimensional porous elasticity system with past history, Uniform stabilization for the coupled semi-linear wave and beam equations with distributed nonlinear feedback, Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics, Blow-up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources, Decay results for a viscoelastic problem with nonlinear boundary feedback and logarithmic source term, On the stabilization of a flexible structure via a nonlinear delayed boundary control, Mixed problem for systems of hyperbolic equations with nonlinear boundary dissipation and a nonlinear source of variable growth order, Uniform stabilization for a semilinear wave equation with variable coefficients and nonlinear boundary conditions, Uniform decay rates and asymptotic analysis of the von Kármán plate with nonlinear dissipation in the boundary moments, Boundary feedback stabilization of a critical nonlinear JMGT equation with Neumann-undissipated part of the boundary, Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems. II: case of multiple feedback dampings, Decay rate estimates for the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation, Precise decay rate estimates for time-dependent dissipative systems, Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface, Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms, Optimal decay result for Kirchhoff plate equations with nonlinear damping and very general type of relaxation functions, New general decay results for a viscoelastic plate equation with a logarithmic nonlinearity, Exponential stability for the 2D wave model with localized memory in a past history framework and nonlinearity of arbitrary growth, Stability for locally coupled wave-type systems with indirect mixed-type dampings, Stabilization of the variable-coefficient structural acoustic model with curved middle surface and delay effects in the structural component, Energy decay for a weakly nonlinear damped porous system with a nonlinear delay, Regional gradient stabilization of semilinear distributed systems, A new method to obtain decay rate estimates for dissipative systems, Well-posedness for a nonlinear shallow spherical shell, General decay for a wave equation with Wentzell boundary conditions and nonlinear delay terms, Improved results on the nonlinear feedback stabilisation of a rotating body-beam system, Global existence and decay of energy to systems of wave equations with damping and supercritical sources, Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay, Global uniform stabilization to nontrivial equilibrium of a nonlinear fluid viscoelastic-structure interaction, Uniform stabilization of wave equation with localized damping and acoustic boundary condition, A unified approach via convexity for optimal energy decay rates of finite and infinite dimensional vibrating damped systems with applications to semi-discretized vibrating damped systems, Energy decay for a von Karman equation with time-varying delay, Unnamed Item, Frequency domain approach for the polynomial stability of a system of partially damped wave equations, Well-posedness and general decay for nonlinear damped porous thermoelastic system with second sound and distributed delay terms, Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics, Boundary stabilisation of the wave equation in the presence of singularities, General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping, Boundary feedforward and feedback control for the exponential tracking of the unstable high-dimensional wave equation, General decay result for nonlinear viscoelastic equations, General decay and blow up of solutions for a system of viscoelastic wave equations with nonlinear boundary source terms, Stability for the Mixed Problem Involving the Wave Equation, with Localized Damping, in Unbounded Domains with Finite Measure, Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping, Memory-type plate system with nonlinear delay, Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth, Stabilization of the wave equation with a nonlinear delay term in the boundary conditions, Existence of global attractors for a semilinear wave equation with nonlinear boundary dissipation and nonlinear interior and boundary sources with critical exponents, Existence and uniqueness of the solutions to second order abstract equations with nonlinear and nonmonotone boundary conditions, Well-posedness and a general decay for a nonlinear damped porous thermoelastic system with second sound, A general stability result for a von Karman system with memory and nonlinear boundary delay term, Long-time behavior of a nonlinearly-damped three-layer Rao-Nakra sandwich beam, Sharp decay rates for a class of nonlinear viscoelastic plate models, A general decay for a weakly nonlinearly damped porous system, Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping, Energy decay for wave equation of variable coefficients with dynamic boundary conditions and time-varying delay, Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects, Sharp energy estimates for nonlinearly locally damped PDEs via observability for the associated undamped system, A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations, A one-step optimal energy decay formula for indirectly nonlinearly damped hyperbolic systems coupled by velocities, Global existence for the wave equation with nonlinear boundary damping and source terms, Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory, Decay rates for Bresse system with arbitrary nonlinear localized damping, A New Method to Obtain Uniform Decay Rates for Multidimensional Wave Equations with Nonlinear Acoustic Boundary Conditions, Existence and stability results of a plate equation with nonlinear damping and source term, General decay for semi-linear wave equations with memory term and logarithmic source, Asymptotic stability of the semilinear wave equation with boundary damping and source term, Energy decay of variable-coefficient wave equation with acoustic boundary conditions and delay, Coupled second order evolution equations with fading memory: optimal energy decay rate, Unnamed Item, General decay rate estimates for viscoelastic dissipative systems, Convolution quadrature for the wave equation with a nonlinear impedance boundary condition, Uniform decay of energy for a porous thermoelasticity system with past history, Uniform decay rates for solutions to nonlinear shells with nonlinear dissipation, Unified approach to stabilization of waves on compact surfaces by simultaneous interior and boundary feedbacks of unrestricted growth, Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping, On a structural acoustic model which incorporates shear and thermal effects in the structural component, Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms, Boundary stabilization of nonlinear vibrations of a flexible structure in a bounded domain in \(\mathbb{R}^n\), Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms, On a structural acoustic model with interface a Reissner--Mindlin plate or a Timoshenko beam, Nonlinear stabilization of abstract systems via a linear observability inequality and application to vibrating PDE's, A general method for proving sharp energy decay rates for memory-dissipative evolution equations, Decay of an extensible viscoelastic plate equation with a nonlinear time delay, A direct method for the stabilization of some locally damped semilinear wave equations, Existence and asymptotic stability for viscoelastic problems with nonlocal boundary dissipation, Energy decay estimates for the damped plate equation with a local degenerated dissipation, Uniform stabilization of semilinear wave equations with localized internal damping and dynamic Wentzell boundary conditions with a memory term, A new general decay result for abstract evolution equation with time-dependent nonlinear dissipation, General decay of a nonlinear damping porous-elastic system with past history, General decay properties of abstract linear viscoelasticity, Linear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control → Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay Rates, Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback, Blow-up result and energy decay rates for binary mixtures of solids with nonlinear damping and source terms, Uniform stabilization of the wave equation on compact manifolds and locally distributed damping -- a sharp result, Unnamed Item, Asymptotic stability for a viscoelastic equation with nonlinear damping and very general type of relaxation functions, Unnamed Item, 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, New general decay results for a von Karman plate equation with memory-type boundary conditions, Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation, Uniform decay rates for a suspension bridge with locally distributed nonlinear damping, Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result, General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping, Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable, Viscoelastic versus frictional dissipation in a variable coefficients plate system with time-varying delay, General and optimal decay result for a viscoelastic problem with nonlinear boundary feedback, Energy decay and blow-up of solutions for a viscoelastic equation with nonlocal nonlinear boundary dissipation, Asymptotic stability for a strongly coupled Klein-Gordon system in an inhomogeneous medium with locally distributed damping, Generic transversality property for a class of wave equations with variable damping, Convergence to equilibrium for the damped semilinear wave equation with critical exponent and dissipative boundary condition, Uniform Synchronization of an Abstract Linear Second Order Evolution System, Nonlinear internal damping of wave equations with variable coefficients, DECAY RATES FOR A COUPLED VISCOELASTIC LAMÉ SYSTEM WITH STRONG DAMPING, Rational rates of uniform decay for strong solutions to a fluid-structure PDE system, Nonlinear boundary stabilization for Timoshenko beam system, Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay, Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping, Exponential stability for the wave equation with degenerate nonlocal weak damping