Exponential stability for the 2D wave model with localized memory in a past history framework and nonlinearity of arbitrary growth
From MaRDI portal
Publication:2110280
DOI10.1007/s12220-022-01085-wzbMath1504.35060OpenAlexW4312057578MaRDI QIDQ2110280
André Vicente, J. G. Simion Antunes, Marcelo Moreira Cavalcanti, Valéria Neves Domingos Cavalcanti
Publication date: 21 December 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-022-01085-w
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
Related Items (2)
Global well-posedness of solutions for 2-D Klein–Gordon equations with exponential nonlinearity ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exponential attractors for abstract equations with memory and applications to viscoelasticity
- Global attractors for nonlinear viscoelastic equations with memory
- Stabilization for the semilinear wave equation with geometric control condition
- A general decay result for a viscoelastic equation in the presence of past and finite history memories
- Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects
- Stability and exponential stability in linear viscoelasticity
- On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold
- Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result
- A new approach to equations with memory
- Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
- Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping
- Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
- 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
- Attractors for wave equations with degenerate memory
- Boundary controllability for the quasilinear wave equation
- On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
- Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
- Uniform stabilization of the wave equation on compact surfaces and locally distributed damping
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Asymptotic behavior of a semilinear problem in heat conduction with memory
- Asymptotic behavior of a class of abstract semilinear integrodifferential equations and applications
- A new method to obtain decay rate estimates for dissipative systems with localized damping
- Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
- Exponential decay of energy of vibrating strings with local viscoelasticity
- Exponential stability for the wave model with localized memory in a past history framework
- Oscillations of concentration effects in semilinear dispersive wave equations
- Decay of solutions of the elastic wave equation with a localized dissipation
- Unique continuation for weak solutions of the wave equation plus a potential
- Minimax theorems
- Dual variational methods in critical point theory and applications
- A general method for proving sharp energy decay rates for memory-dissipative evolution equations
- Global smooth solutions for the quasilinear wave equation with boundary dissipation
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Decay estimates for second order evolution equations with memory
- Asymptotic stability in viscoelasticity
- Fourier integral operators. II
- A well posedness result for nonlinear viscoelastic equations with memory
- Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth
- Asymptotic stability of the wave equation on compact manifolds and locally distributed viscoelastic dissipation
- Energy decay for the wave equation with boundary and localized dissipations in exterior domains
- Exponential Energy Decay for Damped Klein–Gordon Equation with Nonlinearities of Arbitrary Growth
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
- ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
- Microlocal defect measures
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Decay of solutions to nondissipative hyperbolic systems on compact manifolds
- Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
- Asymptotic behaviour of the energy in partially viscoelastic materials
- Stabilization and control for the subcritical semilinear wave equation
- Escape Function Conditions for the Observation, Control, and Stabilization of the Wave Equation
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Observability Inequalities for Shallow Shells
- Explicit Observability Inequalities for the Wave Equation with Lower Order Terms by Means of Carleman Inequalities
- Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping
- Dispersive estimates for principally normal pseudodifferential operators
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
- ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- TheXsθspaces and unique continuation for solutions to the semilinear wave equation
- Nonclassical diffusion with memory
- Note on intrinsic decay rates for abstract wave equations with memory
- Decay and Global Existence for Nonlinear Wave Equations with Localized Dissipations in General Exterior Domains
- Riemannian geometry and geometric analysis
- Global attractors for a semilinear hyperbolic equation in viscoelasticity
This page was built for publication: Exponential stability for the 2D wave model with localized memory in a past history framework and nonlinearity of arbitrary growth
