Well-posedness and exponential stability for a Klein-Gordon system with locally distributed viscoelastic dampings in a past-history framework
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Publication:2111230
DOI10.1016/j.jde.2022.11.022zbMath1504.35065OpenAlexW4309751477MaRDI QIDQ2111230
A. Y. Souza Franco, Josiane C. O. Faria
Publication date: 28 December 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.022
Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Cites Work
- Global attractors for nonlinear viscoelastic equations with memory
- A new approach to equations with memory
- Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping
- Attractors for wave equations with degenerate memory
- Weak solutions for a system of nonlinear Klein-Gordon equations
- Asymptotic behavior of a semilinear problem in heat conduction with memory
- Exponential stability for the wave model with localized memory in a past history framework
- Decay of solutions of a system of nonlinear Klein-Gordon equations
- On a mixed problem for a class of nonlinear Klein-Gordon equations
- Asymptotic stability for a strongly coupled Klein-Gordon system in an inhomogeneous medium with locally distributed damping
- Stabilization and control for the nonlinear Schrödinger equation on a compact surface
- Asymptotic stability in viscoelasticity
- A well posedness result for nonlinear viscoelastic equations with memory
- Asymptotic stability for a generalized nonlinear Klein-Gordon system
- Uniform stabilization of the Klein-Gordon system
- Microlocal defect measures
- Exponential decay for a nonlinear system of hyperbolic equations with locally distributed dampings
- Stabilization and control for the subcritical semilinear wave equation
- Dispersive estimates for principally normal pseudodifferential operators
- ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- Nonclassical diffusion with memory
- Global attractors for a semilinear hyperbolic equation in viscoelasticity
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