Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms (Q5081933)

scientific article; zbMATH DE number 7544275

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English	Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms	scientific article; zbMATH DE number 7544275

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instance of

scholarly article

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title

Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms (English)

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author

Martinez Victor H. Gonzalez

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Marcelo Moreira Cavalcanti

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published in

Asymptotic Analysis

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publication date

17 June 2022

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zbMATH Keywords

wave equation

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Kelvin-Voigt damping

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frictional damping

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source term

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MaRDI profile type

MaRDI publication profile

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cites work

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Imperfect geometric control and overdamping for the damped wave equation

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Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes

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Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result

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Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result

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Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping

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Q5352054

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Q2774041

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Q4879447

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Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping

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Exponential stability for the wave equations with local Kelvin-Voigt damping

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A new method to obtain decay rate estimates for dissipative systems with localized damping

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Escape Function Conditions for the Observation, Control, and Stabilization of the Wave Equation

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Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations

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Semigroups of linear operators and applications to partial differential equations

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Decay of solutions to nondissipative hyperbolic systems on compact manifolds

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Unique continuation for weak solutions of the wave equation plus a potential

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Compact sets in the space \(L^ p(0,T;B)\)

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Stabilization of the wave equation with localized nonlinear damping

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Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping

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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

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Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot

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Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping

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full work available at URL

https://doi.org/10.3233/asy-211706

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Identifiers

zbMATH Open document ID

1506.35158

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DOI

10.3233/ASY-211706

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5081933