Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions (Q5129750)

scientific article; zbMATH DE number 7265480

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English	Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions	scientific article; zbMATH DE number 7265480

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instance of

scholarly article

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title

Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions (English)

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Quaestiones Mathematicae

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publication date

23 October 2020

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zbMATH Keywords

strong damping

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nonlinear boundary damping

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.2989/16073606.2019.1595768

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cites work

Q4073917

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Second order evolution equations with dynamic boundary conditions

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Existence and decay of solutions of a viscoelastic equation with a nonlinear source

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Existence and uniform decay for a non-linear viscoelastic equation with strong damping

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General decay rate estimates for viscoelastic dissipative systems

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Existence of a solution of the wave equation with nonlinear damping and source terms

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Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions

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Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions

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Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions

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Analyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions

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Existence and asymptotic behavior of the wave equation with dynamic boundary conditions

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Q2944143

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Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type

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Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)

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Global existence and blow-up of solutions for a strongly damped Petrovsky system with nonlinear damping

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Q5890172

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Global existence, asymptotic behavior and blow-up of solutions for a viscoelastic equation with strong damping and nonlinear source

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General decay rate estimate for the energy of a weak viscoelastic equation with an internal time-varying delay term

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Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions

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Existence and general decay for nondissipative distributed systems with boundary frictional and memory dampings and acoustic boundary conditions

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General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions

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On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term

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Blow up and global existence in a nonlinear viscoelastic wave equation

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Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation

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Q4440778

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Global existence and uniform stability of solutions for a quasilinear viscoelastic problem

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Spectral analysis and limit behaviours in a spring-mass system

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Lower bounds for blow-up time in a class of nonlinear wave equations

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Non-existence of global solutions for nonlinear strongly damped hyperbolic systems

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Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources

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Blow-up results for a nonlinear hyperbolic equation with Lewis function

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Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms

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Q4525194

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Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms

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Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term

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On the strongly damped wave equation with nonlinear damping and source terms

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Energy decay for a nonlinear viscoelastic rod equations with dynamic boundary conditions

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Identifiers

zbMATH Open document ID

1450.35082

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DOI

10.2989/16073606.2019.1595768

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5129750