Global existence and asymptotic behaviour for systems of nonlinear hyperbolic equations (Q5404672)

scientific article; zbMATH DE number 6275498

Language	Label	Description	Also known as
English	Global existence and asymptotic behaviour for systems of nonlinear hyperbolic equations	scientific article; zbMATH DE number 6275498

Statements

instance of

scholarly article

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title

Global existence and asymptotic behaviour for systems of nonlinear hyperbolic equations (English)

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published in

Applicable Analysis

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publication date

28 March 2014

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zbMATH Keywords

systems of nonlinear hyperbolic equations

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initial-boundary value problem

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global solutions

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asymptotic behaviour

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author

Yao-Jun Ye

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00036811.2012.742184

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cites work

Abstract non linear wave equations

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On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms

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Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms

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On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source

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Existence and asymptotic stability for evolution problems on manifolds with damping and source terms.

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Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction

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Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term

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Global existence, uniform decay and blow-up of solutions for a system of Petrovsky equations

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Bounded, periodic and almost periodic classical solutions of some nonlinear wave equations with a dissipative term

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Global classical solutions of nonlinear wave equations

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Die Existenz regulärer Lösungen für Cauchy- und Anfangs- Randwertprobleme nichtlinearer Wellengleichungen

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Saddle points and instability of nonlinear hyperbolic equations

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On global solution of nonlinear hyperbolic equations

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Nonlinear scattering theory for a class of wave equations in \(H^{s}\)

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Existence and asymptotic behavior of global solutions for a class of nonlinear higher-order wave equation

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Existence and non-existence of global solutions of the Cauchy problem for higher order semilinear pseudo-hyperbolic equations

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Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms

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

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Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms

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Global existence and nonexistence in a system of Petrovsky

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

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A new method to obtain decay rate estimates for dissipative systems

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Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation

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Identifiers

zbMATH Open document ID

1284.35081

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DOI

10.1080/00036811.2012.742184

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5404672