Global exixtence and exponential decay estimates for a dampad quasilinear equation

DOI10.1080/03605309708821328zbMath0947.35092OpenAlexW1512693253MaRDI QIDQ4385688

Solange Kouémou Patcheu

Publication date: 30 October 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821328

zbMATH Keywords

Kirchhoff equationsmall initial dataGalerkin schemedamped wave equationvibrations of a nonlinear string

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

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• Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
• On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
• Infinite Systems of Nonlinear Oscillation Equations with Linear Damping