On a model connected with the Kirchhoff equation

DOI10.1006/jmaa.2001.7774zbMath0993.35066OpenAlexW2084856624MaRDI QIDQ1599108

Fabio Catalano

Publication date: 19 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7774

zbMATH Keywords

energy estimatescontraction methodglobal existence and uniquenessvon Wahl inequalities

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• On classical solutions of a quasilinear hyperbolic equation
• The initial value problem for a stretched string
• The initial value problem for a nonlinear semi-infinite string
• Nonlinear perturbations of the kirchhoff equation
• Global, small amplitude solutions to nonlinear evolution equations
• Non-Linear vibration of an elastic string
• Infinite Systems of Nonlinear Oscillation Equations Related to the String
• Infinite Systems of Nonlinear Oscillation Equations with Linear Damping
• On the non-linear vibration problem of the elastic string

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