Initial value problem for a class of fourth-order nonlinear wave equations

DOI10.1007/S10483-009-0313-XzbMath1170.35473OpenAlexW1989244291MaRDI QIDQ1016216

Guowang Chen, Changshun Hou

Publication date: 4 May 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0313-x

zbMATH Keywords

contraction mapping principleblow upclassical global solutionfractional order Sobolev spacegeneralized global solution

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (4)

Decay estimate of solutions to the sixth order damped Boussinesq equation ⋮ Blow-up phenomena for a class of generalized double dispersion equations ⋮ Asymptotic behavior of global solutions to the Boussinesq equation in multidimensions ⋮ Global existence and asymptotic behavior of solutions to a nonlinear wave equation of fourth-order

Cites Work

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• Cauchy problem of the generalized double dispersion equation
• Blow up of solutions of a generalized Boussinesq equation
• Existence and nonexistence of global solutions for the generalized IMBq equation
• Existence and nonexistence of global solutions for nonlinear evolution equation of fourth order

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