Global classical solutions of IBVP to nonlinear equation of a suspended string

DOI10.3836/TJM/1233844058zbMath1196.35143OpenAlexW2004170664MaRDI QIDQ1012438

Jaipong Wongsawasdi, Masaru Yamaguchi

Publication date: 21 April 2009

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1233844058

zbMATH Keywords

Galerkin methodone space dimensioncompactness argumenthigher order energy estimatesnonlinear time-independent outer force

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Strings (74K05)

Related Items (3)

Existence and stability of almost periodic solutions of nonlinear damped equations of a suspended string ⋮ Global smooth solutions of IBVP to nonlinear equation of suspended string ⋮ Global classical solutions of IBVP to nonlinear equation of a suspended string

Cites Work

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• Global classical solutions of IBVP to nonlinear equation of a suspended string
• Almost periodic oscillations of suspended string under quasiperiodic linear force
• Forced oscillations of nonlinear damped equation of suspended string
• The existence of a global classical solution of the initial boundary value problem for \(\square u+u^ 3 = f\)
• A Proof of Kirkman's Hypothesis

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