Global existence of solutions and energy decay for a Kirchhoff-type equation with nonlinear dissipation

DOI10.1186/1029-242X-2013-195zbMath1282.35247OpenAlexW2106308758WikidataQ59301551 ScholiaQ59301551MaRDI QIDQ394621

Yao-Jun Ye

Publication date: 27 January 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-195

zbMATH Keywords

stable setenergy decay estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (1)

Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term

Cites Work

• Saddle points and instability of nonlinear hyperbolic equations
• Decay estimates for the generalized damped extensible string and beam equations
• Local solutions for a nonlinear degenerate Hyperbolic equation
• Some nonlinear degenerate wave equations
• On local solutions of some mildly degenerate hyperbolic equations
• Nonlinear perturbations of the kirchhoff equation

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