On the existence and nonexistence of solutions for some nonlinear wave equations of Kirchhoff type

DOI10.11650/twjm/1500405967zbMath1223.35233OpenAlexW4247225567MaRDI QIDQ532968

Long-Yi Tsai, Shun-Tang Wu

Publication date: 6 May 2011

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

Full work available at URL: https://doi.org/10.11650/twjm/1500405967

zbMATH Keywords

Galerkin's methodviscosityexponential decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)

Related Items (2)

Global solutions for a nonlinear Kirchhoff type equation with viscosity ⋮ On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms

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