Wu, Shun-Tang On coupled nonlinear wave equations of Kirchhoff type with damping and source terms. (English) Zbl 1203.35165 Taiwanese J. Math. 14, No. 2, 585-610 (2010). Summary: The initial boundary value problem for a system of nonlinear wave equations of Kirchhoff type with strong damping in a bounded domain is considered. The existence, asymptotic behavior and blow-up of solutions are discussed under some conditions. The decay estimates of the energy function and the estimates for the lifespan of solutions are given. Cited in 1 Document MSC: 35L53 Initial-boundary value problems for second-order hyperbolic systems 35L72 Second-order quasilinear hyperbolic equations 35B40 Asymptotic behavior of solutions to PDEs 35R09 Integro-partial differential equations 35B44 Blow-up in context of PDEs Keywords:strong damping; decay estimates; estimates for lifespan PDFBibTeX XMLCite \textit{S.-T. Wu}, Taiwanese J. Math. 14, No. 2, 585--610 (2010; Zbl 1203.35165) Full Text: DOI