Abstract
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.
Citation
Shun-Tang Wu. "ON COUPLED NONLINEAR WAVE EQUATIONS OF KIRCHHOFF TYPE WITH DAMPING AND SOURCE TERMS." Taiwanese J. Math. 14 (2) 585 - 610, 2010. https://doi.org/10.11650/twjm/1500405808
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