## Taiwanese Journal of Mathematics

### ON COUPLED NONLINEAR WAVE EQUATIONS OF KIRCHHOFF TYPE WITH DAMPING AND SOURCE TERMS

Shun-Tang Wu

#### 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.

#### Article information

Source
Taiwanese J. Math., Volume 14, Number 2 (2010), 585-610.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500405808

Digital Object Identifier
doi:10.11650/twjm/1500405808

Mathematical Reviews number (MathSciNet)
MR2655788

Zentralblatt MATH identifier
1203.35165

#### Citation

Wu, Shun-Tang. ON COUPLED NONLINEAR WAVE EQUATIONS OF KIRCHHOFF TYPE WITH DAMPING AND SOURCE TERMS. Taiwanese J. Math. 14 (2010), no. 2, 585--610. doi:10.11650/twjm/1500405808. https://projecteuclid.org/euclid.twjm/1500405808

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