Energy Decaying and Blow-Up of Solution for a Kirchhoff Equation with Strong Damping
Qiu De-hua · Journal of Mathematical Research and Exposition · 2009
The initial boundary value problem for a Kirchhoff equation with Lipschitz type continuous coefficient is studied on bounded domain.Under some conditions,the energy decaying and blow-up of solution are discussed.By refining method,the exponent decay estimates of the energy function and the estimates of the life span of blow-up solutions are given.