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On a System of Nonlinear Wave Equations of Kirchhoff Type with a Strong Dissipation

並列摘要


The initial boundary value problem for systems of nonlinear wave equations of Kirchhoff type with strong dissipation in a bounded domain is considered. We prove the local existence of solutions by Banach fixed point theorem and blow-up of solutions by energy method. Some estimates for the life span of solutions are given.

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