Global existence, decay and blow up solutions for coupled nonlinear wave equations with damping and source terms

Authors: ERHAN PİŞKİN, NECAT POLAT

Abstract: We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function are established by using Nakao's inequality. The nonexistence of global solutions is discussed under some conditions on the given parameters.

Keywords: Decay rate, blow up, initial boundary value problem, nonlinear wave equations

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