Energy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping terms

Authors: ZEYNEP SÜMEYYE ÇELİK, ŞEVKET GÜR, ERHAN PİŞKİN

Abstract: In this work, we investigate generalized coupled nonlinear Klein-Gordon equations with nonlinear damping and source terms and initial-boundary value conditions, in a bounded domain. We obtain decay of solutions by use of Nakao inequality. The blow up of solutions with negative initial energy is also established.

Keywords: Decay,blow up, generalized Klein-Gordon equation

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