Global existence and energy decay for a coupled system of Kirchhoff type equations with damping and source terms

Abstract

This paper deals with the global existence and energy decay of solutions to some coupled system of Kirchhoff type equations with nonlinear dissipative and source terms in a bounded domain. We obtain the global existence by defining the stable set in H01(Ω) × H01(Ω), and the energy decay of global solutions is given by applying a lemma of V. Komornik.