Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity

Abstract

This work deals with a system of Kirchhoff‐type equations with viscoelastic term and logarithmic nonlinearity. First, we proved the global existence by combining the potential well method with Faedo–Galerkin's procedure. Later, we established decay rate estimates by using multiplier method.