Energy decay of solution for nonlinear delayed transmission problem

Abstract

In this work, we consider a nonlinear transmission problem in the bounded domain with a delay term in the first equation. Under conditions on the weight of the damping and the weight of the delay, we prove general stability estimates by introducing a suitable Lyapunov functional and using the properties of convex functions.

Keywords

• nonlinear transmission problem
• delay term
• decay rate
• lyapunov functions