# Exponential stability for a coupled system of damped-undamped plate equations

## TL;DR

This paper proves that a coupled system of damped and undamped plate equations in bounded domains exhibits uniform exponential energy decay, regardless of the size of the damped region, due to the damping's strength.

## Contribution

It establishes exponential stability for a coupled damped-undamped plate system without size restrictions on the damped part.

## Key findings

- Uniform exponential decay of energy proven
- Damping strength suffices regardless of damped region size
- Coupled system stability analyzed in bounded domains

## Abstract

We consider the transmission problem for a coupled system of undamped and structurally damped plate equations in two sufficiently smooth and bounded subdomains. It is shown that, independently of the size of the damped part, the damping is strong enough to produce uniform exponential decay of the energy of the coupled system.