Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain

TL;DR

This paper investigates how the energy of wave equation solutions decays over time when nonlinear damping is applied in exterior domains, providing insights into stabilization mechanisms.

Contribution

It analyzes energy decay rates for wave equations with localized nonlinear damping in exterior domains, a novel focus in the study of wave stabilization.

Findings

Established decay rate estimates for energy

Demonstrated effectiveness of nonlinear damping in exterior domains

Provided theoretical framework for stabilization analysis

Abstract

In this paper we study the behaviors of the energy of solutions of the wave equations with localized nonlinear damping in exterior domains.