Energy decay of solutions to a wave equation with a dynamic boundary dissipation of fractional derivative type
type: Item
instance of: scholarly article
title: Energy decay of solutions to a wave equation with a dynamic boundary dissipation of fractional derivative type
zbMATH Open document ID: 1396.93103
DOI: 10.4171/ZAA/1616
author: Abbes Benaissa
author: Hanane Benkhedda
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2018-08-10T00:00:00Z
review text: Summary: We consider the wave equation with a dynamic boundary control condition of fractional derivative type. We study stability of the system using the semigroup theory of linear operators and a result obtained by Borichev and Tomilov.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 6916002
zbMATH Keywords: wave equation
zbMATH Keywords: dynamic boundary dissipation of fractional derivative type
zbMATH Keywords: frequency domain method
zbMATH Keywords: polynomial stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/1616
OpenAlex ID: W2811504960
Recommended article: Q4257963
Recommended article: Energy decay estimates for wave equations with a fractional damping.
Recommended article: Energy Decay of Solutions to a Nondegenerate Wave Equation with a Fractional Boundary Control
Recommended article: On the energy decay rate of the fractional wave equation on ℝ with relatively dense damping
Recommended article: Energy decay rates for solutions of the wave equation with boundary damping and source term
Recommended article: Q5433659
Recommended article: Well-posedeness and energy decay of solutions to a Bresse system with a boundary dissipation of fractional derivative type
Recommended article: Energy decay for the wave equation with a nonlinear weak dissipation
Recommended article: Energy decay estimates for the dissipative wave equation with space-time dependent potential
Recommended article: Decay of solutions of wave equations in a bounded region with boundary dissipation
description: scientific article; zbMATH DE number 6916002