On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions
type: Item
instance of: scholarly article
title: On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions
zbMATH Open document ID: 1415.35042
author: Tae Gab Ha
published in: Evolution Equations and Control Theory
publication date: 2019-01-18T00:00:00Z
review text: Following previous works of the author about initial-boundary value problems with the same viscoelastic wave equation on bounded domains (for a scalar unknow), the present manuscript establishes the asymptotic decay to zero of global-in-time solutions under the acoustic boundary condition introduced by Beale and coauthors in [\textit{J. T. Beale}, Indiana Univ. Math. J. 26, 199--222 (1977; Zbl 0332.35053); ibid. 25, 895--917 (1976; Zbl 0325.35060); \textit{J. T. Beale} and \textit{S. I. Rosencrans}, Bull. Am. Math. Soc. 80, 1276--1278 (1974; Zbl 0294.35045)].
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 74D05
zbMATH DE Number: 7003544
zbMATH Keywords: viscoelastic wave equation
zbMATH Keywords: global existence
zbMATH Keywords: asymptotic decay rate
reviewed by: Sebastien Boyabal
MaRDI profile type: Publication
full work available at URL: eect.2018014
OpenAlex ID: W2801154400
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DOI: 10.3934/EECT.2018014
Wikidata QID: Q129829507
description: scientific article; zbMATH DE number 7003544