General decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measure
type: Item
instance of: scholarly article
title: General decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measure
zbMATH Open document ID: 1364.35041
author: Flávio Roberto Dias Silva
author: Flávio A. F. Nascimento
author: J. H. Rodrigues
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2016-01-05T00:00:00Z
review text: In this paper the authors study the uniform decay rates of the energy of the wave equation \[ u_{tt} + b(x) f(u_t) -\Delta u +\int_0^t g(t-s) \operatorname{div}(a(x)\nabla u(\cdot ,s)) ds =0 \] containing viscoelastic dissipation and a nonlinear frictional damping terms. If the localization terms \(a(x)\) and \(b(x)\) satisfy the condition \(a(x)+b(x)\geq \delta>0\) for each \(x \in \Omega\), then general decay rate estimates are derived in this paper.
reviewed by: Daniel Ševčovič
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 74D10
zbMATH DE Number: 6526486
zbMATH Keywords: nonlinear wave equation
zbMATH Keywords: viscoelastic damping
zbMATH Keywords: frictional damping
MaRDI profile type: Publication
full work available at URL: s00033-015-0547-5
OpenAlex ID: W789704164
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DOI: 10.1007/S00033-015-0547-5
description: scientific article; zbMATH DE number 6526486