Observability inequality for the finite-difference semi-discretization of the 1-d coupled wave equations
type: Item
instance of: scholarly article
title: Observability inequality for the finite-difference semi-discretization of the 1-d coupled wave equations
zbMATH Open document ID: 1314.65119
author: A. J. A. Ramos
author: D. S. Almeida Júnior
author: Mauro Santos
published in: Advances in Computational Mathematics
publication date: 2015-03-23T00:00:00Z
review text: The authors obtain observability estimates for a 1D system of two coupled wave equations which reads as \(u_{tt}-u_{xx}+\alpha (u-v)=0\) in \((0,L)\times (0,T)\), \(v_{tt}-v_{xx}+\alpha(v-u)=0\) in \((0,L)\times (0,T)\) subject to initial and boundary conditions. The approach relies on discrete multiplier techniques and Fourier series arguments.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 6418177
zbMATH Keywords: coupled wave equations
zbMATH Keywords: observability inequality
zbMATH Keywords: semi-discretization
zbMATH Keywords: discrete multiplier techniques
zbMATH Keywords: Fourier series
MaRDI profile type: Publication
full work available at URL: s10444-014-9351-6
OpenAlex ID: W2009792178
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DOI: 10.1007/S10444-014-9351-6
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description: scientific article; zbMATH DE number 6418177