Control, observation and polynomial decay for a coupled heat-wave system
type: Item
instance of: scholarly article
title: Control, observation and polynomial decay for a coupled heat-wave system
zbMATH Open document ID: 1029.93037
DOI: 10.1016/S1631-073X(03)00204-8
author: Enrique Zuazua
author: Xu Zhang
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2003-09-15T00:00:00Z
review text: This paper studies the control, observation and polynomial decay for a system composed of a wave and a heat equation in two bounded intervals, with a transmission condition at the interface point. Some optimal results of control and observation when the control acts on the boundary of the domains are obtained, and the polynomial decreasing of smooth solutions is shown. The proof uses energy estimates on the boundary, Carleman inequalities, spectral analysis and generalized inequalities of Ingham type.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 1981325
zbMATH Keywords: optimal control
zbMATH Keywords: optimal observation
zbMATH Keywords: polynomial decay
zbMATH Keywords: Carleman inequality
zbMATH Keywords: Ingham inequality
zbMATH Keywords: coupled heat-wave equation
MaRDI profile type: Publication
cites work: Q4040043
cites work: Polynomial decay and control of a 1-d model for fluid-structure interaction.
cites work: Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
cites work: Q3159191
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description: scientific article; zbMATH DE number 1981325