Null controllability of a cascade system of parabolic-hyperbolic equations
type: Item
instance of: scholarly article
title: Null controllability of a cascade system of parabolic-hyperbolic equations
zbMATH Open document ID: 1059.93054
author: Enrique Fernández-Cara
author: Luz de Teresa
published in: Discrete and Continuous Dynamical Systems
publication date: 2004-10-27T00:00:00Z
review text: The paper treats the null controllability of a cascade linear system formed by a heat and a wave equation in a cylinder \(\Omega \times (0,T)\), where \(\Omega \in \mathbb R^N\) is a bounded domain of class \(C^2\). The control acts only on the heat equation and is supported by a set of the form \(\omega \times (0,T)\), \(\omega\) being a nonempty, open subset of \(\Omega\). In the wave equation, only the restriction of the solution to the heat equation to another set \({\mathcal O} \times (0,T)\) appears. It is proved that under appropriate assumptions concerning \(T, \omega\) and \({\mathcal O}\), the system is null controllable.
reviewed by: Gheorghe Aniculăesei
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35M20
zbMATH DE Number: 2110783
zbMATH Keywords: null controllability
zbMATH Keywords: wave equation
zbMATH Keywords: distributed control
zbMATH Keywords: coupled systems of partial differential equations
MaRDI profile type: Publication
full work available at URL: dcds.2004.11.699
OpenAlex ID: W2057386526
DOI: 10.3934/DCDS.2004.11.699
description: scientific article; zbMATH DE number 2110783