Exact controllability of the wave equation with Neumann boundary condition and time-dependent coefficients
type: Item
instance of: scholarly article
title: Exact controllability of the wave equation with Neumann boundary condition and time-dependent coefficients
zbMATH Open document ID: 1002.93023
author: M. M. Cavalcanti
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2002-12-26T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73481
review text: The author gives a result on exact controllability of the wave equation with Neumann boundary conditions and time-dependent coefficients. To this end, the Hilbert uniqueness method of J.-L. Lions along with multiplier techniques are used. In order to obtain the inverse inequality, the author gets a regularity result of the inverse problem, which is the main task of this article.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 1491214
zbMATH Keywords: wave equation
zbMATH Keywords: controllability
zbMATH Keywords: Neumann boundary conditions
zbMATH Keywords: time-dependent coefficients
zbMATH Keywords: Hilbert uniqueness method
zbMATH Keywords: multiplier techniques
zbMATH Keywords: inverse inequality
reviewed by: Ovidiu Cârjă
MaRDI profile type: Publication
OpenAlex ID: W2078949075
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DOI: 10.5802/AFST.922
description: scientific article; zbMATH DE number 1491214