Exact boundary controllability for the wave equation in domains with small holes
type: Item
instance of: scholarly article
title: Exact boundary controllability for the wave equation in domains with small holes
zbMATH Open document ID: 0843.35009
author: D. Cioranescu
author: P. Donato
author: Enrique Zuazua
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1995-12-05T00:00:00Z
review text: The authors consider the wave equation with Dirichlet boundary controls in perforated domains with small holes. Their aim is to give an answer to a uniform exact controllability time not depending on the perturbations. Weighted controls are supplied to the whole boundary which allow to describe the asymptotic behavior of the system. When the size of the holes is small enough, at the limit the wave equation is achieved with a boundary control. When the holes are of critical size, the wave equation is obtained, at the limit, with an additional term of order zero and two controls: the first one is a boundary control and the second one an internal control.
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 810296
zbMATH Keywords: perforated domains
zbMATH Keywords: small holes
zbMATH Keywords: boundary control
zbMATH Keywords: internal control
reviewed by: Marco Codegone
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 810296