The operator \(B^*L\) for the wave equation with Dirichlet control
type: Item
instance of: scholarly article
title: The operator \(B^*L\) for the wave equation with Dirichlet control
zbMATH Open document ID: 1065.35171
DOI: 10.1155/S1085337504404011
author: Irena Lasiecka
author: R. Triggiani
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/51406
review text: Summary: In the case of the wave equation, defined on a sufficiently smooth bounded domain of arbitrary dimension, and subject to Dirichlet boundary control, the operator \(B^*L\) from boundary to boundary is bounded in the \(L_2\)-sense. The proof combines hyperbolic differential energy methods with a microlocal elliptic component. This is a corrigendum and addendum to the authors' paper [ibid. 2003, No. 19, 1061--1139 (2003; Zbl 1064.35100)].
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 2163679
zbMATH Keywords: hyperbolic differential energy methods
zbMATH Keywords: microlocal elliptic component
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2163679