Strong convergence of difference approximations for problems of boundary control and observation for the wave equation
type: Item
instance of: scholarly article
title: Strong convergence of difference approximations for problems of boundary control and observation for the wave equation
zbMATH Open document ID: 0948.49016
author: M. M. Potapov
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-03T00:00:00Z
review text: The author considers the mutually dual problems of Dirichlet control and Neumann observation for the wave equation with variable coefficients. A variational method for solving discrete problems of control and observation is suggested that converges strongly not only in the functional but also in the argument over the entire class of controllability and observability.
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1467888
zbMATH Keywords: boundary control
zbMATH Keywords: second-order hyperbolic differential equation
zbMATH Keywords: observation
zbMATH Keywords: convergence
zbMATH Keywords: difference approximations
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467888