Exact controllability for the semilinear wave equation
type: Item
instance of: scholarly article
title: Exact controllability for the semilinear wave equation
zbMATH Open document ID: 0638.49017
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1990-01-01T00:00:00Z
review text: The exact boundary controllability problem for the semilinear wave equation is studied. We consider both Dirichlet and Neumann boundary conditions. A variant of the Hilbert uniqueness method of J. L. Lions is presented. The exact controllability is proven when the nonlinearity is asymptotically linear. On the other hand, local controllability results are proven for a large class of nonlinearities.
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 4040684
zbMATH Keywords: exact boundary controllability
zbMATH Keywords: semilinear wave equations
zbMATH Keywords: Dirichlet and Neumann boundary conditions
zbMATH Keywords: Hilbert uniqueness method
zbMATH Keywords: local controllability
author: Enrique Zuazua
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4040684