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Exact Neumann boundary controllability for problems of transmission of the wave equation

Published online by Cambridge University Press:  19 July 2001

WEIJIU LIU  and
GRAHAM H. WILLIAMS
WEIJIU LIU
Affiliation:
Department of Mathematics, University of Wollongong, Northfields Avenue, Wollongong, NSW 2522, Australia; e-mail: w.liu@uow.edu.au; ghw@uow.edu.au
GRAHAM H. WILLIAMS
Affiliation:
Department of Mathematics, University of Wollongong, Northfields Avenue, Wollongong, NSW 2522, Australia; e-mail: w.liu@uow.edu.au; ghw@uow.edu.au
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Abstract

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Using the Hilbert Uniqueness Method, we study the problem of exact controllability in Neumann boundary conditions for problems of transmission of the wave equation. We prove that this system is exactly controllable for all initial states in L2(Ω)×(H1(Ω))′.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 1 , March 1999 , pp. 125 - 139
Copyright
1999 Glasgow Mathematical Journal Trust