
Accession Number : AD0765758
Title : A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations.
Descriptive Note : Technical rept. 1 Oct 7230 Sep 73,
Corporate Author : WISCONSIN UNIV MADISON DEPT OF MATHEMATICS
Personal Author(s) : Russell,David L.
Report Date : 16 AUG 1973
Pagination or Media Count : 47
Abstract : With use of the method of spherical means the author is able to show that control processes modelled by the wave equation in a domain omega is a subset of (R sup n) are exactly controllable in finite time by control forces applied at the boundary of the spatial region omega. The introduction of certain concepts from harmonic analysis together with use of the Fourier transform enables one to apply this result to obtain finite time exact controllability theorems for processes modelled by the heat equation in the same region omega with controls of the same type. (Author)
Descriptors : (*PARTIAL DIFFERENTIAL EQUATIONS, THEOREMS), CONTROL SYSTEMS, HILBERT SPACE, SET THEORY, FOURIER ANALYSIS, HARMONIC ANALYSIS, WAVE FUNCTIONS, HEAT TRANSFER, INTEGRAL TRANSFORMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE