A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations.
Technical rept. 1 Oct 72-30 Sep 73,
WISCONSIN UNIV MADISON DEPT OF MATHEMATICS
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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
- Theoretical Mathematics