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Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) (French) Zbl 0819.35071

The authors prove exact controllability results for heat equation on a compact, convex \(C^ \infty\)-Riemannian manifold without geometrical restrictions concerning control region.

MSC:

35K05 Heat equation
58J35 Heat and other parabolic equation methods for PDEs on manifolds
35B37 PDE in connection with control problems (MSC2000)
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[1] DOI: 10.1137/0330055 · Zbl 0786.93009 · doi:10.1137/0330055
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[7] DOI: 10.1016/0022-0396(87)90043-X · Zbl 0631.35044 · doi:10.1016/0022-0396(87)90043-X
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