×

zbMATH — the first resource for mathematics

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)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] DOI: 10.1137/0330055 · Zbl 0786.93009 · doi:10.1137/0330055
[2] Fabre C., CRAS Paris 315 pp 807– (1992)
[3] Hörmander, L. 1985. ”The Analysis of Linear Partial Differential Operators”. Springer Verlag. · Zbl 0601.35001
[4] Mizohata S., Memoris of Coll. of Sciences Univ. of Kyoto 31 pp 219– (1958)
[5] Robbiano L., Fonction de Coũt et contrõle des solutions des solutions pour quelques opeéqations hyperboliques, á paraítre dans Asymptotic Analysis. · Zbl 0882.35015
[6] Russell D., Studies in Applied Mathematics 52 pp 189– (1973)
[7] DOI: 10.1016/0022-0396(87)90043-X · Zbl 0631.35044 · doi:10.1016/0022-0396(87)90043-X
[8] Zuazua E., Controllability of the linear system of thermoelasticity á paratre au Journal de Maths Pures et Appliquées · Zbl 0846.93008
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.