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Sur la Controlabilite Exacte Elargie

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Partial Differential Equations and the Calculus of Variations

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 1))

Résumé

Soit Ω un ouvert borné de R n, de frontière régulière Γ. On considère dans le domaine Ω × (0, +∞), l’équation des ondes

$${{{\partial ^2}y} \over {\partial {t^2}}} - \Delta y = 0.$$
((1.1))

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Bibliographie

  • C.Bardos, G.Lebeau, J.Rauch [1], Appendice II de J.L.Lions [2].

    Google Scholar 

  • A.El Jai, A.Gonzales [1], Actionneurs frontières pour l’exacte contrôlabilité de systèmes hyperboliques, Rapport Université de Perpignan, Décembre 1987.

    Google Scholar 

  • R.Glowinski, C.H.Li, J.L.Lions [1], A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: description of the numerical methods, Japan Journal of Applied Math. 1989.

    Google Scholar 

  • A.Haraux [1], Contrôlabilité exacte d’une membrane rectangulaire au moyen d’une fonctionnelle analytique localisée. C.R.A.S. 1988.

    Google Scholar 

  • I.Lasiecka, R.Triggiani [1], Exact controllability for the wave equation with Neumann boundary control, à paraître.

    Google Scholar 

  • J.L.Lions [1], Exact controllability, stabilization and perturbations for distributed systems. J.Von Neumann Lecture, Boston 1986, SIAM Rev. March 1988. [Developpements de la note C.R.A.S. Paris 302 (1986), 471–475].

    Google Scholar 

  • J.L.Lions [2], Contrôlabilité exacte des systèmes distribués. Vol.1. Contrôlabilité exacte., R.M.A. Masson, 1988 (Notes du cours au Collège de France, rédigées par E.Zuazua).

    Google Scholar 

  • J.L.Lions [3], Contrôlabilité exacte des systèmes distribués, Vol. 2 Perturbations, R.M.A. Masson, 1988

    Google Scholar 

  • J.L.Lions, E.Magenes[1], Problèmes aux limites non homogènes et applications, Vol. 1 et 2, Dunod, Paris, 1968.

    MATH  Google Scholar 

  • Y.Meyer [1], Travail à paraître.

    Google Scholar 

  • D.L.Russel [1], Controllability and stabilization theory for linear partial differential equations. Recent progress and open questions, SIAM Rev. 20 (1978), p.639–739.

    Article  MathSciNet  Google Scholar 

  • E.Zuazua [1], Contrôlabilité exacte de systèmes d’évolution non linéaires. C.R.A.S. Paris, 1988.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Collège de France, 11, Pl. Marcelin Berthélot, F-75005, Paris, France

    Jacques-Louis Lions

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  1. Jacques-Louis Lions
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Universita di Pisa, Via F. Buonarroti 2, 56100, Pisa, Italy

    Ferruccio Colombini , Antonio Marino , Luciano Modica  & Sergio Spagnolo , ,  & 

Additional information

Dédié à Ennio De Giorgi pour son soixantième anniversaire

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© 1989 Springer Science+Business Media New York

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Lions, JL. (1989). Sur la Controlabilite Exacte Elargie. In: Colombini, F., Marino, A., Modica, L., Spagnolo, S. (eds) Partial Differential Equations and the Calculus of Variations. Progress in Nonlinear Differential Equations and Their Applications, vol 1. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4615-9831-2_8

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  • DOI: https://doi.org/10.1007/978-1-4615-9831-2_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4615-9833-6

  • Online ISBN: 978-1-4615-9831-2

  • eBook Packages: Springer Book Archive

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